摘要
建立了磁场力作用下双稳态屈曲梁发电结构非线性动力学方程,利用Galerkin离散和多尺度方法分别分析了一阶离散和二阶离散系统的非线性动力学特性.分析了系统阻尼、外激励幅值和外激励频率对该发电结构振动特性的影响,获得了频率响应曲线;分析了系统在1∶2内共振情况下动力学行为,数值结果表明系统存在倍周期运动和混动运动.
In this paper, the nonlinear governing equation is firstly established for an energy harvester with bistable buckled beam. The nonlinear vibration response is studied using Galerkin method and the method of multiple scales. The frequency response curves are depicted to examine the influence of excitation frequency and external excitation amplitude on the structural vibration characteristics. Based on energy analysis method （Hamilton′s principle, Galerkin discretization, etc.）, the nonlinear dynamics of the structure are investigated for the case of internal resonance with a ratio of 1 to 2. The numerical results show that periodic motions and chaotic motions occur in this structure system.
出处
《动力学与控制学报》
2016年第6期520-525,共6页
Journal of Dynamics and Control
基金
国家自然科学基金(11272016
11172009
11072008)
北京市科学自然科学基金(3122009)
北京市教委科研项目
北京工业大学人才项目的资助项目~~
关键词
双稳态
屈曲梁
压电发电
非线性动力学
bistable, buckled beam, energy harvester, nonlinear dynamics
