A Method for the Numerical Integration of the Equations of Motion Arising From a Finite-Element Analysis

[+] Author and Article Information
C. C. Fu

Ingersoll-Rand Research, Inc., Princeton, N. J.

J. Appl. Mech 37(3), 599-605 (Sep 01, 1970) (7 pages) doi:10.1115/1.3408586 History: Received August 15, 1969; Revised January 26, 1970; Online July 12, 2010


This paper describes an extended de Vogelaere method which can be used to integrate numerically the equations of motion arising from a finite-element analysis. The method has a truncation error of fifth order in the integration step length, and can be easily programmed for a digital computer. More important is that the method requires a minimum amount of computer storage and computer run time compared with other methods commonly used in numerical analysis and, therefore, is particularly useful in solving a large system of equations. The integration technique has been used to study two-dimensional wave propagation in axisymmetric and plane-strain problems. Results are compared with those of the finite difference and the method of characteristics.

Copyright © 1970 by ASME
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