Periodic solution of sandwich plate with aerodynamic and in-plane force

Abstract

Autonomous systems with periodic solutions are frequently encountered in applications. In this paper, the Melnikov function and the theory of Poincare mapping were obtained for the existence of 2π-periodic solution of the sandwich plate system in 1:2 internal resonances. Moreover, some groups of phase diagrams under different conditions were obtained. This paper reveals the flutter and pneumatic elastic properties of the sandwich plate, and it is expected that the results in this paper could provide the theoretical basis for the design of the composite materials.

Keywords:

• Periodic solution
• Hamiltonian system
• Melnikov function
• Numerical simulation
• Sandwich plate