Prediction of dynamic stability behavior of thin square plates subjected to constant compressive and periodic including constant compressive loads on perpendicular edges

Abstract

The dynamic stability behavior of the square plate subjected to a uniform edge in-plane periodic load, consisting of a constant compressive and periodic load in one direction and a constant compressive load in the perpendicular direction is investigated for the simply supported boundary conditions with varying uniform constant compressive loads, in this paper. The energy method, by using a single term exact trigonometric admissible function to represent the lateral deflection, is employed to obtain the dynamic instability regions. Numerical results are presented in the non-dimensional form with the varying static load parameters and the static compressive load ratios in both the digital and analogue forms. The present results show excellent agreement when compared with that available in the literature. The effect of the static load parameters and the static compressive load ratios on the dynamic instability regions is brought out in the present work.