The Steady-State Response Analysis of Bistable Piezoelectric Converter

Abstract

The aim of this study is to examine the complicated dynamics behavior of nonlinear vibrations of bistable cantilevered piezoelectric beam. The base excitation on the beam is assumed to be harmonic load. The Galerkin’s approach is adopted to disperse the energies and the virtual work. Dynamic equation of the bistable piezoelectric system is established by using Hamilton’s principle. The averaged equations in the polar form is obtained by using the method of multiple scales. Based on the actual work situation of the cantilevered piezoelectric beam, it is known that base excitation and the size parameter of the beam play the important roles in the nonlinear vibration of the cantilevered piezoelectric beam. The quality of the permanent magnet, the thickness of the base layer and the length of the beam all affect the amplitude of the beam. The thickness of the piezoelectric layer can make the frequency response curve shift in frequency domain.