多频激励磁悬浮能量采集

研究多频激励下磁力悬浮非线性磁电能量器采集系统的动力学特性.结合谐波平衡法、牛顿迭代法和弧长延伸法近似分析非线性电力耦合的常微分方程组,研究多简谐频激励下系统的非线性稳态幅频响应特征.通过改变激励的频率,研究磁力悬浮非线性振动能量采集器的幅频特性.研究结果表明,多频激励的稳态幅频响应随非线性系数的增大而位移幅频响应的共振峰变小但带宽变宽.另外,还通过对比电学参数对共振响应幅度以及区域的影响,确定了电阻、电感和耦合系数对增强两个共振强度、扩大两个共振区域,也就是提高能量采集的强度和带宽的影响.数值模拟验证了近似解析分析结果.

Energy harvesting of magnetic levitation under multi-frequency excitations

This paper studies the nonlinear dynamics of a nonlinear energy harvester of magnetic levitation that uses electromagnetic induction to convert vibration into electrical energy under multi frequency excitation. The amplitude frequency response of the energy harvester is investigated by varying the external frequency. The nonlinear equations of electromagnetic mechanic coupling model are approximately analyzed by using the harmonic balance method and arc length method. Through changing the excitation frequency, the characteristics of the steady state amplitude frequency response containing two resonances are studied. The results show that the resonance peak of displacement amplitude frequency response under multi frequency excitation is decreased, but the bandwidth is increased with the increase of nonlinear coefficient. Moreover, the effects of the resistance, inductance and coupling coefficient are investigated to determine the influences of the intensity of energy acquisition and the bandwidth. In addition, the approximate analytic results are verified through direct numerical simulations of up sweep and down sweep.