Nonlinear transient dynamic response of damped plates using a higher order shear deformation theory

Abstract

Damped transient dynamic elasto-plastic analysis of plate is investigated. A finite element model based on a C 0 higher order shear deformation theory has been developed. Nine noded Lagrangian elements with five degrees of freedom per node are used. Selective Gauss integration is used to evaluate energy terms so as to avoid shear locking and spurious mechanisms. Von Mises and Tresca yield criteria are incorporated along with associated flow rules. Explicit central difference time stepping scheme is employed to integrate temporal equations. The mass matrix is diagonalized by using the efficient proportional mass lumping scheme. A program is developed for damped transient dynamic finite element analysis of elasto-plastic plate.Several numerical examples are studied to unfold different facets of damping of elasto-plastic plates.

Linear Transient Dynamic Analysis of Plates With and Without Cutout

“…The practical implications here are of importance, as the failure of the structure is most likely to occur when subjected to extremely high transient load. Explosions, impacts, or catastrophic earth tremors can cause such loads, and even though the exact knowledge of the loads may not be available, the responsibility of the engineer for public safety makes it imperative for him to give the matter serious consideration [3][4][5][6]. This paper attempts to investigate the present dynamic behavior of the moderately thick plate in a linear domain.…”