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Modified Lindstedt–Poincare methods for some strongly non-linear oscillations: Part I: expansion of a constant by Ji-Huan He is a Engineering article available to read on EtoBox.

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In this paper, a modi"ed Lindstedt}Poincare method is proposed. In this technique, a constant, rather than the non-linear frequency, is expanded in powers of the expanding parameter to avoid the occurrence of secular terms in the perturbation series solution. Some examples are given here to illustrate its e!ectiveness and convenience. The results show that the obtained approximate solutions are uniformly valid on the whole solution domain, and they are suitable not only for weakly non-linear systems, but also for strongly non-linear systems.

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Author

Ji-Huan He

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7462)

Published

2002

Language

EN

Field

Engineering (Physical Sciences)