The energy harvesting performance of a flutter-based aeroelastic piezoelectric energy harvester with freeplay nonlinearity, subjected to random airflow disturbances, was investigated herein. A high-dimensional multistable system reduced-order analysis method is employed to simplify the nonlinear stochastic dynamic equations of the energy harvester. Exploiting freeplay nonlinearity to induce a subcritical Hopf bifurcation reduces the cut-in wind speed of the energy harvester. The effects of the freeplay size and the nonlinear torsional stiffness coefficient on the output voltage are analyzed. The probability density function of the steady-state system response is derived using the stochastic averaging method and validated numerically with the Monte Carlo method. Finally, the influence of random airflow disturbances on the stochastic dynamic response and the energy harvesting performance of the system is investigated.
Hao et al. (Mon,) studied this question.
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