利用时滞反馈控制自参数振动系统的振动  

USING THE DELAYED FEEDBACK TO CONTROL THE VIBRATION OF THE AUTO-PARAMETRIC DYNAMICAL SYSTEM

作　　者：赵艳影[1] 徐鉴[2] 

机构地区：[1]南昌航空大学飞行器工程学院,南昌330063 [2]同济大学航空航天与力学学院,上海200092

出　　处：《力学学报》2011年第5期894-904,共11页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金项目(10802035);国家自然科学基金重点项目(11032009)资助~~

摘　　要：主要研究采用时滞状态反馈控制自参数动力吸振器减振系统中主系统的振动问题.系统在简谐激励作用下,采用多尺度方法得到了自参数动力吸振器减振系统中饱和控制的范围.当系统处于饱和控制时,引入时滞状态反馈控制主系统的振动.主要分析了反馈增益系数和时滞两控制参数对主系统振动的影响.结果表明,存在反馈增益系数和时滞的调节区域能够减小主系统的振动.对某一反馈增益系数,可以在某段区间内调节时滞以减小主系统的振动.在时滞的调节区间内存在一个时滞的"最大减振点",能够在该反馈增益系数下最大程度地减小主系统的振动.研究还表明,随着反馈增益系数的不断增大,时滞在"最大减振点"时系统的减振能力也不断提高.通过合理的选择反馈增益系数和时滞两参数,主系统的振动几乎可以完全消除.The delayed feedback control is applied to suppress the vibration of the primary system in an auto- parametric dynamical system. The multiple scale method is employed to obtain the range of the saturation control when the system is excited by the harmonic vibration. The delayed feedback control is used to control the vibration of the primary system when the system is in saturation control. The effects of the gain and delay on the vibration suppression of the primary system are analyzed. The results show that the vibration of the primary system can be suppressed at some values of the gain and delay. As the delay varies for a fixed gain, it is seen that the vibration of the primary system can be suppressed at some values of the delay. There is a ＂maximum vibration suppression point＂ at these values of delay, where the amplitude of the primary system can be suppressed to a minumum value. As the gain increases, the performance of the vibration suppression is improved at the ＂maximum vibration suppression point＂. It implies that if the suitable delay and gain are achieved the vibration of the primary system almost could be suppressed to zero.

关 键 词：时滞反馈 饱和控制 自参数动力吸振器 减振 

分 类 号：O328[理学—一般力学与力学基础] TB123[理学—力学]