多频激励下添加线性振子磁悬浮能量采集系统建模及其输出功率影响参数分析  

Modeling of a magnetic levitation energy harvesting system attaching a linear oscillator under multi-frequency excitation and its output power's influencing parametric analysis

作　　者：王祖尧[1] 丁虎[2] 陈立群[2,3] WANG Zuyao;DING Hu;CHEN Liqun(School of Science,Zhejiang University of Science and Technology,Hangzhou 310023,China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China;Department of Mechanics,Shanghai University,Shanghai 200444,China)

机构地区：[1]浙江科技学院理学院,杭州310023 [2]上海大学上海市应用数学和力学研究所,上海200072 [3]上海大学力学系,上海200444

出　　处：《振动与冲击》2018年第17期225-229,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金重点项目(11232009)

摘　　要：研究了通过添加线性振子的磁悬浮非线性能量器采集系统在多频激励下的非线性动力学。通过结合运用谐波平衡法和弧长延伸法,近似解析分析能量采集系统在多频激励下中间磁铁的平均功率辐频响应。并通过直接数值方法验证解析结果。研究结果表明,这种磁悬浮能量采集器在质量比增大时,中间磁铁的平均功率幅频响应的共振峰由两个变为四个共振峰,振幅变小,但共振峰的带宽变宽。另外,通过系统参数分析发现,调节系统参数阻尼比和耦合系数,可以优化共振峰的强度和带宽的宽度,以达到增强振动能量采集效果的目的。Here,nonlinear dynamic behaviors of a magnetic levitation energy harvesting system attaching a linear oscillator were studied under multi-frequency excitation.The nonlinear dynamic equations of this electromagnetic-mechanical coupled model were approximately solved using the harmonic balance method and the arc-length extension method.In addition,the approximate analytical results were verified with a direct numerical simulation.The results showed that with increase in the mass ratio of this energy harvesting system,resonance peaks of its middle magnet’s average power amplitude-frequency response under multi-frequency excitation increase from two peaks to four ones,the resonance peaks’amplitudes decrease,but their bandwidths are wider;adjusting the system’s parametric damping ratio and coupling coefficient can optimize intensities and bandwidths of resonance peaks to enhance the vibration energy harvesting effect.

关 键 词：非线性 多频激励 磁悬浮 能量采集 谐波平衡 

分 类 号：O322[理学—一般力学与力学基础]