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Calculation of single-mode approximation to the limit-cycle solution of a nonlinear wave equation

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Publication:366504
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DOI10.1016/J.MECHRESCOM.2010.04.010zbMath1272.74293OpenAlexW2072484778MaRDI QIDQ366504

Ronald E. Mickens

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641310000546


zbMATH Keywords

approximationnonlinear wave equationaveraginglimit-cycle


Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)





Cites Work

  • A simple model of the growth of wind-induced oscillations in overhead lines
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