A formulation of tooth deformation and its error compensation for worm gear transmission mechanisms

Author:

Zhao Pengbing1,Huang Jin1,Shi Yaoyao2

Affiliation:

1. The Key Laboratory of Electronic Equipment Structure Design, Ministry of Education, Xidian University, Xi’an, China

2. The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Ministry of Education, Northwestern Polytechnical University, Xi’an, China

Abstract

Milling head and rotary table are the key components in five-axis CNC machine tools. However, tracking and positioning precision of these rotary axes based on worm gear mechanisms are affected by the backlash, friction, elastic deformation, and other nonlinearities. Therefore, finding out a simple and universal principle to predict the tooth deformation in an initial design is quite significant. A novel deformation calculation and compensation method with finite element analysis and circular plate theory is proposed for the worm gear transmissions. When the relationship (form factor) between the solutions of circular plate theory and finite element analysis is derived, deformation calculation with finite element analysis can be replaced by multiplying the solution of circular plate theory and the form factor. Analysis and calculation results show that the presented method can provide a reference for the compensation control of the positioning errors.

Publisher

SAGE Publications

Subject

Mechanical Engineering

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Measurement and Compensation Backlash Error for A Five-Axis Machine Tool by Computer Numerical Control;2023 IEEE 5th Eurasia Conference on IOT, Communication and Engineering (ECICE);2023-10-27

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