Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation

doi:10.7652/xjtuxb201401017

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Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation

更新时间：2025-07-09

- Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation
- Vol. 48, Issue 1, Pages: 101-105(2014)
- 作者机构：
  
  1. 西安交通大学机械工程学院,西安,710049
  2. 西安交通大学机械结构强度与振动国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201401017
  CLC： O121.8;G558
- Online First：10 January 2014，
  
  Published：2014
- 稿件说明：
移动端阅览
Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation[J]. 2014, 48(1): 101-105.
DOI：

Non-Linear Dynamics of Spur Gear Pair under External Periodic Excitation[J]. 2014, 48(1): 101-105. DOI： 10.7652/xjtuxb201401017.

摘要

为了研究外部动态激励作用下齿轮系统非线性动力学特性

建立了考虑周期时变刚度、齿侧间隙、黏弹性阻尼和外部动态激励的单自由度直齿轮副系统动力学模型。针对外部动态激励作用下的周期时变刚度、齿侧间隙、激励幅值和阻尼比对齿轮副系统动力学特性的影响

采用增量谐波平衡法来求解齿轮副系统的稳态周期响应

并采用四阶变步长Runge-Kutta数值方法进行了验证。研究结果表明

增量谐波平衡法求解结果与数值仿真结果吻合得较好

齿轮系统在外部动态激励作用下会引起参数共振、多值解和幅值跳跃等非线性动力学行为

增大激励幅值和阻尼比等参数

能够有效控制齿轮系统的非线性振动响应。

Abstract

Under external periodic excitation

the dynamic model of a single-degree-of-freedom spur gear pair with periodic time-varying stiffness

backlash and viscous damping is established. The incremental harmonic balance method(IHBM)is applied to analyze the dynamic responses of the gear pair system. A comparison with Runge-Kutta integration results shows the accuracy and authority of IHBM. The effects of the periodic time-varying stiffness

backlash

excitation amplitude and viscous damping ratio on the dynamic characteristics of gear pair system are investigated. It indicates that the time-varying factors and backlash under periodic excitation usually lead to parametric resonance

multi-valued properties and amplitude jump phenomena. The enhanced excitation amplitude and the damping ratio facilitate controlling the nonlinear vibration.

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Keywords

references

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