一类含时滞的半主动悬架系统的动力学分析

申永军; 赵永香; 田佳雨; 杨绍普

doi:10.6052/0459-1879-13-017

一类含时滞的半主动悬架系统的动力学分析

doi: 10.6052/0459-1879-13-017

1.
石家庄铁道大学机械工程学院, 石家庄 050043
2. 中铁二十四局集团安徽工程有限公司, 合肥 230011

基金项目: 国家自然科学基金(11072158, 10932006)、河北省杰出青年科学基金(E2010002047)、教育部新世纪优秀人才支持计划(NCET-11-0936)、教育部长江学者和创新团队发展计划(IRT0971)资助项目.

详细信息

通讯作者:
申永军,教授,主要研究方向:机械系统动力学与控制.E-mail:shenyongjun@126.com

中图分类号: O322;TU31
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出版历程
- 收稿日期: 2013-01-21
- 修回日期: 2013-02-28
- 刊出日期: 2013-09-18

DYNAMICAL ANALYSIS ON A KIND OF SEMI-ACTIVE SUSPENSION WITH TIME DELAY

1.
Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
2. China Railway 24th Bureau Group Anhui Engineering Company Limited, Hefei 230011, China

Funds: The project was supported by the National Natural Science Foundation of China (11072158, 10932006), the Science Fund for Distinguished Young Scholars of Hebei Province, China (E2010002047), the Program for New Century Excellent Talents (NCET-11-0936) and Innovative Research Team in University of Ministry of Education of China (IRT0971).

摘要

摘要: 对一类采用有限相对位移控制的含时滞单自由度半主动悬架系统进行了动力学分析.首先通过平均法得到了该系统的一阶近似解, 然后基于Lyapunov理论建立了系统的稳定性条件, 结果表明近似解的稳态幅值和稳定性条件都是时滞量的周期函数, 并且和外激励具有相同周期.通过对数值解和解析解的幅频曲线进行比较, 验证了一阶近似解析解的准确性, 并且解释了半主动控制中的高频颤振现象.研究了被动悬架系统并且和半主动悬架系统进行了比较, 证实了半主动悬架系统的优越性.最后, 探讨了一些关键的系统参数, 如控制间隙、时滞量、最小阻尼比等对半主动悬架系统稳态幅值的影响.
- 半主动悬架 /
- 时滞 /
- 平均法 /
- 振动控制
Abstract: The dynamical analysis on a single degree-of-freedom semi-active suspension system with time delay is completed in this paper, where the limited relative displacement control is adopted in this system. The first-order approximately analytical solution is obtained by the averaging method, and the stability condition is set up based on Lyapunov theory. The results show that the steady-state amplitude of the approximate solution and the stability conditions are all periodic functions of time delay, and have the same period as the excitation one. Through the comparison of the amplitude-frequency curves obtained by the approximate solution and the numerical method, the correctness and satisfactory precision of the approximate solution are verified. The chattering phenomenon of semi-active control existing in high frequency is also explained. Moreover, the passive suspension is also researched analytically and compared with the semi-active one, and the results confirm the superiority of semi-active suspension. Finally, the effects of some key system parameters on control performance, including the control clearance, time delay and minimum damping ratio, are discussed.
- semi-active suspension /
- time delay /
- averaging method /
- vibration control

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