Probabilistic response analysis of nonlinear vibration energy harvesting system driven by Gaussian colored noise

摘要

Highlights?A quasi-conservative stochastic averaging method is proposed for nonlinear energy harvesting systems with Gaussian colored noise.?A transformation combined with the residual phase is used to transformation the electromechanical equations to a single degree of freedom system, which contains the energy-dependent frequency function.?The analytical results are supported by the Monte Carlo simulations.AbstractA new quasi-conservative stochastic averaging method is proposed to analyze the Probabilistic response of nonlinear vibration energy harvesting (VEH) system driven by exponentially correlated Gaussian colored noise. By introducing a method combining a transformation and the residual phase, the nonlinear vibration electromechanical coupling system is equivalent to a single degree of freedom system, which contains the energy-dependent frequency functions. Then the corresponding drift and diffusion coefficients of the averaged It展开▼