Influence of parameters of a piezoelectric nonlinear energy sink on targeted energy transfer characteristic

Abstract

In the coupling system of elastic plate and piezoelectric nonlinear energy sink, the shunt circuit of piezoelectric material as a nonlinear energy sink (NES) is coupled with the main system, where the nonlinear stiffness and damping are realized by the shunt circuit of piezoelectric material. The targeted energy transfer (TET) characteristics of the system are analyzed by complexification-averaging method and harmonic balance method, the variation range of NES parameters is determined, and the slow invariant manifold, platform amplitude of the frequency responses, nonlinear normal modes and threshold interval of the system under different parameters are analyzed. The influences of piezoelectric NES parameters, such as mass ratio, damping and nonlinear stiffness, on the TET characteristics are obtained, and a general criterion for design of piezoelectric NES parameters is proposed.