Dynamic Stability of Plates Resting on Elastic Foundation

An accurate closed form solution to predict the dynamic stability behaviour of a square plate resting on an elastic foundation subjected to edge periodic loads, has been obtained. The Energy method is applied to solve the dynamic stability problem. A Simple trigonometric function is used to analyse characterize the deflection. Numerical results are presented using proper non-dimensional parameters with varying elastic foundation. The consequences of the foundation on the dynamic stability boundaries is brought out, highlighting the employment of the specific non-dimensional parameters applied in the present work. The effect of the elastic foundation parameter on the regions of dynamic stability is brought in this work.