Chaotic Dynamics of Non-Autonomous Nonlinear System for a Sandwich Plate with Truss Core

Abstract

This paper deals with the multi-pulse chaotic dynamics of a sandwich plate with truss core under transverse and in-plane excitations. In order to analyze the complicated nonlinear behaviors of the sandwich plate model by means of the improved extended Melnikov technique, the two-degrees non-autonomous system is transformed into an appropriate form. Through theoretical analysis, the sufficient conditions for the existence of multi-pulse homoclinic orbits and the criterion for the occurrence of chaotic motion are obtained. The damping coefficients and transverse excitation parameters are considered as the control parameters to discuss chaotic behaviors of the sandwich plate system. Numerical results and the maximal Lyapunov exponents are performed to further test the existence of the multi-pulse jumping orbits. The theoretical predictions and numerical results demonstrate that the chaos phenomena may exist in the parametrical excited sandwich plate.