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A unified framework for rapid-reconstructive and parameterized geometric error modelling of five-axis machine tools with different configurations.

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Title: A unified framework for rapid-reconstructive and parameterized geometric error modelling of five-axis machine tools with different configurations.
Authors: Liu, Xiaojian1,2,3 (AUTHOR), Dai, Shuwan1,2 (AUTHOR), Jiao, Ao1,2 (AUTHOR), Wang, Yang1,2 (AUTHOR) onward@zju.edu.cn, Zhang, Yiming1,2 (AUTHOR) yimingzhang@zju.edu.cn, Gao, Yicong1,2 (AUTHOR), Yi, Guodong1,2 (AUTHOR), Zhang, Shuyou1,2,3 (AUTHOR), Tan, Jianrong1,2,3 (AUTHOR)
Source: International Journal of Advanced Manufacturing Technology. May2026, Vol. 144 Issue 3/4, p2931-2960. 30p.
Subjects: Parameterization, Machine tool manufacturing, Milling machinery, Mathematical optimization
Abstract: Traditional homogeneous transform matrix (HTM) method for geometric error modelling of five-axis machine tools (FAMTs) has some misuse problems in applications including possible distortion and low adaptiveness to variations due to its complexity. Hence, a novel, unified and parameterized framework for geometric error modelling is proposed. Initially, the idea of expressing deviations with transfer vectors is introduced. Novel definitions led by local transfer vector and transition matrix are then proposed to enable the calculation of transfer vectors without HTM process. Subsequently, a transfer vector table with the configuration parameters of FAMTs, i.e., ParamSet, as input is created. Finally, by identifying ParamSet of various FAMTs and specifying each parameter in the transfer vector table, the corresponding geometric error model can be directly generated. With the transfer vector table being reusable, this modelling method can reconstruct rapidly to adapt to different configurations of FAMTs. The application of this method to BC-type and AC-type dual rotary table FAMTs generated error models with accuracy consistent with traditional models, while the modelling process is greatly simplified and the computational time is significantly reduced, validating the feasibility of the proposed framework. Applying this framework in the design phase is beneficial to infuse FAMTs with resilience. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Advanced Manufacturing Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 194162827
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PubTypeId: academicJournal
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  Label: Title
  Group: Ti
  Data: A unified framework for rapid-reconstructive and parameterized geometric error modelling of five-axis machine tools with different configurations.
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Xiaojian%22">Liu, Xiaojian</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Dai%2C+Shuwan%22">Dai, Shuwan</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Jiao%2C+Ao%22">Jiao, Ao</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Yang%22">Wang, Yang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> onward@zju.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Yiming%22">Zhang, Yiming</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> yimingzhang@zju.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Gao%2C+Yicong%22">Gao, Yicong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yi%2C+Guodong%22">Yi, Guodong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Shuyou%22">Zhang, Shuyou</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tan%2C+Jianrong%22">Tan, Jianrong</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Advanced+Manufacturing+Technology%22">International Journal of Advanced Manufacturing Technology</searchLink>. May2026, Vol. 144 Issue 3/4, p2931-2960. 30p.
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  Data: <searchLink fieldCode="DE" term="%22Parameterization%22">Parameterization</searchLink><br /><searchLink fieldCode="DE" term="%22Machine+tool+manufacturing%22">Machine tool manufacturing</searchLink><br /><searchLink fieldCode="DE" term="%22Milling+machinery%22">Milling machinery</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Traditional homogeneous transform matrix (HTM) method for geometric error modelling of five-axis machine tools (FAMTs) has some misuse problems in applications including possible distortion and low adaptiveness to variations due to its complexity. Hence, a novel, unified and parameterized framework for geometric error modelling is proposed. Initially, the idea of expressing deviations with transfer vectors is introduced. Novel definitions led by local transfer vector and transition matrix are then proposed to enable the calculation of transfer vectors without HTM process. Subsequently, a transfer vector table with the configuration parameters of FAMTs, i.e., ParamSet, as input is created. Finally, by identifying ParamSet of various FAMTs and specifying each parameter in the transfer vector table, the corresponding geometric error model can be directly generated. With the transfer vector table being reusable, this modelling method can reconstruct rapidly to adapt to different configurations of FAMTs. The application of this method to BC-type and AC-type dual rotary table FAMTs generated error models with accuracy consistent with traditional models, while the modelling process is greatly simplified and the computational time is significantly reduced, validating the feasibility of the proposed framework. Applying this framework in the design phase is beneficial to infuse FAMTs with resilience. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Advanced Manufacturing Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00170-026-18032-6
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      – Code: eng
        Text: English
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        PageCount: 30
        StartPage: 2931
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      – SubjectFull: Parameterization
        Type: general
      – SubjectFull: Machine tool manufacturing
        Type: general
      – SubjectFull: Milling machinery
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
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      – TitleFull: A unified framework for rapid-reconstructive and parameterized geometric error modelling of five-axis machine tools with different configurations.
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            NameFull: Liu, Xiaojian
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            NameFull: Dai, Shuwan
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            NameFull: Jiao, Ao
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            NameFull: Wang, Yang
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            – D: 15
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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              Value: 144
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