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

An artificial parameter Linstedt–Poincaré 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 m...

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Veröffentlicht in:	Journal of sound and vibration 2008-12, Vol.318 (4), p.1281-1290
1. Verfasser:	Ramos, J.I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Amplitudes Dependent variables Exact sciences and technology Fundamental areas of phenomenology (including applications) Harmonics Nonlinearity Oscillators Perturbation methods Physics Renovating Solid mechanics Structural and continuum mechanics Vibration Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Beschreibung
Zusammenfassung:	An artificial parameter Linstedt–Poincaré 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.
ISSN:	0022-460X 1095-8568
DOI:	10.1016/j.jsv.2008.05.004