期刊
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
卷 37, 期 2, 页码 309-314出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0020-7462(00)00116-5
关键词
perturbation method; non-linear equations; duffing equation; Lindstedt-Poincare method
类别
In this paper, a modified 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 effectiveness 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. (C) 2001 Elsevier Science Ltd. All rights reserved.
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