两自由度磁力悬浮非线性振动能量采集研究

发布时间：2018-03-07 10:03

本文选题：非线性　切入点：振动　出处：《振动与冲击》2016年16期 　论文类型：期刊论文

【摘要】：首次研究通过增加自由度数,扩大磁力悬浮非线性能量采集器的采集区域。通过引入线性弹簧振子,将单自由度非线性磁力悬浮能量采集器扩展到两个自由度。使用谐波平衡法近似分析两自由度非线性常微分方程组,研究位移激励下系统主共振的稳态幅频响应特征。研究结果表明,两自由度系统能够显著扩展系统的共振区域。还通过对比系统各个参数对共振幅频响应幅度以及区域的影响,研究了系统质量比、频率平方比和非线性系数比对增强共振强度、扩大共振区域,也就是提高能量采集的强度和带宽的影响。另外,还通过直接的数值模拟验证了近似解析分析结果的正确性。
[Abstract]:By increasing the number of degrees of freedom, the acquisition area of the magnetic suspension nonlinear energy collector is expanded for the first time. The nonlinear magnetic levitation energy collector with one degree of freedom is extended to two degrees of freedom. The harmonic balance method is used to approximate analyze the nonlinear ordinary differential equations of two degrees of freedom. The characteristics of the steady-state amplitude-frequency response of the main resonance of the system under displacement excitation are studied. The results show that the two-degree-of-freedom system can significantly extend the resonance region of the system, and by comparing the effects of various parameters of the system on the amplitude and region of the co-amplitude frequency response, The effects of mass ratio, frequency squared ratio and nonlinear coefficient ratio on the enhancement of resonance intensity and the expansion of resonance region, i.e. the enhancement of the intensity and bandwidth of energy acquisition, are studied. The approximate analytical results are verified by direct numerical simulation.
【作者单位】：上海大学上海市应用数学和力学研究所;浙江科技学院理学院;上海大学力学系;
【基金】：国家自然科学基金重点项目(11232009) 国家自然基金面上项目(11372171);国家自然基金优青项目(11422214)
【分类号】：O322

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