Dynamic Instability Response of Soft Core Sandwich Plates Based on Higher-Order Plate Theory

Abstract

The dynamic stability of the foam-filled sandwich plates under arbitrary periodic loads is studied by using Lo’s high-order shear deformation theory. The periodic load is simulated as a combination of axial stress and bending stress. The governing equations are established based on a perturbation method. Through the derived Mathieu-type equation and using the Bolotin method, the dynamic instability regions are determined by solving the eigenvalue problem. The effects of core thickness, static and dynamic load, and bending stress on the dynamic stability behavior of composite sandwich plates with stiff face sheets and soft foam core are studied. The results reveal that the presented higher-order plate theory adopted gives a better estimate of the dynamic stability of the foam-filled sandwich plate than the first-order plate theory.