Nonlinear dynamic analysis for a rectangular HSLA steel plate subjected to low velocity impact

Abstract

Based on the von Karman equation and classical theory of thin plates, a set of nonlinear governing equations for a rectangular high strength low alloy (HSLA) steel plate subjected to low velocity impact is deduced, they are expressed with displacements of the mid-plane for the HSLA steel plate. By using the finite difference method and the Newmark method, the unknown variable functions are discretized in the space and time domains, the whole problem is solved by the iterative method synthetically. Numerical results denote that the thickness to length ratio, boundary conditions and initial impact velocity of the impactor have great influences on the nondimensional deflection and normal stress of the HSLA plate that subjected to low velocity impact, moreover, the initial impact velocity affects a lot on the contact force.