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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

C. Franciosi
S. Tomasiello
Journal / Anthology

Journal of Sound and Vibration
Year: 1998
Volume: 211
Issue: 2
Page range: 145-156

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-Poincaré 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.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Differential Equations