基于极点配置的调谐黏滞质量阻尼器脉冲型振动响应控制

Impulsive vibration response control of tuned viscous mass damper based on pole assignment approach

在脉冲型随机激励(如近场地震、突发阵风等)的动力冲击作用下,结构通常因振动响应在短时间内达到最不利峰值而破坏。已有的针对脉冲型响应峰值的控制方法较少。为了更好地实现脉冲型振动响应的被动控制,以调谐黏滞质量阻尼器(TVMD)为研究对象,通过配置响应传递函数的极点,使结构脉冲响应函数衰减最快,推导得到了TVMD的稳定性最大化优化参数解析公式。通过对具有脉冲特性的近场地震响应和突发阵风响应的振动控制算例分析,将该方法与传统固定点理论得到的优化参数控制效果进行对比。结果表明:基于传递函数极点配置的TVMD脉冲型振动响应控制方法对脉冲型振动响应的峰值控制效果显著优于固定点理论的,且随惯质比变化并不显著,采用该方法可使具有脉冲特性的近场地震位移响应最不利值平均降低约50%,突发阵风最不利极值位移响应降低约40%。

Under the dynamic impact of impulsive stochastic excitation(such as near-fault earthquake,transient gusty wind,etc.),the structural vibration response reaches the most unfavorable peak in a short time,which is likely to result in structural damage.There is a lack of investigation on the control of the peak value of impulsive responses.In order to improve the impulsive resistant performance of the passive vibration control devices,the pole assignment approach was proposed on tuned viscous mass damper(TVMD)in this paper.The poles of the transfer function were assigned appropriately to make the impulsive response function decay in a fastest manner.The analytical formulas of stability maximization optimal parameters of TVMD were derived.Based on the vibration control analysis on near-fault seismic-induced responses and transient gusty wind-induced responses,the optimal control performance obtained by the presented method was compared with that of traditional fixed point theory.The results show that the control performance on the peak of impulsive vibration responses of the presented method is significantly better than the fixed point theory.And it is less sensitive to the inertance-to-mass ratio.Using this method,the most unfavorable displacement response of near-fault earthquake can be reduced by about 50%on average,and the most unfavorable extreme wind-induced displacement response subjected to transient gust can be reduced by about 40%.