This paper analytically predicts the existence, stability, and changes due to parameter variations on the different oscillations of a bistable piezoelectric generator. Existing work on this type of system has assumed linear piezoelectric behavior and linear damping and has been confined to numerical studies and experimental explorations. This paper improves upon the previous work by incorporating nonlinear dissipation and cubic softening influences in the electroelastic laminates prior to analytical analysis. This analysis provides a framework for theoretical prediction of a variety of empirical observations including potential well escape and optimum impedance loading.

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