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 引用本文: 申永军, 赵永香, 田佳雨, 杨绍普. 一类含时滞的半主动悬架系统的动力学分析[J]. 力学学报, 2013, 45(5): 755-762.
Shen Yongjun, Zhao Yongxiang, Tian Jiayu, Yang Shaopu. DYNAMICAL ANALYSIS ON A KIND OF SEMI-ACTIVE SUSPENSION WITH TIME DELAY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 755-762.
 Citation: Shen Yongjun, Zhao Yongxiang, Tian Jiayu, Yang Shaopu. DYNAMICAL ANALYSIS ON A KIND OF SEMI-ACTIVE SUSPENSION WITH TIME DELAY[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(5): 755-762.

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

• 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.

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.

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