Application of Ultraspherical Polynomials to Nonlinear Forced Oscillations
- 1 March 1967
- journal article
- Published by ASME International in Journal of Applied Mechanics
- Vol. 34 (1) , 223-226
- https://doi.org/10.1115/1.3607636
Abstract
Approximate solutions to the conservative free-oscillation problem were obtained recently [1–4] through the use of ultraspherical polynomials. The present paper extends the technique to forced oscillations governed by x¨+g(x)˙+f(x)=F0sinpt+F1 Very accurate results are obtained either by setting the ultraspherical polynomial index λ = 0 or, better yet, by restricting the choice of λ such that the solution to the forced problem is a perturbation from the nonlinear free oscillation solution. Examples are given.Keywords
This publication has 0 references indexed in Scilit: