Nonlinear Dynamic Analysis of Axisymmetric Solids by the Finite Element Method

[+] Author and Article Information
M. Hartzman

University of California, Lawrence Livermore Laboratory, Livermore, Calif.

J. Pressure Vessel Technol 96(2), 103-112 (May 01, 1974) (10 pages) doi:10.1115/1.3454148 History: Received March 26, 1974; Online October 25, 2010


A method for calculating the dynamic response of deformable axisymmetric solids, subjected to time-dependent axisymmetric loads is described. The nonlinearities considered in this analysis include material nonlinearity (elastic-plastic behavior) and geometric nonlinearity, which includes finite deformation. The finite-element method is applied to approximate the continuum by a lumped-mass system connected by axisymmetric elements. The equations of motion are solved by applying a step-by-step numerical technique. The analysis is illustrated by application to the collapse of a built-in spherical dome with varying thickness and to the impact of a cylinder against a rigid wall. Close agreement is obtained between the results from the present technique and results obtained from the literature.

Copyright © 1974 by ASME
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