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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mech. Eng.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Mechanical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mech. Eng.</abbrev-journal-title>
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<issn pub-type="epub">2297-3079</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1609543</article-id>
<article-id pub-id-type="doi">10.3389/fmech.2025.1609543</article-id>
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<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
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<title-group>
<article-title>Design and development of a flexural spindle mechanism enabled in micro drilling machine tool within a PLM environment</article-title>
<alt-title alt-title-type="left-running-head">Shinde et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fmech.2025.1609543">10.3389/fmech.2025.1609543</ext-link>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Shinde</surname>
<given-names>Sachin Manohar</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Solanke</surname>
<given-names>Sachin</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Diwan</surname>
<given-names>Mohit</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Bhole</surname>
<given-names>Kiran S.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Salunkhe</surname>
<given-names>Sachin</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
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<given-names>Robert</given-names>
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<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<name>
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<xref ref-type="aff" rid="aff8">
<sup>8</sup>
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<sup>&#x2020;</sup>
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<aff id="aff1">
<label>1</label>
<institution>Department of Mechanical Engineering, Datta Meghe College of Engineering</institution>, <city>Mumbai</city>, <country country="IN">India</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>General Engineering Department, Institute of Chemical Technology</institution>, <city>Mumbai</city>, <country country="IN">India</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Department of Mechanical Engineering, Ahmedabad Institute of Technology</institution>, <city>Ahmedabad</city>, <state>Gujarat</state>, <country country="IN">India</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>Department of Mechanical Engineering, Sardar Patel College of Engineering, Bhavan&#x2019;s Campus, Bhavans College Rd</institution>, <city>Mumbai</city>, <country country="IN">India</country>
</aff>
<aff id="aff5">
<label>5</label>
<institution>Department of Biosciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences</institution>, <city>Chennai</city>, <country country="IN">India</country>
</aff>
<aff id="aff6">
<label>6</label>
<institution>Department of Mechanical Engineering, Gazi University Faculty of Engineering</institution>, <city>Ankara</city>, <country country="TR">T&#xfc;rkiye</country>
</aff>
<aff id="aff7">
<label>7</label>
<institution>Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava</institution>, <city>Ostrava</city>, <country country="CZ">Czechia</country>
</aff>
<aff id="aff8">
<label>8</label>
<institution>Department of Industrial Engineering, College of Engineering, King Saud University</institution>, <city>Riyadh</city>, <country country="SA">Saudi Arabia</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Sachin Manohar Shinde, <email xlink:href="mailto:sachinsalunkhe@gazi.edu.tr">sachin.shinde@dmce.ac.in</email>
</corresp>
<fn fn-type="other" id="fn001">
<label>&#x2020;</label>
<p>ORCID: Sachin Manohar Shinde, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0002-8332-3547">orcid.org/0000-0002-8332-3547</ext-link>; Sachin Solanke, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-9068-8379">orcid.org/0000-0001-9068-8379</ext-link>; Mohit Diwan, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0009-0007-8628-2289">orcid.org/0009-0007-8628-2289</ext-link>; Kiran S. Bhole, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0002-7466-2213">orcid.org/0000-0002-7466-2213</ext-link>; Sachin Salunkhe, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-6542-2050">orcid.org/0000-0001-6542-2050</ext-link>; Robert Cep, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-9610-4215">orcid.org/0000-0001-9610-4215</ext-link>; Emad Abouel Nasr, <ext-link ext-link-type="uri" xlink:href="https://orcid.org/0000-0001-6967-7747">orcid.org/0000-0001-6967-7747</ext-link>
</p>
</fn>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-12">
<day>12</day>
<month>01</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>11</volume>
<elocation-id>1609543</elocation-id>
<history>
<date date-type="received">
<day>10</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>02</day>
<month>12</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>12</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2026 Shinde, Solanke, Diwan, Bhole, Salunkhe, Cep and Nasr.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Shinde, Solanke, Diwan, Bhole, Salunkhe, Cep and Nasr</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-12">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>The advent of designing flexural systems was to provide accurate micro and nano displacement between the assembly members of the mechanism. Applications that used these mechanisms included linear compressors, optomechanical devices, Stirling engines, cryocoolers, microcheck valves, Flexure-based Electromagnetic Linear actuators, and so on. This paper focuses on the machine-tool fabrication of a novel flexural mechanism encased within the spindle head of the microdrilling head. The mechanism cushioned the micro drill and protected it from permanent damage when encountering undeclared resistance in the material matrix. Furthermore, this paper focuses solely on building a 3-axis drilling machine tool in a Product Lifecycle Management environment. The study follows a systematized approach for validating the machine tool design, starting with the hierarchical assembly of components using various kinematic chains. The next phase involves assigning the necessary motions to these components. The final stage utilizes a virtual controller and post-processor to simulate and control machine tool movements. Validation is then performed on the simulated workpiece to ensure design accuracy and functionality. The key findings of the studies indicate that the designed mechanism can move in and out and can also puncture micro-holes in metal. This is the mechanism&#x2019;s capability, which is the novelty.</p>
</abstract>
<kwd-group>
<kwd>flexural mechanism</kwd>
<kwd>product lifecycle management</kwd>
<kwd>standard simulation</kwd>
<kwd>synthesizing</kwd>
<kwd>virtual machine tool</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>King Saud University</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100002383</institution-id>
</institution-wrap>
</funding-source>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. The authors express their appreciation to King Saud University for funding this research through the Ongoing Research Funding program (ORF-2025&#x2013;164). This article was co-funded by the European Union under the REFRESH&#x2013;Research Excellence for Region Sustainability and High-tech Industries project number CZ.10.03.01/00/22_003/0000048 <italic>via</italic> the Operational Programme Just Transition and has been done in connection with project Students Grant Competition SP2024/087 Specific Research of Sustainable Manufacturing Technologies &#x201c;financed by the Ministry of Education, Youth and Sports and Faculty of Mechanical Engineering V&#x160;B-TUO. The article has been done in connection with the project Students Grant Competition SP2024/087&#x201d;, Specific Research of Sustainable Manufacturing Technologies &#x201c;financed by the Ministry of Education, Youth and Sports and Faculty of Mechanical Engineering V&#x160;B-TUO&#x201d;.</funding-statement>
</funding-group>
<counts>
<fig-count count="21"/>
<table-count count="0"/>
<equation-count count="0"/>
<ref-count count="36"/>
<page-count count="17"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Solid and Structural Mechanics</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>The microdrilling process is very challenging because it depends on many factors, including the material being drilled, drill diameter, feed and speed, depth of cut, and coolant used. Further apart from the Ametricon head&#x2019;s ability, the spindle head, along with the in-line of the Z-axis, is significant. Further, the resistance force exerted by the test piece material due to its inhomogeneity may cause additional stress at the micro drill&#x2019;s weakest section. Because micro drills have small diameters, any additional resistance may permanently rupture them. Hence, to address this problem, a flexural mechanism is designed to ensure dumping or provide a cushioning effect for the micro drill. This paper focuses on synthesizing a &#x201c;flexural spindle micro drilling machine tool&#x201d; within the PLM environment, specifically using Siemens NX 12. The flexural spindle head, which encases the flexural mechanism, tends to move into and out of the direction about the axis of the flexural mechanism. The complete mechanism is clamped to the periphery of the casing and opens on one side (toward the bed side). The bearings arrest the spindle within the flexural mechanism. The spindle now turns out to be a cantilever in design and construction. The spindle moves in and out of the fro direction. The spindle uses a collet chuck to clamp the micro drill. In micro-hole drilling, when the drilling thrust is inside the material, the resistance force provided by the workpiece specimen is greater than the resistive force on the minimum cross-section of the micro-drill&#x2014;the micro-drill breaks. A flexural mechanism between the drill and the spindle body overcomes this problem. The mechanism provides micro-displacement and cushioning to the micro-drill, preventing permanent breakage. This is the new novelty established in the paper, which contrasts with the conventional micro-drilling process on CNC machines. The basic design of flexural mechanisms mainly showed interest for the dynamic balancing of the compressor shaft used in cryogenics. As this was used in a spacecraft, it was difficult to oil. The authors have tried to use this bearing as a &#x201c;micro positioner&#x201d; in dynamic conditions. This is a contribution to society. Further, for the drilling process, the authors have performed a drilling simulation and confirmed an error-free tool path. The tool paths obtained are collision- and gouge-free, as shown in a visual simulation of the tool, and the machine tool components are visible. Checking the tool path in the vicinity of the machine tool is only available in the PLM environment. The PLM environment provides a perfect virtual environment where, as with the rest of the CAM packages, error-free paths are available. The integration of Product Lifecycle Management (PLM) platforms with manufacturing tools such as CAD, CAE, and CAM has become increasingly prevalent, as <xref ref-type="bibr" rid="B25">Sanchez Gomez et al. (2017)</xref> highlights. This integration provides a comprehensive product development environment, facilitating a seamless transition from product conception through its entire lifecycle. The PLM environment offers significant advantages, including reduced operational costs and the establishment of a concurrent engineering framework. In this integrated setup, CAD tools enable behavioral and synchronous modeling, CAE tools refine design optimization, and CAM tools handle detailed manufacturing and toolpath generation. Guerra-Zubiaga has emphasized the necessity of advanced methods and digital tools in a cross-functional business environment, asserting that PLM platforms enhance knowledge transfer and information flow throughout the product lifecycle (<xref ref-type="bibr" rid="B25">Sanchez Gomez et al., 2017</xref>). Chan further discusses the role of graphical solutions in integrating product and process design, noting the competitive advantage of virtual manufacturing. This virtual environment allows for high-quality product development at reduced costs and faster timelines. Despite the availability of various CAD/CAM/CAE software packages, Chan also highlights limitations in data exchange capabilities, underscoring the need for an &#x201c;Integrated Product and Process Design (IPPD) approach (<xref ref-type="bibr" rid="B7">Chan, 2003</xref>). The principles of interactive design and manufacturing, as described by Fischer and Coutellier, support lateral information sharing and innovation through virtual testing, reducing the time and cost associated with physical manufacturing (<xref ref-type="bibr" rid="B10">Fischer et al., 2006</xref>). Using graphical simulations, as Abdul Kadir and Kumar explored, helps avoid miscalculations, accelerates time-to-market, and minimizes waste (<xref ref-type="bibr" rid="B13">Kadir et al., 2011</xref>). Recent advancements in virtual machine tool simulation within the PLM framework have enabled detailed simulations of machining operations, including tool path and collision detection (<xref ref-type="bibr" rid="B1">Altintas et al., 2005</xref>). The capability to simulate machine tool movements and process parameters in real time enhances training and operational accuracy. Despite progress, the transition of virtual simulations to industrial applications remains challenging, as noted by <xref ref-type="bibr" rid="B14">Lagarrigue et al. (2006)</xref>. Hajicek discusses the creation of a machine tool simulator using an optimized layout and a Common Simulation Engine (CSE) template, incorporating the machine tool kinematic structure, post-processor, machine coordinate system (MCS) driver, and a service library. <xref ref-type="bibr" rid="B18">Lisboa Borsatti et al. (2014)</xref> defines a virtual environment as an advanced user interface that facilitates real-time interaction and visualization (<xref ref-type="bibr" rid="B14">Lagarrigue et al., 2006</xref>). Ercetinet al. provide a comprehensive overview of the evolving role of image processing in machined surface analysis, emphasizing its growing importance across multiple industries. Integrating deep learning, artificial intelligence (AI), and machine learning (ML) into image processing algorithms has significantly enhanced surface analysis capabilities (<xref ref-type="bibr" rid="B9">Ercetin et al., 2024</xref>). These advancements have improved accuracy and efficiency and expanded image processing applications into sectors such as healthcare, manufacturing, aerospace, automotive, and agriculture. In traditional and CNC machining, image processing has become essential for applications such as tool wear analysis, workpiece origin detection, automatic CNC program generation, and tool setting. The ability to conduct real-time inspections and predict surface roughness during machining has dramatically reduced downtime and enhanced product quality. Similarly, image processing techniques have revolutionized surface texturing and quality monitoring in micromachining, enabling more intricate and precise work. Additive manufacturing has also benefited significantly from advances in image processing. These advancements have facilitated in-process defect detection, real-time monitoring, and quality enhancement during pre- and post-processing operations. As a result, overall efficiency and quality control in additive manufacturing have improved considerably. The paper explores prospects and potential developments in image processing. The emergence of high-resolution and 3D imaging, coupled with AI and ML advancements, is expected to further enhance quality control, predictive maintenance, and productivity across industries. However, challenges such as data privacy concerns and the demand for skilled professionals to manage these technologies remain key considerations. In conclusion, this review highlights the transformative impact of image processing in machined surface analysis. Its integration into machining processes has streamlined quality control, increased efficiency, and paved the way for further innovation and research. As technology continues to evolve, the potential applications of image processing in industrial and scientific fields will continue to expand, ushering in a new era of precision, efficiency, and data-driven decision-making. Further, Pimenov et al. comprehensively review image processing applications in machined surface analysis, focusing on tool condition monitoring (TCM). It highlights the integration of artificial intelligence (AI), machine learning (ML), and deep learning to enhance accuracy and efficiency across the manufacturing, aerospace, and healthcare industries (<xref ref-type="bibr" rid="B23">Pimenvo et al., 2024</xref>). Both direct and indirect image-processing methods for tool wear analysis are explored, with direct methods enabling real-time measurement <italic>via</italic> synchronized cameras, while indirect methods estimate wear based on factors such as chip geometry and surface roughness. Advanced techniques such as neural networks, image thresholding, and tool shape descriptors improve tool wear recognition and classification. Image processing is also crucial in additive manufacturing for defect detection and quality control. Future advancements in AI, IoT, smart manufacturing, and digital twins will further revolutionize machining processes, improving predictive maintenance and productivity. The paper concludes that image processing is a transformative tool for quality control and efficiency, shaping the future of industrial automation and precision manufacturing (<xref ref-type="bibr" rid="B21">Pany and Rao, 2004</xref>; <xref ref-type="bibr" rid="B19">Pany, 2023</xref>). As shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. <xref ref-type="sec" rid="s2">Section 2</xref> explains the concept of the flexural design head; <xref ref-type="sec" rid="s3">Section 3</xref> outlines the methodical procedure for machine tool construction; <xref ref-type="sec" rid="s4">Section 4</xref> details the kinematic chain assembly; <xref ref-type="sec" rid="s5">Section 5</xref> addresses coordinate system assignment; Section 6 explains the virtual controller; and Section 7 discusses the machine tool&#x2019;s validation. This study represents preliminary work on machine tool design, with physical movement analysis outside its scope.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Assembly component of flexural head.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g001.tif">
<alt-text content-type="machine-generated">Close-up of a mechanical component with a cylindrical section held in a person&#x27;s hand. Adjacent is an exploded technical diagram showing the component&#x27;s assembly, including parts like the main housing, flexible coupling, bearings, and motor. Labels identify each part, such as the main housing top body, spiral flexural disc, and micro drill.</alt-text>
</graphic>
</fig>
<p>The flexural bearing in the flexural cartridge functions as a linear guide, moving back and forth to alleviate the axial load applied to the drilling workpiece (<xref ref-type="bibr" rid="B30">Shinde et al., 2022</xref>; <xref ref-type="bibr" rid="B27">Shinde and Lekurwale, 2018</xref>). The movement of the flexural element carrying the shaft loaded in the bearing adjusts itself to the resistance encountered (<xref ref-type="bibr" rid="B28">Shinde and Lekurwale, 2019</xref>). Some researchers have employed external media to achieve precise linear movement (<xref ref-type="bibr" rid="B2">Bhole and Janbandhu, 2018</xref>; <xref ref-type="bibr" rid="B4">Bhole et al., 2019</xref>). This mechanism effectively reduces the force exerted on the micro drill, thereby preventing permanent damage (<xref ref-type="bibr" rid="B12">Gandhi et al., 2013</xref>; <xref ref-type="bibr" rid="B11">Gandhi and Bhole, 2013</xref>) or fracture (<xref ref-type="bibr" rid="B29">Shinde and Lekurwale, 2022</xref>; <xref ref-type="bibr" rid="B26">Shinde and Lekurwale, 2021</xref>; <xref ref-type="bibr" rid="B31">Shinde et al., 2023</xref>). Before this concept, Bhole and Janbandu designed single-pole machines capable of thrilling in acrylic (<xref ref-type="bibr" rid="B3">Bhole and Sonavane, 2018</xref>). When this machine was tested for metal drilling, the Z-axis deflection was too high, rendering drilling impossible. Further in the paper, a double-column frame construction was erected for greater strength, with a reduced flexural diameter and a greater number of discs in the assembly.</p>
</sec>
<sec sec-type="methods" id="s2">
<label>2</label>
<title>Methodology</title>
<p>For the development of machine tools done on PLM. The detailed procedure of PLM is as follows. The first step involves detailed geometric modeling of individual parts and assemblies, ensuring proper constraints are applied. Essential information required alongside the design includes the table work surface area, the travel distances of each axis, the work envelope, the total usable distance from the bottom of the spindle chuck to the tabletop, the vertical distance between the bottom surface of the main housing and the chuck, and tool storage capacity. All this information is stored in a single folder to facilitate linking to the respective post-processor and controller files. The main folder, named after the machine tool, contains three subfolders: a graphics folder with all designed 3D models and the assembly file; a CSE folder with supporting files, including the machine home position and tool change programs; and a postprocessor folder that stores all supporting files for the post-processor. The second step involves using a PLM system to identify the CAD model. It includes assigning junctions and separating workpiece holding from tool holding. All information is recorded in the SIEMENS NX software. The third step involves post-processor assessment of the machine tool. The PLM software allows for modification of the post-processor, and a standard in-built post-processor can be selected as needed. All integrated data from various post-processors is stored in the machine database file. The complexity of the piece decides the ideal machine tool for machining. 5-axis machine tools can machine all complex workpieces. It has the minimum axes to machine all sides of a workpiece. The kinematic chain representation depends on the machine&#x2019;s structure. The configuration of a five-axis machine can be &#x201c;table-table, head-head, or head-table (<xref ref-type="bibr" rid="B17">Lin and Koren, 2000</xref>; <xref ref-type="bibr" rid="B6">Cao and Li, 2022</xref>) The standard configuration of a 5-axis configuration includes three translational axis, i.e.,&#x2019; X, Y, and Z-axis and two rotary axis, i.e., A and C, placed on the bed (<xref ref-type="bibr" rid="B15">Lee and Lin, 2010</xref>; <xref ref-type="bibr" rid="B13">Kadir et al., 2011</xref>), as shown in <xref ref-type="fig" rid="F2">Figure 2a</xref> (in some cases, it may be the B and C axes) (<xref ref-type="bibr" rid="B36">Yuksel et al., 2020</xref>; <xref ref-type="bibr" rid="B35">Wang et al., 2023</xref>). The placement of the fourth and fifth axes depends on their integration with the standard axes, where the X-axis, Y-axis, and Z-axis are the parent axes, and A, B, or C are the child axes. <xref ref-type="fig" rid="F2">Figure 2b</xref> represents the &#x201c;table-table&#x201d; Configuration, head-table, or head-head.&#x201d; (<xref ref-type="bibr" rid="B8">Choi et al., 2015</xref>; <xref ref-type="bibr" rid="B34">Wang et al., 2022</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(a)</bold> Various five-axis machine tool configurations. <bold>(b)</bold> Hierarchical components of the five-axis kinematic chain in a table-table configuration.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g002.tif">
<alt-text content-type="machine-generated">Illustration comparing CNC machine configurations and an architecture diagram. The top section shows table-table, head-head, and head-table designs, each with labeled X, Y, Z axes, and rotary axes A, B, or C. The bottom section diagram outlines a machine base with a sequence: Y slide, X slide, Z slide, followed by A table (pendulum), C table (rotary), spindle, drilling tool, and workpiece, indicating a progression of operations.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F2">Figure 2b</xref> illustrates the five-axis kinematic chain component hierarchy of a table-table configuration (<xref ref-type="bibr" rid="B5">Bohez, 2002</xref>). The &#x201c;kinematic chain&#x201d; is a geometric representation of the assembly components that depicts the parent-child relationships. The body frame serves as the parent for the remaining assembly components, providing the machine&#x2019;s zero-coordinate reference system. Similarly, the cutting tool, its fixture, and the workpiece also form part of the kinematic chain. Therefore, the components of the machine tool are classified according to the parent-child relationships defined during the machine-building process. A kinematic chain is specifically applied to the machine tool assembly model (<xref ref-type="bibr" rid="B33">Wang and Yu, 2006</xref>). The parent-child relationship is maintained between the assembly members. The frame of the machine tool becomes the parent of all. The X-slide movement is done on the frame, making it the frame&#x2019;s child. Refer to <xref ref-type="fig" rid="F3">Figure 3</xref>, which shows the same. In this manner, the kinematic chain is established. Further, upon successfully assigning the kinematic chain, a green check mark appears (see <xref ref-type="fig" rid="F9">Figure 9</xref>, which shows the fully defined assembly model in the PLM environment). <xref ref-type="fig" rid="F9">Figure 9</xref> shows the NC axis number defined in <xref ref-type="fig" rid="F4">Figure 4</xref>, along with the parent-child relationship.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Axis orientations of the three-axis flexural spindle head micro drilling machine.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g003.tif">
<alt-text content-type="machine-generated">3D model of a mechanical apparatus with a focus on a component in a circular inset. The apparatus consists of structural frames, rods, and a motor. The inset highlights internal mechanical parts, including coils and screws. An XYZ axis diagram is shown in the corner.</alt-text>
</graphic>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Assembly component of flexural head.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g004.tif">
<alt-text content-type="machine-generated">Close-up of a metal mechanical component featuring a circular base with multiple protruding pins arranged in concentric circles around a central hole, likely part of a larger machine or apparatus.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> exhibits the geometric model of the micro drilling machine tool, while <xref ref-type="fig" rid="F4">Figure 4</xref> displays the manufactured spindle head for the micro drilling machine tool. These figures show that two essential components are the work-holding components (the table) and the tool-holding components. The machine tool is divided into tool-holding and work-piece-holding components. The parent-child hierarchy aids in constructing the virtual machine tool. <xref ref-type="fig" rid="F5">Figure 5</xref> illustrates the basic kinematic chain of the three-axis flexural spindle micro-drilling machine tool. The PLM platform in SIEMENS NX software (<xref ref-type="bibr" rid="B32">Siemens Product Lifecycle Management So ftware, 2013</xref>) facilitates the construction of a virtual machine tool based on the defined kinematic chain (Shinde and Lekurwale).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Three-axis flexural spindle head showing kinematic chain component hierarchies.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g005.tif">
<alt-text content-type="machine-generated">Flowchart showcasing the structure of a machine. It starts with &#x22;Machine Base&#x22; leading to &#x22;X slide&#x22; and &#x22;Y slide,&#x22; progressing to &#x22;Z slide&#x22; and then &#x22;Spindle,&#x22; ending with &#x22;Drilling Tool.&#x22; &#x22;Work Piece&#x22; connects to &#x22;Y slide.&#x22;</alt-text>
</graphic>
</fig>
<p>After constructing the kinematic chain, the next step is to assign the junction coordinate system for the designed machine tool. This step establishes and develops parent-child relationships among the various components of the machine tool assembly. The junction coordinate system, along with the axis vector, stores the direction, operating limits (travel), type of motion (linear or rotary), and the nature of the motion (e.g., whether the axis is NC or not) when the information is supplied to the PLM platform. Establishing junctions, similar to constructing the kinematic chain, is crucial. Without junctions, each part would be isolated, with no relationships to other parts. For example, the Y-axis is assembled on the body structure parallel to the base, while the X-axis is assembled on vertical poles clamped to the base body structure. The X and Y-axes are independent and are considered children of the base body, which acts as the machine&#x2019;s parent junction. The machine&#x2019;s imaginary zero is a coordinate system floating within the operating limits of all axes. In this design, the machine zero is perfectly aligned with the spindle axis at its uppermost limit. The Z max limit falls within the bounds of both the X and Y-axes.</p>
<p>Each component assembled in the machine tool has a unique junction coordinate system inherited from the machine&#x2019;s zero junction. This inheritance enforces the parent-child relationship within the kinematic chain. The specified junctions are &#x201c;setup junction and tool mount junction.&#x201d; A setup junction identifies a specific workpiece or fixture point for clamping purposes. Similarly, the tool mount junction specifies the tool&#x2019;s mounting position, typically defined by the spindle&#x2019;s concentric surface. Additionally, if there is a rotary component in the system, it will be specified by a junction created on the rotational axis of the element. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the machine&#x2019;s zero junction, while <xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref> illustrate the setup and tool mount junctions, respectively.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Machine zero junction at maximum Z limit, showing the upward direction.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g006.tif">
<alt-text content-type="machine-generated">Computer-aided design (CAD) of a mechanical assembly featuring a large turquoise block with a cylindrical component on top, adjacent to a structure with visible screws and two brown cylindrical rods. A red inset highlights the bottom view, showing additional internal details. Axis indicators are present in both views.</alt-text>
</graphic>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Setup junction placed on the table surface and matching the orientation of the machine zero.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g007.tif">
<alt-text content-type="machine-generated">Diagram of a mechanical setup with a flat table surface supported by brown cylindrical rods and clamps. A red arrow points to the &#x22;Setup Junction on the Table Surface,&#x22; highlighted at the center with a coordinate axis labeled X, Y, and Z.</alt-text>
</graphic>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Representation of the tool mount junction (vertically upwards) placed on the spindle&#x2019;s axis.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g008.tif">
<alt-text content-type="machine-generated">Computer-aided design (CAD) illustration of a CNC machine&#x27;s drilling assembly showing coordinate axes. A drill bit is attached beneath a blue motor housing. Colored axes Xc, Yc, and Zc are marked in blue, green, and red, respectively. An inset highlights the drill bit and coordinate lines from below.</alt-text>
</graphic>
</fig>
<p>The movement of the tool about the clamped workpiece defines the machine axis. In the designed machine tool, the Z-axis moves in the positive direction, while the Y-axis slide moves in the negative direction. When a rotary table is used, the direction of rotation follows the right-hand rule. For example, the machine table will rotate counterclockwise if the spindle rotates about a positive axis (X, Y, or Z). The asymmetric layout of the machine&#x2019;s axis drives allows effective utilization on either side of the machine, with zero, which is located at the table&#x2019;s center and aligned with the spindle axis. The vertical distance between the lowest position of the Z slide and the workpiece surface on the table is 45&#xa0;mm, while the distance at the topmost position of the Z slide is 125&#xa0;mm. Thus, the Z-axis travel is 80&#xa0;mm. <xref ref-type="fig" rid="F9">Figure 9</xref> illustrates the positive directions of the X and Y-axes in red and green, respectively, with the positive Z-axis represented vertically upwards (<xref ref-type="bibr" rid="B32">Siemens Product Lifecycle Management So ftware, 2013</xref>). The PLM platform provides additional information, including classification, junction, axis name, initial value, NC axis, and axis limits, as depicted in <xref ref-type="fig" rid="F10">Figure 10</xref>. The setup element shown in <xref ref-type="fig" rid="F10">Figure 10</xref> is the default template; as we have not used it, it does not apply to the manuscript. Setup elements are used when complex jobs with specialized fixtures are required, as they are not applicable in research studies.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>X and Y-axis representation for positive motion (X - red arrow: positive Y green arrow).</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g009.tif">
<alt-text content-type="machine-generated">Illustration of a CNC machine model showing a mechanical frame with X, Y, and Z axes marked by red, green, and blue arrows, respectively. The structure includes a motor and linear guides, with an orange component highlighting the tool head.</alt-text>
</graphic>
</fig>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Virtual environment representation of the machine tool.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g010.tif">
<alt-text content-type="machine-generated">Machine Tool Navigator interface displaying a hierarchical list of machine components and associated attributes. Columns include Name, Classification, Junctions, Axis Name, Axis Number, Initial Value, NC Axis, Axis Type, and Axis Limits. Values show specific machine structures and configurations, such as MACHINE_BASE, Y_SLIDE with axis Y, and linear axis types with limits.</alt-text>
</graphic>
</fig>
<p>The function of the &#x201c;post-processor&#x201d; applied to software-driven tool paths is to convert the NCL file into G and M codes, which are purely numerical values. The virtual controller interprets these NC codes in the PLM platform and generates equivalent signals supplied to various machine tool components. To function efficiently in the virtual mode, the virtual machine tool (VMC) extracts all relevant information, such as axis names, axis operating limits, part mounting locations, tool mounting locations, and tool mounting orientations (<xref ref-type="bibr" rid="B16">Lin, 2013</xref>). The post-builder simulates machine operations in the virtual environment. The SIEMENS NX post-processor builder requires information from the GUI interface. This data includes operating units, home position, machine travel limits, resolution of each step, number of axes, traverse feed rate, and motion resolution. The virtual controller needs a starting point to execute tool motions, which are generally based on the machine&#x2019;s zero reference point. Typically, the G28 command sets this reference point, moving all slides to the set reference position, which is generally maintained at the maximum Z-axis travel height. In SIEMENS Nx12, the m/c reference position can be set using the.inc. file, an initialization file starting with block N1240. <xref ref-type="fig" rid="F11">Figure 11</xref> shows the last three digits in every line, indicating the predefined X, Y, and Z limits. In the designed machine tool, there is no provision for an extra tool mount; the tool in the spindle is the only one programmed for use. The tool program (.prg file) executes the tool change concerning the initial reference point.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Machine home position for FANUC controller.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g011.tif">
<alt-text content-type="machine-generated">Text from a programming script for a coordinate system. It mentions configuring a rotating table system for specific parameters, and includes code for setting and implementing reference points.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3">
<label>3</label>
<title>Validation of the proposed model</title>
<p>The virtual machine tool requires specific information about the workpiece placement and clamping fixtures. It also needs machining strategies based on material strength. To effectively utilize the setup, a systematic procedure is employed. In the CAM environment, the modeled workpiece and clamping fixtures are assembled and then transferred to the virtual machine tool (<xref ref-type="fig" rid="F12">Figure 12a</xref>). The setup requires systematically selecting the coordinate system and metal-cutting strategies, along with appropriate tooling. The tooling requires appropriate operating speed and feed rates based on the cutter&#x2019;s out-stick and diameter. The workpiece is clamped on the fixture, which was designed earlier. Local programming is performed around the job surface. After preparing the programs, the software allows the retrieval of the machine designed earlier in the CAM module. When the machine is called, the setup junction associated with the workpiece and fixture is matched with the assembly at the table surface. Collisions can be checked during programming or during simulation of the workpiece, as shown in <xref ref-type="fig" rid="F12">Figure 12b</xref>. The final segment involves simulating the workpiece in real-time. The simulation process&#x2019;s strength lies in its ability to model interactions among machine components, the workpiece, and the fixture. This means the predefined parent-child relationship in the software will run the summation process on the screen and display real-time updates. All the designed work envelopes (outer sizes of the assembly components will be used in simulations and calculations. The software detects collisions between the workpiece and m/c components, or between the workpiece and the tool, and indicates any collision limits. Additionally, the software detects any axis overtravel beyond specified limits. <xref ref-type="fig" rid="F13">Figure 13</xref> shows the actual setup before the machining of the pocket.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>
<bold>(a)</bold> Milling Setup in a virtual environment <bold>(b)</bold> Tool-path programming in a virtual environment.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g012.tif">
<alt-text content-type="machine-generated">Diagram showing a CNC milling setup and detailed tool path movements. Panel (a) illustrates the complete CNC machine assembly with axes directions. Panel (b) highlights the cutting process, labeling aerial, rapid, tool path, and plunge moves, with a cutting tool in action.</alt-text>
</graphic>
</fig>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Workpiece on the designed machine tool.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g013.tif">
<alt-text content-type="machine-generated">A close-up view of a laboratory machine with metal components and wiring, including a flat metal surface and two cylindrical rods. In the background, various wires and a pink plastic basket with tools are visible.</alt-text>
</graphic>
</fig>
<p>The machine tool is validated by machining a square and circular pocket on the workpiece. The job was directly clamped to the table surface while machining was performed within the material. The first trial was conducted on Delrin material due to its softness, using a one mm-diameter tool. After completing the simulation without errors, the program was transferred to the machine tool for actual cutting. A detailed examination confirmed that all slide moves, including the rapid feed moves, were as desired. <xref ref-type="fig" rid="F14">Figure 14</xref> shows the cutting process in progress. Similarly, <xref ref-type="fig" rid="F15">Figure 15</xref> shows the drilling programs created in the virtual environment and the final drilled work specimen. This test was performed on a brass specimen. The drilling speed is 12,000&#xa0;rpm at 1&#xa0;mm/min in a peck drilling cycle with kerosene coolant.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Validation of programs driven by a virtual environment (milling).</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g014.tif">
<alt-text content-type="machine-generated">A close-up of a drill in a machine creating a hole in a white material. Fine shavings are scattered around the drill bit and surrounding surface. A bolt is visible nearby.</alt-text>
</graphic>
</fig>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Validation of programs driven by a virtual environment (drilling).</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g015.tif">
<alt-text content-type="machine-generated">Virtual simulations and actual drilling images side by side, showcasing deep hole drilling on brass. Three sections illustrate different drill sizes: 0.5 mm, 0.8 mm, and 1.0 mm, highlighting tool paths and drilled holes.</alt-text>
</graphic>
</fig>
<p>Virtual simulations help understand the actual motion of the tool slides that carry the spindle head. The actual tool path generated is loaded into the simulator using a numerical cutter location file. The simulator reads the coordinate cutter movement points. The movement of the slides is shown on the screen with a fixed base. All the slides work in tandem, and the cumulative moment is displayed on the screen. This is the advantage of the used method. Further, the micro-drilled holes in the brass specimens by the flexural spindle head were compared with those drilled by a regular CNC machine. <xref ref-type="fig" rid="F16">Figure 16</xref> shows the images of holes drilled by the CNC machine under the Rapid I machine tool. Each drill creates two holes in CNC drilling, with the designed spindle head. B1_1 and B1_2 are the two holes drilled on the 5&#xa0;mm thickness step by CNC drilling. Further, B2_1 and B2_2 are drilled with a 0.8&#xa0;mm drill on a 5&#xa0;mm step, and similarly, B3_1 and B3_2 are drilled with a 0.5&#xa0;mm drill on a 5&#xa0;mm step. Further, the same process was carried out for 15_1 and 15_2 with a 1&#xa0;mm thickness step. The brass specimen shown in <xref ref-type="fig" rid="F15">Figure 15</xref> features steps from 1&#xa0;mm to 5&#xa0;mm thick. Drills of <italic>&#xd8;</italic>0.5&#xa0;mm, <italic>&#xd8;</italic>0.8&#xa0;mm, and <italic>&#xd8;</italic>1&#xa0;mm were used for drilling operations. Holes numbered 1 to 15 were made using CNC drilling, while holes numbered 16 to 30 were drilled by the designed spindle head. Refer <xref ref-type="fig" rid="F17">Figure 17</xref>. Every step has two holes drilled adjacent to each other. The diameter enlargement and the circularity of the holes drilled were analyzed under the CAD environment of the Rapid machine tool. <xref ref-type="fig" rid="F18">Figure 18</xref> shows the actual difference between the desired and drilled values for diameter enlargement and circularity at positions 1 and 2.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Rapid-I images of holes drilled by CNC machine in brass specimens.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g016.tif">
<alt-text content-type="machine-generated">Microscopic images in a grid displaying different holes in textured surfaces. Each image features labels indicating magnification (@67x), hole diameter (e.g., &#xD8;1MM, &#xD8;0.5MM, &#xD8;0.8MM), and thickness (e.g., 5MM THK). Individual images are numbered sequentially (e.g., B1_1, B1_2). The surface texture and hole appearances vary in each panel.</alt-text>
</graphic>
</fig>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>Rapid-I images of holes drilled by flexural spindle in brass specimens.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g017.tif">
<alt-text content-type="machine-generated">A grid of twenty images showing circular indentations on a textured surface, each with labels such as diameter in millimeters (e.g., &#xD8;1MM, &#xD8;0.5MM) and magnification (@67x). Each image highlights a different combination of diameter and thickness, with labels indicating variations such as B16_1, B16_2, etc. The textures and sizes of indentations vary across the grid of images.</alt-text>
</graphic>
</fig>
<fig id="F18" position="float">
<label>FIGURE 18</label>
<caption>
<p>Assessment hole drilled by CNC and designed spindle head.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g018.tif">
<alt-text content-type="machine-generated">Two bar graphs compare hole characteristics on brass specimens drilled by CNC machine and flexural spindle. The x-axis shows hole numbers with varying diameters. The y-axis represents variation in diameter enlargement and circularity measured in millimeters. Both graphs include a legend for diameter enlargement and circularity for two holes, and average circularity, indicated by different colors. Maximum values are marked with arrows. The top graph shows data for B2 to B14, the bottom for B16 to B30.</alt-text>
</graphic>
</fig>
<p>Furthermore, for the Flexural spindle head, drilled holes in the brass (specimen), the maximum diameter enlargement was 0.0448&#xa0;mm (44.8&#xa0;&#x3bc;m) at position &#x201c;B28_1&#x201d;. The &#x201c;maximum average circularity&#x201d; achieved was 26.4&#xa0;&#x3bc;m&#xa0;at positions B25_1 and two others. Similarly, for the holes drilled by CNC, the maximum diameter enlargement was 104.3&#xa0;&#x3bc;m&#xa0;at position &#x201c;B14_1,&#x201d; and the maximum average circularity was 28.6&#xa0;&#x3bc;m&#xa0;at positions &#x201c;B8_1 and 2&#x201d;. The differences in diameter enlargement and maximum average circularity between the two methods were 59.5&#xa0;&#x3bc;m and 2.2&#xa0;&#x3bc;m, respectively.</p>
</sec>
<sec sec-type="results|discussion" id="s4">
<label>4</label>
<title>Results and discussion</title>
<p>The integration of CAD and CAM can be easily handled by uploading the required CAD or assembly files in the user login. The main objective of the PLM environment is to maintain the track of the entire department under one roof&#x2014;the live positions of the manufacturing as a whole. Items are seen in real-time. The advantage of PLM is that changes in design may or may not be incorporated, and the current status can also be tracked, enabling us to determine whether the change is feasible. Furthermore, if the design department releases the R1 version for manufacturing, it is floated in the system for manufacturing. All supporting activities are also triggered, and necessary action is taken. Now, if the CAD department issues any R2 version for some reason. The system automatically displays a pop-up to all shareholders connected to the system. The model is compared because users have the same file and the same platform. Generally, the programmer generates the program using the CAD model. After the program is generated, the developed programs are checked for collisions or gouges with the machine tool or the workpiece. If any programs are found to have crashed, they are modified and regenerated. Hence, collision and gouge checks are built into the CAM module. There is no separate error-checking mechanism for the virtual controller. The results indicate that a virtual machine can be successfully implemented in NX 12&#xa0;s machine tool builder module and in other parallel PLM platforms. The virtual environment produces results identical to those obtained with commercial methods, with significant savings in time and money. This demonstrates that it is possible to generate accurate results without a machine tool, provided a PLM platform is available.</p>
<p>Furthermore, results from one PLM platform can be viewed and executed in reality, enhancing the PLM environment&#x2019;s utility in commercial and industrial scenarios. The integration of CAD and CAM is shown in <xref ref-type="fig" rid="F19">Figure 19</xref>. The virtual setup can easily detect axes&#x2019; overtravel, which would be challenging if the job were done conventionally on the machine. In a physical setup, overtravel triggers alarms and results in lost production time due to job reference shifts from slide collisions. This issue is easily detected and rectified in a virtual environment, allowing for adjustments to the tool path to prevent collisions.</p>
<fig id="F19" position="float">
<label>FIGURE 19</label>
<caption>
<p>Integration of CAD and CAM in the PLM environment.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g019.tif">
<alt-text content-type="machine-generated">Diagram showing the integration of ERP, PLM, and MES systems. The PLM section includes Material Master, System Engineering, Requirement Engineering, and more, linked to BOM-Management and Digital Manufacturing Planning. MES covers production scheduling and tracking. Arrows depict data flow between sections, indicating interconnected processes from strategic product planning to execution.</alt-text>
</graphic>
</fig>
<p>Additionally, depending on the job&#x2019;s complexity, the exact fixture design can be finalized by simulating intricate simultaneous movements of the tool axes. This helps determine the minimum fixture thickness required for the tool axis to move collision-free. The minimum L/D ratio (tool out-stick/diameter) for optimal cutting characteristics and finish can also be defined. The exact remaining stock on the job can be identified by extracting the final stock model left on the workpiece. (<xref ref-type="bibr" rid="B24">Puig et al., 2003</xref>). Finally, the general procedure for designing a machine tool with any number of axes can be summarized using the flowcharts shown in <xref ref-type="fig" rid="F20">Figures 20</xref>, <xref ref-type="fig" rid="F21">21</xref>. These figures illustrate the creation of the kinematic model in SIEMENS NX 12 and the creation of a machine tool entry in the NX native library, respectively. Further, if any researcher wants to explore more machines with AI, they can do so; this part is not covered in the manuscript (<xref ref-type="bibr" rid="B21">Pany and Rao, 2004</xref>; <xref ref-type="bibr" rid="B19">Pany, 2023</xref>; <xref ref-type="bibr" rid="B22">Pany et al., 2025</xref>; <xref ref-type="bibr" rid="B20">Pany and Rao, 2002</xref>). The designed flexural mechanism opens an avenue for machine tool factories, specifically for linear movement feeding, if required. According to the results, the mechanisms can provide a cushioning effect to the drill, thereby preventing permanent rupture. Drilling quality remains the same, but the flexural mechanism absorbs the overload at the drill&#x2019;s weakest cross-section.</p>
<fig id="F20" position="float">
<label>FIGURE 20</label>
<caption>
<p>Flow chart representing kinematic modeling in Siemens&#x2019; software.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g020.tif">
<alt-text content-type="machine-generated">Flowchart depicting steps to set up a machine tool. It starts with assembling model files and creating a new file in the Machine Tool Builder Module. The process includes selecting the machine base, defining axes, and redefining the zero coordinate system if needed. Further steps involve specifying tool movement, defining setup elements like blanks and fixtures, and checking junctions and machine limits. It concludes with an &#x22;End&#x22; box.</alt-text>
</graphic>
</fig>
<fig id="F21" position="float">
<label>FIGURE 21</label>
<caption>
<p>Flow chart showing the machine tool in NX&#x2019;s library.</p>
</caption>
<graphic xlink:href="fmech-11-1609543-g021.tif">
<alt-text content-type="machine-generated">Flowchart detailing the steps to create and set up folders for machine tools in Siemens NX12. It starts with creating a root directory and subfolders, copying files, setting post processors, renaming files, defining machine axes, linking the database, and ends with creating a machine tool entry in the NX native library.</alt-text>
</graphic>
</fig>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>The research paper successfully develops a virtual NC machine tool within a PLM environment. The results of the virtual machine tool in the PLM platform indicate that this procedure can be applied to any machine, whether designed for general-purpose or specialized purposes. This successful implementation was achieved using SIEMENS NX 12 software. This interactive system generates results for both the user and the virtual environment. Designing an m/c tool in the machine tool builder module of SIEMENS NX software creates a virtual environment that simulates a realistic manufacturing setup. The PLM platform identifies collision and gouge check detection, ensuring accuracy. The PLM platform allows the geometric model of the machine tool to which the kinematic chain is attached to be built. Attaching kinematic chains to all assembly components establishes a parent-child relationship among them. This hierarchical relationship, developed in the PLM platform, helps identify dependencies. As the number of axes increases, the system&#x2019;s complexity also increases. The next step is to assign junctions to all machine tool components. The last segment involves creating the virtual controller and the post-processor. The NCL file generated by the software is converted to &#x201c;G and M&#x201d; codes that the machine tool can easily accept. Every machine understands this file only. Irrespective of the machine, the controller decodes the movements into G-code and M-code. This code can be run on a machine with similar movements.</p>
<p>Furthermore, for the Flexural spindle head, drilled holes in the brass (specimen), the maximum diameter enlargement was 0.0448&#xa0;mm (44.8&#xa0;&#x3bc;m) at position &#x201c;B28_1&#x201d;. The &#x201c;maximum average circularity&#x201d; achieved was 26.4&#xa0;&#x3bc;m&#xa0;at positions B25_1 and two others. Similarly, for the holes drilled by CNC, the maximum diameter enlargement was 104.3&#xa0;&#x3bc;m&#xa0;at position &#x201c;B14_1,&#x201d; and the maximum average circularity was 28.6&#xa0;&#x3bc;m&#xa0;at positions &#x201c;B8_1 and 2&#x201d;. The differences in diameter enlargement and maximum average circularity between the two methods were 59.5&#xa0;&#x3bc;m and 2.2&#xa0;&#x3bc;m, respectively. The initial cost of developing the flexural mechanism is very high. Further, the manufacturing process for building the assembly is also very high. Only specific linear motion and microdisplacement are provided by the flexural mechanisms. The mechanism does not provide a high displacement of more than 3&#xa0;mm.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s20">Supplementary Material</xref>, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>SSa: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. SMS: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. SSo: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. MD: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. KB: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. RC: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. EN: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s20">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fmech.2025.1609543/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fmech.2025.1609543/full#supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/114303/overview">Abdelmageed A. Elmustafa</ext-link>, Old Dominion University, United States</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1527974/overview">Chitaranjan Pany</ext-link>, Vikram Sarabhai Space Centre, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3182450/overview">Harry Bikas</ext-link>, University of Patras, Greece</p>
</fn>
</fn-group>
<ref-list>
<title>References</title>
<ref id="B1">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Altintas</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Brecher</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Week</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Witt</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Virtual machine tool</article-title>. <volume>54</volume> (<issue>2</issue>). <fpage>115</fpage>&#x2013;<lpage>138</lpage>. <pub-id pub-id-type="doi">10.1016/s0007-8506(07)60022-5</pub-id>
</mixed-citation>
</ref>
<ref id="B2">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Bhole</surname>
<given-names>K. S.</given-names>
</name>
<name>
<surname>Janbandhu</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2018</year>). &#x201c;<article-title>Design and development of double spiral shaped flexural feed stage for micro-drilling workstation</article-title>,&#x201d; in <source>International conference on advances in materials and manufacturing applications [IConAMMA 2017]</source> (<publisher-name>Elsevier Ltd</publisher-name>), <fpage>25468</fpage>&#x2013;<lpage>25476</lpage>.</mixed-citation>
</ref>
<ref id="B3">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Sonavane</surname>
<given-names>V.</given-names>
</name>
</person-group> (<year>2018</year>). &#x201c;<article-title>Parameter based method for three arm spiral shaped flexural bearing</article-title>,&#x201d; in <source>Materials today: proceedings</source> (<publisher-name>Elsevier Ltd</publisher-name>), <fpage>19380</fpage>&#x2013;<lpage>19390</lpage>.</mixed-citation>
</ref>
<ref id="B4">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Mastud</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2019</year>). &#x201c;<article-title>Generalized design methodology for three-arm spiral cut compliant linear stage</article-title>,&#x201d; in <source>Operation management and systems engineering</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Sachdeva</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Kumar</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Yadav</surname>
<given-names>O. P.</given-names>
</name>
<name>
<surname>Garg</surname>
<given-names>R. K.</given-names>
</name>
<name>
<surname>Gupta</surname>
<given-names>A.</given-names>
</name>
</person-group> (<publisher-name>Springer Nature Singapore Pte Ltd</publisher-name>), <fpage>127</fpage>&#x2013;<lpage>144</lpage>. <pub-id pub-id-type="doi">10.1007/978-981-15-6017-0_8</pub-id>
</mixed-citation>
</ref>
<ref id="B5">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bohez</surname>
<given-names>E. L. J.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Five-axis milling machine tool kinematic chain design and analysis</article-title>. <source>Int. J. Mach. Tools Manuf.</source> <volume>42</volume> (<issue>4</issue>), <fpage>505</fpage>&#x2013;<lpage>520</lpage>. <pub-id pub-id-type="doi">10.1016/S0890-6955(01)00134-1</pub-id>
</mixed-citation>
</ref>
<ref id="B6">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Cao</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2022</year>). &#x201c;<article-title>Design of micro five axis machien tool and research on virtsual simulation machining</article-title>,&#x201d; in <source>3rd international conference on mechanical engineering and materials</source>. <publisher-name>Bristol, England, United Kingdom: IOP Publishing Ltd</publisher-name>., <fpage>1</fpage>&#x2013;<lpage>14</lpage>. <pub-id pub-id-type="doi">10.1088/1742-6596/2437/1/012071</pub-id>
</mixed-citation>
</ref>
<ref id="B7">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chan</surname>
<given-names>D. S. K.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>Simulation modelling in virtual manufacturing analysis for integrated product and process design</article-title>. <source>Assem. Autom.</source> <volume>23</volume> (<issue>1</issue>), <fpage>69</fpage>&#x2013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1108/01445150310460114</pub-id>
</mixed-citation>
</ref>
<ref id="B8">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Choi</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Jung</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Do Noh</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2015</year>). <article-title>Virtual reality applications in manufacturing industries: past research, present findings, and future directions</article-title>. <source>Concurr. Eng. Res. Appl.</source> <volume>23</volume> (<issue>1</issue>), <fpage>40</fpage>&#x2013;<lpage>63</lpage>. <pub-id pub-id-type="doi">10.1177/1063293X14568814</pub-id>
</mixed-citation>
</ref>
<ref id="B9">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ercetin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Der</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Akkoyun</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Gowdru Chandrashekarappa</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>&#x15e;ener</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>&#xc7;al&#x131;&#x15f;an</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Review of image processing methods for surface and tool condition assessments in machining</article-title>. <source>J. Manuf. Mater. Process.</source> <volume>8</volume> (<issue>6</issue>), <fpage>244</fpage>. <pub-id pub-id-type="doi">10.3390/jmmp8060244</pub-id>
</mixed-citation>
</ref>
<ref id="B10">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Fischer</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Coutellier</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2006</year>). &#x201c;<article-title>The interaction: a newway of designing</article-title>,&#x201d; in <source>Research in interactive design</source>. Editors <person-group person-group-type="editor">
<name>
<surname>Fischer</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Coutellier</surname>
<given-names>D.</given-names>
</name>
</person-group> <edition>1st ed.</edition> (<publisher-loc>France</publisher-loc>: <publisher-name>Springer</publisher-name>), <fpage>1</fpage>&#x2013;<lpage>15</lpage>.</mixed-citation>
</ref>
<ref id="B11">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gandhi</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Characterization of &#x2018;Bulk Lithography&#x2019; process for fabrication of three-dimensional microstructures</article-title>. <source>J. Micro Nano-Manufacturing</source>. <volume>1</volume> (<issue>4</issue>), <fpage>1</fpage>&#x2013;<lpage>8</lpage>. <pub-id pub-id-type="doi">10.1115/1.4025461</pub-id>
</mixed-citation>
</ref>
<ref id="B12">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gandhi</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Deshmukh</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Ramtekkar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Baraki</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>On-axis&#x2019; linear focused spot scanning microstereolithography system: optomechatronic design, analysis and development</article-title>. <source>J. Adv. Manuf. Syst.</source> <volume>12</volume> (<issue>1</issue>), <fpage>43</fpage>&#x2013;<lpage>68</lpage>. <pub-id pub-id-type="doi">10.1142/S0219686713500030</pub-id>
</mixed-citation>
</ref>
<ref id="B13">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kadir</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Hammerle</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2011</year>). <article-title>Virtual machine tools and virtual machining- A technological review</article-title>. <source>Robot. Comput. Intergrated Manuf.</source> <volume>27</volume>, <fpage>494</fpage>&#x2013;<lpage>508</lpage>. <pub-id pub-id-type="doi">10.1016/j.rcim.2010.10.003</pub-id>
</mixed-citation>
</ref>
<ref id="B14">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Lagarrigue</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Ramtekkar</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2006</year>). <source>Virtual reality for NC machining improvement</source>. <edition>1st ed.</edition> <volume>2</volume>. <publisher-loc>France</publisher-loc>: <publisher-name>Springer-Verlag</publisher-name>. <pub-id pub-id-type="doi">10.1007/978-2-287-48370-7</pub-id>
</mixed-citation>
</ref>
<ref id="B15">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lee</surname>
<given-names>R. S.</given-names>
</name>
<name>
<surname>Lin</surname>
<given-names>Y. H.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Development of universal environment for constructing 5-axis virtual machine tool based on modified D-H notation and OpenGL</article-title>. <source>Robot. Comput. Integr. Manuf.</source> <volume>26</volume> (<issue>3</issue>), <fpage>253</fpage>&#x2013;<lpage>262</lpage>. <pub-id pub-id-type="doi">10.1016/j.rcim.2009.11.001</pub-id>
</mixed-citation>
</ref>
<ref id="B16">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>System and method for constructing virtual NC controllers for machine tool simulation</article-title>.</mixed-citation>
</ref>
<ref id="B17">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>R.-S.</given-names>
</name>
<name>
<surname>Koren</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>Ruled surface machining on five-axis CNC machin tools</article-title>. <source>J. Manuf. Process.</source> <volume>2</volume> (<issue>1</issue>). <pub-id pub-id-type="doi">10.1016/S1526-6125(00)70010-7</pub-id>
</mixed-citation>
</ref>
<ref id="B18">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Lisboa Borsatti</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Ramos De Oliveira Santos Arthur</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Miyashiro Rafael</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Sugawara Juliana</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Miyagi Eigi</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Junqueira</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2014</year>). &#x201c;<article-title>3D virtual environments for manufacturing automation</article-title>,&#x201d; in <source>ABCM symposium series in mechatronics</source>, <fpage>559</fpage>&#x2013;<lpage>567</lpage>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.revistapetrobras.com.br/revistapetrobras/files/pdfs/MateriadeCapa.pdf">www.revistapetrobras.com.br/revistapetrobras/files/pdfs/MateriadeCapa.pdf</ext-link>.</comment>
</mixed-citation>
</ref>
<ref id="B19">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pany</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Large amplitude free vibrations analysis of prismatic and non-prismatic different tapered cantilever beams</article-title>. <source>Pamukkale Univ. J. Eng. Sci.</source> <volume>29</volume> (<issue>4</issue>), <fpage>370</fpage>&#x2013;<lpage>376</lpage>. <pub-id pub-id-type="doi">10.5505/pajes.2022.02489</pub-id>
</mixed-citation>
</ref>
<ref id="B20">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pany</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rao</surname>
<given-names>G. V.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>Calculation of non-linear fundamental frequency of a cantilever beam using non-linear stiffness</article-title>. <source>J. Sound. Vib.</source> <volume>256</volume> (<issue>4</issue>), <fpage>787</fpage>&#x2013;<lpage>790</lpage>. <pub-id pub-id-type="doi">10.1006/jsvi.2001.4224</pub-id>
</mixed-citation>
</ref>
<ref id="B21">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pany</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Rao</surname>
<given-names>G. V.</given-names>
</name>
</person-group> (<year>2004</year>). <article-title>Large amplitude free vibrations of a uniform spring-hinged beam</article-title>. <source>J. Sound. Vib.</source> <volume>271</volume> (<issue>3&#x2013;5</issue>), <fpage>1163</fpage>&#x2013;<lpage>1169</lpage>. <pub-id pub-id-type="doi">10.1016/S0022-460X(03)00572-8</pub-id>
</mixed-citation>
</ref>
<ref id="B22">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pany</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Desai</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>de Rossi</surname>
<given-names>W.</given-names>
</name>
</person-group> (<year>2025</year>). <article-title>Editorial: advances of finite element methods in the precision manufacturing processes</article-title>. <source>Front. Manuf. Technol.</source> <volume>5</volume> (<issue>April</issue>), <fpage>2023</fpage>&#x2013;<lpage>2025</lpage>. <pub-id pub-id-type="doi">10.3389/fmtec.2025.1608699</pub-id>
</mixed-citation>
</ref>
<ref id="B23">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Pimenvo</surname>
<given-names>D. Y.</given-names>
</name>
<name>
<surname>da Silva</surname>
<given-names>L. R.</given-names>
</name>
<name>
<surname>Ercetin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Der</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Mikolajczyk</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Giasin</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>State-of-the art-review of application of image processing techniques for tool condition monitoring on conventional machining processes</article-title>. <source>Int. J. Adv. Manuf. Technol.</source> <volume>130</volume>, <fpage>57</fpage>&#x2013;<lpage>85</lpage>. <pub-id pub-id-type="doi">10.1007/s00170-023-12679-1</pub-id>
</mixed-citation>
</ref>
<ref id="B24">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Puig</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Perez-Vidal</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tost</surname>
<given-names>D.</given-names>
</name>
</person-group> (<year>2003</year>). <article-title>3D simulation of tool machining</article-title>. <source>Comput. Graph.</source> <volume>27</volume> (<issue>1</issue>), <fpage>99</fpage>&#x2013;<lpage>106</lpage>. <pub-id pub-id-type="doi">10.1016/S0097-8493(02)00248-0</pub-id>
</mixed-citation>
</ref>
<ref id="B25">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sanchez Gomez</surname>
<given-names>C. A.</given-names>
</name>
<name>
<surname>Gil Castiblanco</surname>
<given-names>L. E.</given-names>
</name>
<name>
<surname>Arroyo Osorio</surname>
<given-names>J. M.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Building a virtual machine tool in a standard PLM platform</article-title>. <source>Int. J. Interact. Des. Manuf.</source> <volume>11</volume> (<issue>2</issue>), <fpage>445</fpage>&#x2013;<lpage>455</lpage>. <pub-id pub-id-type="doi">10.1007/s12008-016-0312-9</pub-id>
</mixed-citation>
</ref>
<ref id="B26">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Lekurwale</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Design and development of three leg spiral curve flexural cartridge for micro drilling spindle head: a novel mechanism</article-title>. <source>Int. J. Mechatronics Manuf. Syst.</source> <volume>14</volume> (<issue>1</issue>), <fpage>55</fpage>&#x2013;<lpage>82</lpage>. <pub-id pub-id-type="doi">10.1504/IJMMS.2021.115463</pub-id>
</mixed-citation>
</ref>
<ref id="B27">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Lekurwale</surname>
<given-names>R. R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Parametric mathematical modelling and aspect ratio optimization of eccentric spiral profile flexural bearing through finite element analysis studies</article-title>. <source>SSRN Electron. J.</source> <pub-id pub-id-type="doi">10.2139/ssrn.3101366</pub-id>
</mixed-citation>
</ref>
<ref id="B28">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lekurwale</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Behavioural study of spiral flexure disc by design of experiments and contour plots</article-title>. <source>Ind. Eng. J.</source> <volume>12</volume> (<issue>8</issue>), <fpage>1</fpage>&#x2013;<lpage>9</lpage>. <pub-id pub-id-type="doi">10.26488/iej.12.8.1184</pub-id>
</mixed-citation>
</ref>
<ref id="B29">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Lekurwale</surname>
<given-names>R. R.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Radial stiffness computation of single archimedes spiral plane supporting spring loaded in flexural mechanism mounted in spindle head of micro drilling machine tool</article-title>. <source>Mech. Based Des. Struct. Mach.</source> <volume>1</volume> (<issue>5</issue>), <fpage>1</fpage>&#x2013;<lpage>21</lpage>. <pub-id pub-id-type="doi">10.1080/15397734.2022.2040363</pub-id>
</mixed-citation>
</ref>
<ref id="B30">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Lekurwale</surname>
<given-names>R. R.</given-names>
</name>
<name>
<surname>Bhole</surname>
<given-names>K. S.</given-names>
</name>
<name>
<surname>Oza</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>Patil</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Ramesh</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>5-axis virtual machine tool centre building in PLM environment</article-title>. <source>Int. J. Interact. Des. Manuf.</source> <pub-id pub-id-type="doi">10.1007/s12008-022-00974-2</pub-id>
</mixed-citation>
</ref>
<ref id="B31">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Shinde</surname>
<given-names>S. M.</given-names>
</name>
<name>
<surname>Bhole</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Diwan</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Geometrical operating parameter&#x2019;s analysis used in flexural cartridges</article-title>. <source>Int. J. Interact. Des. Manuf.</source> <volume>18</volume>, <fpage>7127</fpage>&#x2013;<lpage>7157</lpage>. <pub-id pub-id-type="doi">10.1007/s12008-023-01331-7</pub-id>
</mixed-citation>
</ref>
<ref id="B32">
<mixed-citation publication-type="journal">
<collab>Siemens Product Lifecycle Management Software</collab>. (<year>2013</year>).<article-title>NX 9 help documentation. Siemens</article-title>.</mixed-citation>
</ref>
<ref id="B33">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2006</year>). &#x201c;<article-title>Study on virtual intellingent assembly system for machine tool based on Multi-agent and petri - Net</article-title>,&#x201d; in <source>Procedings of the fifth international conference on machine learing and cybernetics</source> (<publisher-loc>IEEE</publisher-loc>), <fpage>28</fpage>&#x2013;<lpage>33</lpage>.</mixed-citation>
</ref>
<ref id="B34">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Wand</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Tang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>Y.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Design and development of five-axis machine tool with high accuracy, stiffness and effciency for aero-engines casing manufacturing</article-title>. <source>Chin. J. Aeronaut.</source> <volume>35</volume> (<issue>4</issue>), <fpage>485</fpage>&#x2013;<lpage>496</lpage>. <pub-id pub-id-type="doi">10.1016/j.cja.2021.04.001</pub-id>
</mixed-citation>
</ref>
<ref id="B35">
<mixed-citation publication-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Ji</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Liu</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Research on continuous machining strategy for five-axis machine tool: five-axis linkage to four-axis linkage</article-title>. <source>Appl. Sci.</source> <volume>13</volume> (<issue>12</issue>), <fpage>7038</fpage>. <pub-id pub-id-type="doi">10.3390/app13127038</pub-id>
</mixed-citation>
</ref>
<ref id="B36">
<mixed-citation publication-type="book">
<person-group person-group-type="author">
<name>
<surname>Yuksel</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>&#xd6;zl&#xfc;</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Oral</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Tosun</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>&#x130;&#x11f;rek</surname>
<given-names>O. F.</given-names>
</name>
<name>
<surname>Budak</surname>
<given-names>E.</given-names>
</name>
</person-group> (<year>2020</year>). &#x201c;<article-title>Design and analysis of a 5-Axis gantry CNC machine tool</article-title>,&#x201d; in <source>MATEC web of conferences</source>. <pub-id pub-id-type="doi">10.1051/matecconf/202031801019</pub-id>
</mixed-citation>
</ref>
</ref-list>
</back>
</article>