The Nonlinear Dynamic Analysis of Shells of Revolution With Asymmetric Properties by the Finite Element Method

Abstract

A large deflection elastic-plastic analysis for general structures by the finite element method is presented. A Von Mises yield condition, its associated flow rule, and isotropic hardening are assumed. Nonlinear forces, due to nonlinear strain-displacement relations, plastic strains, and thermal gradients are developed for static and dynamic analyses and specialized for shell of revolution finite elements with asymmetric properties. The nonlinear dynamic equations are converted to a linear finite difference matrix equation, based on a nonlinear form of the Newmark Beta time integration method. A computer program, SABOR/DRASTIC 6, is used to demonstrate static, dynamic, and dynamic buckling solutions containing large deflection elastic-plastic response of shells with asymmetric properties and loads.