计算机集成制造系统 ›› 2020, Vol. 26 ›› Issue (5期): 1191-1201.DOI: 10.13196/j.cims.2020.05.005

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五轴数控成形磨齿机几何误差—齿面误差模型及关键误差识别

夏长久1,王时龙1+,孙守利1,林晓川2,黄筱调2   

  1. 1.重庆大学机械传动国家重点实验室
    2.南京工业大学机械与动力工程学院
  • 出版日期:2020-05-31 发布日期:2020-05-31
  • 基金资助:
    国家自然科学基金重点资助项目(51635003);国家科技重大专项资助项目(2015ZX04005003);国家重点研发计划资助项目(2018YFB1701203);重庆市自然科学基金面上资助项目(cstc2019jcyj-msxmX0050);中央高校基本科研业务费资助项目(2018CDXYJX0019)。

Geometric error to tooth surface error model and identification of crucial errors in five-axis CNC gear profile grinding machines

  • Online:2020-05-31 Published:2020-05-31
  • Supported by:
    Project supported by the National Natural Science Foundation,China(No.51635003),the National Science and Technology Major Project,China(No.2015ZX04005003),the National Key Research and Development Program,China(No.2018YFB1701203),the Natural Science Foundation of Chongqing  Municipality,China(No.cstc2019jcyj-msxmX0050),and the Fundamental Research Funds for the Central Universities,China(No.2018CDXYJX0019).

摘要: 为了揭示成形磨齿机床几何误差与齿面误差间的定量映射规律,识别影响磨齿精度的关键几何误差,提出一种结合几何误差—齿面误差模型与Morris全局敏感性分析的关键误差识别方法。针对五轴数控成形磨齿机,首先运用齐次变换矩阵建立刀具空间误差模型,并基于共轭磨削原理构建几何误差—齿面误差模型;然后采用Morris全局敏感性分析法量化误差敏感性,识别出关键误差和敏感部件;最后通过关键误差修正仿真和补偿加工实验进行有效性检验。结果表明,该方法能够有效识别磨齿关键误差,而且优于基于刀具空间误差模型的现有识别方法,可为后续敏感部件的精度强化和关键误差精确补偿提供可靠的理论依据,并高效提升磨齿精度。

关键词: 成形磨齿机, 几何误差, 齿面误差, 误差识别, 全局敏感性分析

Abstract: To reveal mapping rules between geometric errors and tooth surface errors and to identify crucial errors affecting grinding precision in the gear profile grinding machines,an identification method for crucial errors was proposed based on the geometric-error-to-tooth-surface-error model and the global-sensitivity-analysis Morris method.The tool volumetric error model was constructed by using homogeneous transformation matrices for five-axis CNC gear profile grinding machines,and the geometric-error-to-tooth-surface-error model was established based on conjugate grinding theory.The Morris method was utilized to quantify the sensitivity of geometric errors and identify the crucial errors and sensitive components.The effectiveness of the identified results was verified through the modification simulation of crucial errors and the machining experiment with error compensation.The result showed that the proposed method could effectively identify crucial errors of the gear grinding progress and that was superior to the existing identification method based on the tool volumetric error model.It could provide the reliable theoretical basis for the accuracy enhancement of sensitive components and the accurate compensation of crucial errors to improve grinding precision efficiently.

Key words: gear profile grinding machines, geometric errors, tooth surface errors, error identification, global sensitivity analysis

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