A Sparse Matrix Technique for Fundamental Mode Analysis in Power Transmission Systems

[+] Author and Article Information
R. W. McLay

Department of Mechanical Engineering, University of Vermont, Burlington, Vt.

S. H. Burroughs

IBM System Products Division, Essex Junction, Vt.

J. Eng. Ind 96(2), 455-458 (May 01, 1974) (4 pages) doi:10.1115/1.3438351 History: Received June 06, 1973; Online July 15, 2010


A method is presented that allows the rapid prediction of the fundamental frequency and mode shape for a power transmission system. It is based on a programming technique taken from the chemical literature. A sparse matrix procedure is shown which allows efficient programming of this method. A technique for eliminating the rigid-body rotation is illustrated. Numerical results are discussed.

Copyright © 1974 by ASME
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