非线性耦合振子间产生靶能量传递的初始条件  

Initial conditions for targeted energy transfer in coupled nonlinear oscillators

作　　者：张也弛[1] 孔宪仁[1] 

机构地区：[1]哈尔滨工业大学卫星技术研究所,哈尔滨150080

出　　处：《哈尔滨工业大学学报》2012年第7期21-26,共6页Journal of Harbin Institute of Technology

基　　金：长江学者和创新团队发展计划资助项目(IRT0520)

摘　　要：针对线性振子连接非线性能量阱的系统中产生靶能量传递需要一定的初始条件,首先说明最优靶能量传递同其非保守系统中完全能量传递存在一致性,之后建立该非保守系统的慢变力学模型,并针对该系统提出引发最优靶能量传递的初始能量同系统中立方刚度存在精确比例关系的假设和推论,通过数值仿真验证了该假设及推论的正确性.最后将该结论应用于线性振子连接非线性能量阱系统的立方刚度设计,提出了设计可实现靶能量传递的立方刚度的方法.The initial conditions for targeted energy transfer in coupled nonlinear oscillators are investigated.First it is shown that optimal targeted energy transfer and complete energy exchange in non-conservative systems are basically the same in the system of a linear oscillator coupled with a nonlinear energy sink.An assumption and an inference are proposed that there is a proportional relationship between initial energy for inducing optimal targeted energy transfer and the cubic stiffness based on the research of slow-flow dynamics of the non-conservative system.The assumption and inference are verified by numerical simulations.The result can be applied for design of the cubic stiffness for inducing optimal targeted energy transfer in the system of a linear oscillator coupled with a nonlinear energy sink,and the method is also given in the paper.

关 键 词：靶能量传递 非线性耦合振子 立方刚度 非线性振动 非线性动力吸振器 

分 类 号：O328[理学—一般力学与力学基础] O322[理学—力学]