Vibration Analysis and Energy Transmission of Finite Coupled Mindlin Plates

Abstract

Power flow analysis of finite coupled Mindlin plates and energy transmission through the structure are investigated by employing the method of reverberation-ray matrix (MRRM). The rectangular Mindlin plates are connected at an arbitrary angle. Both in-plane and out-of-plane waves propagation solutions are considered by establishing the dual local coordinates in each plate. The boundary conditions at the plate edges, continuous conditions at the driving force locations, and coupling conditions at the line junction between several rectangular plates are established and solved simultaneously. Then the flexural and in-plane vibrations of the finite coupled Mindlin plate are obtained by using the MRRM, which are verified by comparing the results obtained with those by the finite element method (FEM). The vibration behaviors of coupled plates such as L-shaped structure, T-shaped structure and box-shaped structure are calculated and verified.