Nonlinear Dynamic Response of an Elastic-Plastic Thin Plate under Impulsive Loading

摘要

In this paper the effects of the physical and geometrical nonlinearities in a thin plate are treated as equivalent body forces and equivalent loads. Using the concept of influence functions, an analytical method for the thin plate problem with both kinds of nonlinear effects is presented. In theoretical analysis, the influence of plastic region which incremental formula of plastic strain is derived by applying the incremental plastic strain is derived by applying the incremental plastic strain is derived by applying the incremental plastic theory. In the calculation of practical examples, the numerical solutions for nonlinear dynamic responses of an elastic-plastic thin plate are obtained for various hardening coefficients and different impulsive loads, all of the results are quite regular. (Chinese translations).