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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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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:02683768
DOI:10.1007/s00170-026-18032-6