• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2019, Vol. 55 ›› Issue (18): 125-131.doi: 10.3901/JME.2019.18.125

• 运载工程 • 上一篇    

基于非线性Drive-shaft模型的车辆传动系扭振稳定性分析

何仁, 韩清振   

  1. 江苏大学汽车与交通工程学院 镇江 212013
  • 收稿日期:2018-06-27 修回日期:2019-01-20 发布日期:2020-01-07
  • 通讯作者: 何仁(通信作者),男,1962年出生,博士,教授,博士研究生导师。主要研究方向为汽车机电一体化技术。E-mail:heren1962@163.com
  • 作者简介:韩清振,男,1989年出生,博士研究生。主要研究方向为车辆综合节能与新能源汽车技术。E-mail:tsingen2009@163.com
  • 基金资助:
    国家自然科学基金(51275212)、江苏省高校自然科学研究重大(13KJA580001)和2016年度江苏省普通高校研究生科研创新计划(KYZZ16_0332)资助项目。

Stability Analysis of Torsional Vibration of Vehicle Powertrain Based on the Nonlinear Drive-shaft Model

HE Ren, HAN Qingzhen   

  1. School of Automotive and Traffic Engineering, Jiangsu University, Zhenjiang 212013
  • Received:2018-06-27 Revised:2019-01-20 Published:2020-01-07

摘要: 在车辆传动系统Drive-shaft模型的基础上通过引入非线性刚度和非线性阻尼,探究非线性项对传动系统扭振行为及其稳定性的影响。采用试验方法验证非线性项的存在性。建立考虑非线性刚度和非线性阻尼的传动系统Drive-shaft模型,采用Lagrange方法建立相应的当量化模型,采用分岔理论获得恒定激励下导致Drive-shaft模型稳定性发生改变的fold和Hopf分岔条件。采用多尺度方法得到Drive-shaft模型发生共振时的平均方程和幅频响应方程,进而采用分岔理论获得导致共振曲线失稳的fold和Hopf分岔条件。仿真分析非线性项对共振稳定性的影响,结果表明非线性阻尼的存在可能会引起Hopf分岔进而改变共振响应曲线的稳定性,非线性刚度的存在可能会引起fold分岔进而改变共振响应曲线的稳定性,同时避免Hopf和Fold分岔的发生可保证共振响应曲线的稳定性。

关键词: 传动系, Drive-shaft, 非线性, 稳定性, 分岔

Abstract: The influence of the nonlinear terms on the torsional dynamics of the powertrain is studied by adding nonlinear stiffness and nonlinear damping on the traditional linear Drive-shaft model of the powertrain. The existence of the nonlinear stiffness is verified by experimental method. Based on the nonlinear Drive-shaft model, the quantified model is obtained by using Lagrange method. The stability condition and bifurcation condition, fold bifurcation and Hopf bifurcation, of the torsional vibration system with constant excitation are deduced. The averaged equations and the amplitude-frequency response equation of the torsional vibration system during resonance are obtained by using the method of multi-scale. The stability condition and the bifurcation condition, fold bifurcation and Hopf bifurcation, of the resonance curve of the torsional vibration system are also deduced by using bifurcation theories. The influence of the nonlinear stiffness and nonlinear damping on the torsional dynamics are studied by simulation. It is shown that the nonlinear damping coefficient can lead to Hopf bifurcation which can cause instability of the resonance response, and the nonlinear stiffness coefficient can lead to fold bifurcation which can also cause instability of the resonance response. It is also shown that the instability of the resonance response can be suppressed by avoiding the occurrence of fold and Hopf bifurcation.

Key words: powertrain, Drive-shaft, nonlinear, stability, bifurcation

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