立方速度反馈控制的准零刚度隔振器动力学特性分析  

Dynamic analysis of a quasi-zero-stiffness vibration isolator with cubic velocity feedback control

作　　者：王勇[1] 李舜酩[1] 程春[1] 江星星[1] 

机构地区：[1]南京航空航天大学能源与动力学院,江苏南京210016

出　　处：《振动工程学报》2016年第2期305-313,共9页Journal of Vibration Engineering

基　　金：江苏省研究生培养创新工程(KYLX_0243);中央高校基本科研业务费专项资金资助项目(NZ2015103)

摘　　要：针对传统线性被动隔振系统中存在降低固有频率及提高承载力、抑制共振峰值及改善高频传递特性这两对矛盾,本文采用斜置弹簧作为负刚度调节机构与正刚度弹性元件并联组成准零刚度隔振器,并将立方速度反馈控制策略引入到准零刚度隔振器的主动控制中。采用多尺度法求得受控系统的主共振、亚谐共振响应,利用Sylvester结式法获得系统不发生跳跃现象的临界激励幅值和跳跃频率并研究系统的传递特性。与线性隔振系统相比,准零刚度隔振器具有高静低动刚度特性,能提高系统的承载力并降低固有频率。与被动隔振系统相比,采用立方速度反馈控制的准零刚度隔振器主共振峰处的幅值及亚谐共振存在区域逐渐减小,力传递率共振峰处的幅值降低且高频传递特性得到有效改善,对提高准零刚度隔振器的隔振性能具有理论指导意义。Considering there exist two dilemma of lowering natural frequency and increasing load bearing capacity, suppressing resonance amplitude and improving transmissibility in the higher frequency band for traditional linear passive isolation system, a quasi-zero-stiffness（QZS） vibration isolator with cubic velocity feedback control comprised of inclined springs used as stiffness correctors and positive stiffness element is proposed in this paper. The primary and subharmonic resonances of the controlled system are obtained using multi-scale method, the critical excitation amplitude which leads to no jump phenomenon and jump frequencies are obtained using Sylvester resultant method, the transmissibility of the controlled system is also analyzed. The QZS vibration isolator has high static stiffness and low dynamic stiffness characteristics which can increase load bearing capacity and lower natural frequency compared with the linear vibration isolator. Using cubic velocity feedback control strategy in QZS vibration isolator, the peak amplitude of the primary resonance and existence regions of the subharmonie resonance decrease, the peak amplitude of the force transmissibility decreases and the transmissibility in the higher frequency band improves compared with the passive vibration isolation system, which has formance of the QZS vibration isolator. theoretical guiding significance for improving the isolation per

关 键 词：振动主动控制 非线性隔振器 准零刚度 主共振 亚谐共振 

分 类 号：TB535[理学—物理] O322[理学—声学]