Analytical periodic solution to a generalized nonlinear oscillator: application of He's frequency-amplitude formulation

DOI10.1016/j.mechrescom.2009.10.002zbMath1272.70107OpenAlexW1994170461MaRDI QIDQ366392

Abd Elhalim Ebaid

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/S0093641309001396

zbMATH Keywords

nonlinear oscillatorsperiodic solutionHe's frequency-amplitude formulation

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)

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Cites Work

• He's frequency formulation for the relativistic harmonic oscillator
• He's variational approach for nonlinear oscillators with high nonlinearity
• He's frequency-amplitude formulation for the Duffing harmonic oscillator
• He's frequency-amplitude formulation for nonlinear oscillators with an irrational force
• Periodic solutions for some strongly nonlinear oscillations by He's energy balance method
• Variational approach for nonlinear oscillators
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS