非ガウス性不規則励振を受ける非線形振動エナジーハーベスタの出力電圧の解析

抄録

The vibration energy harvester (VEH) is a device that converts ambient vibration into electrical energy. In this paper, we propose an approximate analytical method to analyze the output voltage variance of nonlinear VEHs under non-Gaussian random excitations. The VEH is an electromechanical system configured as a cantilever beam to which a circuit consisting of a piezoelectric element and a resistor is attached. The non-Gaussian excitation is prescribed by a probability density function and a power spectrum and described by an Itô stochastic differential equation. In the proposed method, moment equations are derived from the governing equations of the VEH and excitation. Then, we apply the equivalent non-Gaussian excitation method and cumulant-neglect closure to obtain closed moment equations approximately. The validity of the method is demonstrated by comparing the analytical and Monte Carlo simulation results. In addition, we show that the difference of excitation non-Gaussianity makes output voltage variance different.