两自由度非线性吸振器在简谐激励下的振动抑制  

Vibration Suppression of a Two-degree-of-freedom Nonlinear Energy Sink Under Harmonic Excitation

作　　者：孔宪仁[1] 张也弛[1] 

机构地区：[1]哈尔滨工业大学航天学院卫星技术研究所,黑龙江哈尔滨150080

出　　处：《航空学报》2012年第6期1020-1029,共10页Acta Aeronautica et Astronautica Sinica

基　　金：长江学者与创新团队发展计划(IRT0520)~~

摘　　要：为了分析两自由度(2-DOF)非线性吸振器(NES)在主共振附近产生周期及非周期响应时的振动抑制效果,首先应用复变量-平均法,推导了线性主结构连接一个2-DOF NES的系统在主共振附近的慢变力学模型,并对系统平衡点的稳定性进行了分析,进一步对系统响应类型进行了预测。然后,应用增量谐波平衡(IHB)法,对系统的慢变模型进行了数值验证。之后,对系统在稳态响应段及强调制响应(SMR)段的振动抑制效果进行了比较。最后研究了该系统在激励频率小幅变化时的振动抑制效果,并同单自由度(SDOF)NES进行了比较。仿真结果表明,2-DOF NES在强调制响应段的振动抑制效果更好,并且得到了比同质量优化后的S-DOF NES更好的振动抑制效果。Vibration suppression in the vicinity of the main resonance of a two-degree-of-freedom （2-DOF） nonlinear energy sink （NES） is investigated. The effectiveness of the 2-DOF NES is studied at both the periodic and quasi-periodic response regimes. Slow dynamics of a linear oscillator coupled with a 2-DOF small mass NES is established using the complex-avera- ging method. Stability of fixed points is investigated and a strongly modulated response （SMR~ regime is found. The slow dynamics of the system is verified by the incremental harmonic balance ~IHB） method, and the efficiency of vibration sup- pression at both periodic and strongly modulated response regimes are compared. Finally, the efficiency of vibration sup- pression is also compared with an equal-mass single-DOF （SDOF） NES which is optimally tuned. The simulation results show that the efficiency of vibration suppression can be enhanced by the 2-DOF NES when strongly modulated response occurs, and better performance of vibration suppression is observed compared to the same-mass SDOF NES.

关 键 词：非线性吸振器 振动抑制 增量谐波平衡法 简谐激励 强非线性系统 

分 类 号：V414.33[航空宇航科学与技术—航空宇航推进理论与工程]