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A MODIFIED LINDSTEDT–POINCARE METHOD FOR A STRONGLY NON-LINEAR TWO DEGREE-OF-FREEDOM SYSTEM

✍ Scribed by S.H. Chen; Y.K. Cheung

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
435 KB
Volume
193
Category
Article
ISSN
0022-460X

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✦ Synopsis

A modified Lindstedt-Poincare´(L-P) method for extending the validity of perturbation expansions to strongly non-linear oscillations of two-degree-of-freedom (DOF) systems is presented. A parameter transformation a = a (o, v0, v1) is adopted such that a strongly non-linear system with a large parameter o is transformed into a small parameter system with respect to a: A typical cubic non-linear system in the form of a clamped-hinged beam is used to show its essential features. Three examples are presented to show the efficiency and the advantages of this method.

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