Affiliation:
1. Department of Engineering Mechanics, University of Michigan, Ann Arbor, Mich.
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.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
15 articles.
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