Dynamic Response of In-plane Pre-stressed Sandwich Panels with a Viscoelastic Flexible Core and Different Boundary Conditions

Abstract

A new mathematical method and double Fourier series set of functions is developed to find out the local and global transverse and in-plane mode shapes, damped natural frequencies and modal loss factors in composite sandwich panels with multilayered laminated face sheets, viscoelastic flexible core and arbitrary boundary conditions. An improved high order sandwich plate theory (IHSAPT) is applied to investigate the dynamic behavior of fiber reinforced plastic (FRP) sandwich thin and thick panels. The present analysis is very general and valid for any type of core, any type of boundary conditions as well as for the cases where the conditions at the upper face sheet are different from those at the lower one along the same edge. Interaction between static in-plane initial stress and dynamic response of a sandwich panel are studied in this article. For different boundary conditions, solutions are obtained using the simple proposed identical double Fourier series functions and Stokes’s transformation technique. The effect of some parameters such as panel aspect ratio, thickness of core-thickness of panel ratio, and initial in-plane stresses on dynamic response of composite sandwich panel are discussed and studied in detail.