Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method

Yang Changhui; Xu Taojin; Xu Hongbin; Wang Zhiqiang; Liang Juke; Li Bingqian

doi:10.16578/j.issn.1004.2539.2015.02.024

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Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method

更新时间：2022-10-20

- Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method
- Vol. 39, Issue 2, Pages: 59-62(2015)
- 作者机构：
  
  1. 重庆理工大学汽车零部件先进制造技术教育部重点实验室
  2. 重庆理工大学机械工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2015.02.024
  CLC：
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[1]杨长辉,徐涛金,许洪斌,王智强,梁举科,李丙乾.基于Weber能量法的直齿轮时变啮合刚度数值计算[J].机械传动,2015,39(02):59-62.

Yang Changhui, Xu Taojin, Xu Hongbin, et al. Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method. [J]. 39(2):59-62(2015)
[1]杨长辉,徐涛金,许洪斌,王智强,梁举科,李丙乾.基于Weber能量法的直齿轮时变啮合刚度数值计算[J].机械传动,2015,39(02):59-62. DOI： 10.16578/j.issn.1004.2539.2015.02.024.

Yang Changhui, Xu Taojin, Xu Hongbin, et al. Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method. [J]. 39(2):59-62(2015) DOI： 10.16578/j.issn.1004.2539.2015.02.024.

摘要

基于Weber能量法推导了直齿轮时变啮合刚度的数值积分公式,对于齿轮啮合点的确定,采用变增量、无限逼近的方法,采用这种方法可以很容易的求解出经齿廓修形后齿轮啮合点的位置,便于后续齿廓修形的研究,且通过改变增量的大小,可以将啮合点位置精度误差控制在10-4 mm内。并利用MATLAB计算出了某大功率风电齿轮箱一级行星轮直齿轮时变啮合刚度,为后续风电齿轮箱动力学分析奠定了基础。

Abstract

Based on the Weber energy method,the numerical integral calculation formula of timevarying meshing stiffness for spur gear is derived.The meshing points are obtained by using the method of variable increment and infinite approximation method.By using this method,the meshing points location of the gear after tooth profile modification can be easily obtained.It is convenient for the study of the tooth profile modification.And by changing the value of the increment,the accuracy errors of the position of the meshing points can be controlled within 10-4 mm.And some MATLAB programs are written to calculate the time-varying meshing stiffness of the first stage planetary spur gear of a high-power wind turbine gearbox,thus it will lay the foundation for the subsequent dynamics analysis of wind turbine gearbox.

关键词

Weber能量法时变啮合刚度直齿轮数值计算

Keywords

Weber energy methodTime-varying meshing stiffnessSpur gearNumerical calculation

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Department of Aviation Mechanical Engineering and Management in Qingdao Branch, Naval Aviation University

School of Mechanotronics and Vehicle Engineering, Chongqing Jiaotong University

School of Information and Intelligent Manufacturing, Chongqing City Vocational College

Department of Intelligent Manufacturing and Industrial Safety, Chongqing Vocational Institute of Safety Technology

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