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An artificial parameter Linstedt–Poincaré method for the periodic solutions of nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable

✍ Scribed by J.I. Ramos

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 171 KB
Volume: 318
Category: Article
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2008.05.004

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✦ Synopsis

An artificial parameter Linstedt-Poincare´method is presented and used to determine the periodic solution of a nonlinear singular oscillator for small and large amplitudes. Comparisons with the results of harmonic balance, two-level iterative, linearized harmonic balance and parameter perturbation methods are presented.

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Harmonic balance approaches to the nonli

Harmonic balance approaches to the nonlinear oscillators in which the restoring force is inversely proportional to the dependent variable

✍ A. Beléndez; D.I. Méndez; T. Beléndez; A. Hernández; M.L. Álvarez 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 143 KB

The second-order harmonic balance method is used to construct three approximate frequency-amplitude relations for a conservative nonlinear singular oscillator in which the restoring force is inversely proportional to the dependent variable. Two procedures are used to solve the nonlinear differential