Nonlinear Dynamics of a Spur Gear Pair with Time-Varying Stiffness and Backlash-Reference-Cited by-同舟云学术

Nonlinear Dynamics of a Spur Gear Pair with Time-Varying Stiffness and Backlash

Published:2004-09 Issue:3 Volume:23 Page:179-187
ISSN:1461-3484
Container-title:Journal of Low Frequency Noise, Vibration and Active Control
language:en
Short-container-title:Journal of Low Frequency Noise, Vibration and Active Control

Author:

Yongjun Shen¹,Shaopu Yang¹,Cunzhi Pan¹,Xiandong Liu²

Affiliation:

1. Department of Mechanical Engineering, Shijiazhuang Railway Institute, Shijiazhuang, China 050043

2. Department of Automobile Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083

Abstract

In this paper the nonlinear dynamics of a spur gear pair are researched based on the Incremental Harmonic Balance Method (IHBM), where the time-varying stiffness and backlash are included. Firstly, the general forms of the periodic solutions are established. Then the frequency-response of this system is investigated by IHBM, and the effects of damping ratio and amplitude of excitation on the response are also analyzed. Based on the results presented in this paper the periodic solution with arbitrary precision can be expeditiously obtained, which is useful in analyzing or controlling the dynamics of the gear system. Finally some problems ignored in other references are pointed out.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Geophysics,Mechanics of Materials,Acoustics and Ultrasonics,Building and Construction,Civil and Structural Engineering

Link

http://journals.sagepub.com/doi/pdf/10.1260/0263-0923.23.3.179

Reference8 articles.

1. Mathematical models used in gear dynamics—A review

2. Non-linear dynamics of a spur gear pair

3. Dynamic analysis of piecewise linear oscillators with time periodic coefficients

4. Analysis of periodically excited non-linear systems by a parametric continuation technique

5. Experiments on Nonlinear Dynamic Behavior of an Oscillator With Clearance and Periodically Time-Varying Parameters

Cited by 7 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. Nonlinear Frequency Response Analysis of Double-helical Gear Pair Based on the Incremental Harmonic Balance Method;Shock and Vibration;2021-04-15

2. An implicit algorithm for the dynamic study of nonlinear vibration of spur gear system with backlash;Mechanics & Industry;2018

3. Bursting and delay behavior in the Belousov-Zhabotinsky reaction with external excitation;The European Physical Journal Plus;2017-06

4. Bifurcation characteristics of torsional-horizontal coupled vibration of rolling mill system;Journal of Vibroengineering;2017-05-15

5. An analytical method for Mathieu oscillator based on method of variation of parameter;Communications in Nonlinear Science and Numerical Simulation;2016-08