负刚度时滞反馈控制动力吸振器的反共振优化  

Anti-resonance optimization of dynamic vibration absorbers with negative stiffness and delay feedback control

作　　者：代晗 赵艳影[1] DAI Han;ZHAO Yanying(School of Aircraft Engineering,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学飞行器工程学院,南昌330063

出　　处：《振动与冲击》2022年第4期4-13,35,共11页Journal of Vibration and Shock

基　　金：国家自然科学基金(12072140);江西省自然科学基金重点项目(20202ACBL201003)。

摘　　要：提出一种含接地负刚度弹簧的时滞动力吸振器的反共振峰最小优化方法。首先,研究的模型不考虑时滞位移控制和主系统的阻尼,利用固定点理论得到接地负刚度系统的最优结构参数。其次,考虑优化调节负刚度系数,利用反共振峰最小准则,把反共振点幅值控制在给定的足够小的范围内,得到一组最优结构参数,使调控的反共振频率频带最宽。接着,调节主系统的阻尼系数,得到最终的一组最优结构参数。最后,通过幅频响应和时间历程响应曲线证明了反共振峰最小准则的正确性,并且将该研究结果与其他两种等峰优化的吸振器模型的减振效果进行对比,证明了接地负刚度时滞动力吸振器减振效果的优越性。In the present paper, an anti-resonance peak minimization criterion(APMC) was studied in the delayed feedback dynamic vibration absorber vibrating system with negative stiffness. Firstly, the first step optimal structural parameters of the negative stiffness grounding system were obtained by using the fixed point theory. In this step, the time-delay positions control and the damping of the main system were not considered, and optimal structural parameters were recorded as the first step optimal structural parameters. Secondly, the second step optimal structural parameters of the system were obtained by using the APMC. In this step, negative stiffness coefficient and delayed feedback control were considered, and the amplitude of the anti-resonance point was controlled in a very small range with wide frequency band of anti-resonance peak. Thirdly, the third step optimal structural parameters of the system were obtained by adjusting the damping coefficient of the main system. Numerical simulation results of amplitude-frequency and time-history response curves agree with the analytical results well, and the correctness of APMC is proved. The results of the present paper were compared with those of the other two models of passive vibration absorbers. The superiority of delayed feedback control with the negative stiffness system was proved at the fact of perfect vibration reduction performance.

关 键 词：负刚度 反共振点 时滞反馈控制 动力吸振器 

分 类 号：O328[理学—一般力学与力学基础] TH213.3[理学—力学]