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.
On the Use of Nonsinusoidal Approximating Functions for Nonlinear Oscillation Problems
Division of Engineering Mechanics, Stanford University, Stanford, Calif.
P. R. Cobb
Arizona State University, Tempe, Ariz.
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Klotter, K., and Cobb, P. R. (September 1, 1960). "On the Use of Nonsinusoidal Approximating Functions for Nonlinear Oscillation Problems." ASME. J. Appl. Mech. September 1960; 27(3): 579–583. https://doi.org/10.1115/1.3644044
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