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RESEARCH PAPERS

On the Use of Nonsinusoidal Approximating Functions for Nonlinear Oscillation Problems

[+] Author and Article Information
K. Klotter

Division of Engineering Mechanics, Stanford University, Stanford, Calif.

P. R. Cobb

Arizona State University, Tempe, Ariz.

J. Appl. Mech 27(3), 579-583 (Sep 01, 1960) (5 pages) doi:10.1115/1.3644044 History: Received April 30, 1959; Online September 16, 2011

Abstract

When treating nonlinear oscillation problems by the Ritz-Galerkin method the approximating function is conventionally chosen as a sinusoid or a polynomial of sinusoids with their amplitudes as the open parameters. In this paper the advantages are pointed out that may be gained from choosing a nonsinusoidal approximating function that contains additional parameters related to the shape of the function.

Copyright © 1960 by ASME
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