A multiple times scale solution for non-linear vibration of mass grounded system

DOI10.1016/J.APM.2009.10.009zbMath1193.70016OpenAlexW2036616679WikidataQ56935317 ScholiaQ56935317MaRDI QIDQ988430

A. A. Pasha Zanoosi, A. Shooshtari

Publication date: 26 August 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.10.009

zbMATH Keywords

resonancemultiple scales methodnon-linear vibrationfrequency-responsemass grounded system

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (2)

Methods for solving singular perturbation problems arising in science and engineering ⋮ Free vibration analysis of a structural system with a pair of irrational nonlinearities

Cites Work

• Accurate analytical approximate solutions to general strong nonlinear oscillators
• Large amplitude non-linear oscillations of a general conservative system
• Analytical approximate solutions to oscillation of a current-carrying wire in a magnetic field
• A method for obtaining approximate analytic periods for a class of nonlinear oscillators
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