Modal Superposition Method for Computationally Economical Nonlinear Structural Analysis

[+] Author and Article Information
V. N. Shah, G. J. Bohm

Westinghouse Electric Corporation, Pittsburgh, Pa. 15230

A. N. Nahavandi

Engineering and Applied Sciences, Columbia University, New York, N. Y. 10027

J. Pressure Vessel Technol 101(2), 134-141 (May 01, 1979) (8 pages) doi:10.1115/1.3454612 History: Received March 28, 1978; Revised November 20, 1978; Online October 25, 2010


A modal superposition method for analyzing nonlinear structural dynamic problems involving impact between components is developed and evaluated. The finite-element method is used to express the equations of motion with nonlinearities represented by pseudo force vector. Three test problems are solved to verify this method. This has demonstrated the applicability of this method to seismic analysis of large, complex structural systems. It is concluded that the modal superposition method has a significant cost advantage over the direct integration method for problems with large wave fronts and the source of nonlinearities restricted to a limited portion of the structure.

Copyright © 1979 by ASME
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