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THE USE OF MATHEMATICA FOR THE ANALYSIS OF STRONGLY NONLINEAR TWO-DEGREE-OF-FREEDOM SYSTEMS BY MEANS OF THE MODIFIED LINDSTEDT–POINCARÉ METHOD

✍ Scribed by C. Franciosi; S. Tomasiello

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
187 KB
Volume
211
Category
Article
ISSN
0022-460X

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✦ Synopsis

An automatic code is proposed for the perturbation analysis of strongly non-linear two-degree-of-freedom systems with cubic non-linearities. The recently proposed [1] modified Lindstedt-Poincare´method is adopted, both because of its excellent performance and of its straightforward implementation. The symbolic software Mathematica is used in order to speed up all the cumbersome algebra which is inherent to every perturbation method.

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