An analytical approximation method for strongly nonlinear oscillators

DOI10.1155/2012/958121zbMath1334.70037DBLPjournals/jam/WangY12OpenAlexW1979821120WikidataQ58907007 ScholiaQ58907007MaRDI QIDQ411135

Lechang Yang, Shi-Min Wang

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/958121

zbMATH Keywords

analytical methodamplitude-frequency characteristicfree/forced oscillators with nonlinear restoring forcephase-frequency characteristic

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Forced motions for nonlinear problems in mechanics (70K40) Free motions for nonlinear problems in mechanics (70K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• Forced oscillators with non-linear spring: a simple analytical approach
• A new analytical approximation to the Duffing-harmonic oscillator
• Application of He's parameter-expansion method for oscillators with smooth odd nonlinearities
• An explicit approximate solution to the Duffing-harmonic oscillator by a cubication method
• An analytical approximate technique for a class of strongly non-linear oscillators
• A general solution of the Duffing equation
• Variational approach for nonlinear oscillators
• Frequencies of oscillators with fractional-power non-linearities
• Parametric excitations of linear systems having many degrees of freedom
• Unnamed Item

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