On the use of two classical series expansion methods to determine the vibration of harmonically excited pure cubic oscillators

DOI10.1016/j.physleta.2008.03.019zbMath1220.34055OpenAlexW2072588626WikidataQ107163492 ScholiaQ107163492MaRDI QIDQ637948

Michael J. Brennan, Ivana Kovacic

Publication date: 6 September 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.03.019

zbMATH Keywords

expansionamplitude-frequency responsestrong non-linearity

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (3)

Forced pure nonlinear symmetrical oscillators ⋮ Sensitivity analysis of primary resonances and bifurcations of a controlled piecewise-smooth system with negative stiffness ⋮ Wave boundary control method for vibration suppression of large net structures

Cites Work

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• Remarks on the perturbation process for certain conservative systems
• A classical perturbation technique that works even when the linear part of restoring force is zero
• Comparison of two Lindstedt–Poincaré-type perturbation methods
• Finite element analysis of nonlinear oscillators
• A Perturbation Technique that Works Even When the Non-Linearity is Not Small
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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