叠加激励下的时变时滞反馈减振控制  

Time varying delay feedback vibration control for multipled excitation forces

作　　者：李帅 周继磊[1] 任传波[1] 邵素娟 LI Shuai;ZHOU Ji-lei;REN Chuan-bo;SHAO Su-juan(School of Traffic and Vehicle Engineering,Shandong University of Technology,Zibo 255049,China)

机构地区：[1]山东理工大学交通与车辆工程学院,山东淄博255049

出　　处：《广西大学学报（自然科学版）》2018年第3期982-994,共13页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(51275280);山东省自然科学基金资助项目(ZR2015EL048)

摘　　要：时滞动力吸振器是一种将时滞反馈力作为主动控制力的主动吸振器。当系统受单个激励力作用时,时滞动力吸振器能够对系统的振动响应起到很好的控制效果,但当多个频率不同的激励力同时作用时,时滞动力吸振器的控制效果并不明显。针对上述问题,文中提出了"等效频率"概念和时变时滞反馈控制方法。通过计算激励力的等效频率,据此对时滞反馈控制力进行实时调整,使时滞动力吸振器可以对多个同时作用的激励作出有效应对,从而有效控制主系统的振动响应。文中首先利用精细积分法,将系统振动微分方程变为精细积分方程形式,以此将连续时间区间上的多个同时作用的激励力变为各个离散时间区间内与叠加激励具有相同作用效果的正弦激励力;然后计算得出离散时间区间内正弦激励力的频率,并根据计算结果调整时滞动力吸振器参数与系统参数,据此计算各时间区间内的时滞反馈控制力;最后,以二自由度时滞动力吸振器减振模型为例,以主系统的各项振动响应为仿真对象,对主系统振动响应的时域进行仿真研究。研究结果表明,比于定值时滞反馈动力吸振器控制,在时变时滞反馈动力吸振器控制下,主系统振动位移、振动速度与振动加速度分别减少了96.4%、95.9%和97.1%,说明在时变时滞反馈控制下,结构主系统的振动响应得到了有效的控制。Time-delay dynamic vibration absorber is a kind of active vibration absorber taking the time delay feedback as active control force. The time-delay vibration absorber would have a good control effect to the vibration response of the primary system excitated by a single harmonic force.But its control effect is not obvious when the excitation forces applied on the primary system were multiple harmonic excitation forces. To solve the above problem,a new technique of the equivalent frequency concept and the time-varying delayed feedback control method were presented. By calculating the equivalent frequency of the excitation force,the time-delay feedback control force inreal time was adjusted,so that the time-delay dynamic absorber can respond effectively to multiple harmonic excitation forces,and control the vibration response of the primary system effectively. The precise integration method was firstly used to transform the system vibration differential equation into fine integral form. Simultaneously-acting exciting forces in continuous time intervals are changed into sinusoidal exciting forces having the same effect as superimposed excitation in each discrete time interval. Then the frequency of sinusoidal excitation force in discrete time interval was calculated,and system parameters of time-delay dynamic vibration absorber were adjusted according to the calculation results,and the time-delay feedback control force in each time interval was calculated based on the results. Finally,taking the vibration absorption model of a two degree of freedom time delay dynamic vibration absorber as an example,the vibration response of the primary system is taken as the simulation object and the time domain simulation results of the main system＇s vibration response were obtained. The results show that the vibration displacement,vibration speed and vibration acceleration of the primary system under the control of time-varying delay dynamic vibration absorbers reduced by 96. 4%,95. 9% and 97. 1% respectively compared with that

关 键 词：时滞动力吸振器 等效频率 精细积分法 时变时滞反馈控制 

分 类 号：O032.8[理学]