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

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (17) : 225-229.

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

WANG Zuyao1,DING Hu2,CHEN Liqun2,3

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Abstract

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.

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nonlinear / multi-frequency excitation / magnetic levitation / energy harvesting / harmonic balance

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WANG Zuyao1,DING Hu2,CHEN Liqun2,3. Modeling of a magnetic levitation energy harvesting system attaching a linear oscillator under multi-frequency excitation and its output power’s influencing parametric analysis[J]. Journal of Vibration and Shock, 2018, 37(17): 225-229

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