Affiliation:
1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong
Abstract
In this paper, we apply a new analytical technique for nonlinear problems, namely the Homotopy Analysis Method (Liao 1992a), to give two-period formulas for oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. These two formulas are uniformly valid for any possible amplitudes of oscillation. Four examples are given to illustrate the validity of the two formulas. This paper also demonstrates the general validity and the great potential of the Homotopy Analysis Method.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
154 articles.
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