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行星轮系渐开线变位齿轮时变啮合刚度数值计算

岳喜铮 丁问司 丁康 曾智杰

重庆理工大学学报(自然科学版)2016,Vol.30Issue(6):38-44,7.
重庆理工大学学报(自然科学版)2016,Vol.30Issue(6):38-44,7.DOI:10.3969/j.issn.1674-8425(z).2016.06.007

行星轮系渐开线变位齿轮时变啮合刚度数值计算

Numerical Calculation of Planetary Gear Train Involute Modified Gear Time-Varying Meshing Stiffness

岳喜铮 1丁问司 1丁康 1曾智杰1

作者信息

  • 1. 华南理工大学 机械与汽车工程学院,广州 510641
  • 折叠

摘要

Abstract

The time-varying gear meshing stiffness is the main cause of gear vibration.To caculate the time-varying meshing stiffness has vital significance.Based on geometric parameters calculation method of external gear tooth profile in positive modified planetary gear train,according to the differences between external and internal gear tooth profiles,the geometric parameters calculation method of internal gear tooth profile was deduced in detail.Using Ishikawa tooth deformation calculation formula and stiffness calculation formula,positive modified planetary gear train internal and external time-varying meshing stiffness curves can be got by Matlab programming.Compared with the calculation result of Weber energy method,maximum static stiffness error is 3.7% and the first four order harmonic amplitude maximum error is 9.1% without considering the small amplitude value of the dynamic stiffness.Calculation accuracy meets the requirements.It can provide relatively accurate meshing stiffness for motion differential equation of the planetary gear train.

关键词

变位齿轮/石川公式/外啮合刚度/内啮合刚度

Key words

modified gear/Ishikawa formula/external meshing stiffness/internal meshing stiffness

分类

机械工程

引用本文复制引用

岳喜铮,丁问司,丁康,曾智杰..行星轮系渐开线变位齿轮时变啮合刚度数值计算[J].重庆理工大学学报(自然科学版),2016,30(6):38-44,7.

基金项目

国家自然科学基金资助项目 ()

重庆理工大学学报(自然科学版)

OACSTPCD

1674-8425

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