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<p>Component assembly accuracy of grinding machine tools is crucial for achieving precision performance. In the gear grinding process, the application of the generating method needs precise control over both the pose accuracy of the grinding wheel and the rotational speed accuracy of the machine tool’s turntable. This research firstly established a kinematic model that incorporates assembly errors using the product of exponentials (POE) convention based on screw theory. A map from assembly errors to pose errors of the grinding wheel is deduced from the model. A statistical verification for the proposed error map has a maximum deviation of less than 2%. Furthermore, the sensitivities of assembly errors are analytically expressed, and the grinding error performance is illustrated within the workspace. Practical tooth profile models of a gear, with location eccentricity and rotational speed fluctuation of the turntable, are proposed using envelope theory. Mutual compensation methods are verified through grinding simulations and supported from relevant document. Finally, the transmission error of a gear is virtually measured, with results showing a maximum deviation of less than 6% compared to relevant documentation, thereby validating the proposed models and compensation methods.</p>

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Assembly accuracy modeling and analysis of a 5-axis grinding machine tool

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Jian Ding,
  • Jiawei Pan,
  • Cao Tong,
  • Chensheng Tang,
  • Jianguang Li

摘要

Component assembly accuracy of grinding machine tools is crucial for achieving precision performance. In the gear grinding process, the application of the generating method needs precise control over both the pose accuracy of the grinding wheel and the rotational speed accuracy of the machine tool’s turntable. This research firstly established a kinematic model that incorporates assembly errors using the product of exponentials (POE) convention based on screw theory. A map from assembly errors to pose errors of the grinding wheel is deduced from the model. A statistical verification for the proposed error map has a maximum deviation of less than 2%. Furthermore, the sensitivities of assembly errors are analytically expressed, and the grinding error performance is illustrated within the workspace. Practical tooth profile models of a gear, with location eccentricity and rotational speed fluctuation of the turntable, are proposed using envelope theory. Mutual compensation methods are verified through grinding simulations and supported from relevant document. Finally, the transmission error of a gear is virtually measured, with results showing a maximum deviation of less than 6% compared to relevant documentation, thereby validating the proposed models and compensation methods.