DYNAMIC LARGE DEFLECTION ANALYSIS OF ELASTIC - PLASTIC MINDLIN CIRCULAR PLATES

The dynamic behavior of moderately thick elastic-plastic circular plat es has been investigated within the context of the geometrical non-lin ear version of the Mindlin plate theory. For this purpose, an algorith m is developed based on the pseudo-normal mode superposition method. T he plastic yielding is controlled by the von Mises yield criterion. In each time subinterval the non-linear terms are grouped together with external loads and the pseudo-loads so-obtained are interpolated by a quadratic polynomial of time and are determined by an iterative proced ure. The numerical examples of the forced axisymmetric vibrations of s imply supported and clamped plates subjected to a different type of pu lse loads clarify the influence of the material and geometrical non-li nearities on the plate response.