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A RATIONAL HARMONIC BALANCE APPROXIMATION FOR THE DUFFING EQUATION OF MIXED PARITY

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Publication:2880743
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DOI10.1006/jsvi.1997.1178zbMath1235.70162OpenAlexW2150716008MaRDI QIDQ2880743

Maddipati Srinivasa Sarma, B. Nageswara Rao

Publication date: 16 April 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jsvi.1997.1178



Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99)


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On the solution of strong nonlinear oscillators by applying a rational elliptic balance method ⋮ Exact solution of the quadratic mixed-parity Helmholtz-Duffing oscillator ⋮ Homotopy-perturbation method for pure nonlinear differential equation ⋮ Multiple-parameters technique for higher accurate numerical solution of Duffing-harmonic oscillation ⋮ A successive integration technique for the solution of the Duffing oscillator equation with damping and excitation ⋮ Higher-Order Approximate Solutions to a Strongly Nonlinear Duffing Oscillator



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