Iteration method solutions for conservative and limit-cycle x1/3 force oscillators

An iterative technique is used to calculate a higher-order approximation to the periodic solutions of a conservative oscillator for which the elastic force term is proportional to x1/3. The related van der Pol-type limit-cycle oscillator is also studied.

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Bibliographic Details
Published in:Journal of sound and vibration 2006-05, Vol.292 (3-5), p.964-968
Main Author: MICKENS, R. E
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Online Access:Get full text
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Description
Summary:An iterative technique is used to calculate a higher-order approximation to the periodic solutions of a conservative oscillator for which the elastic force term is proportional to x1/3. The related van der Pol-type limit-cycle oscillator is also studied.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2005.08.020