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

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.