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

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