ScholarLens Back to search
2004•Journal of low frequency noise, vibration and active controlRequires access

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

Shen Yongjun, Yang Shaopu, Pan Cunzhi, Liu Xiandong

Open publisher page 15 citations

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.

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Backlash, Harmonic balance, Stiffness, Nonlinear system, Spur gear, Control theory (sociology), Dynamics (music), Spur

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Nonlinear Dynamics of a Spur Gear Pair with Time-Varying Stiffness and Backlash — Research Paper | ScholarLens