HE'S ITERATION PERTURBATION METHOD TO NONLINEAR OSCILLATIONS OF MECHANICAL SYSTEMS WITH SINGLE-DEGREE-OF FREEDOM

DOI10.1142/S0217979209052406zbMath1167.70329OpenAlexW2013926677MaRDI QIDQ3393361

S. S. Ganji, S. Karimpour, Davood Domairry Ganji

Publication date: 20 August 2009

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979209052406

zbMATH Keywords

equation of motionnonlinear oscillationnonlinear free vibrationiteration perturbation method (IPM)

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items

Numerical solution of pantograph-type delay differential equations using perturbation-iteration algorithms ⋮ He's frequency formulation for nonlinear oscillators using a golden mean location ⋮ Nonlinear dynamic analysis of an electrical machine rotor-bearing system by the optimal homotopy perturbation method ⋮ Application of the modified frequency formulation to a nonlinear oscillator ⋮ New perturbation-iteration solutions for Bratu-type equations ⋮ Investigating the solutions of two classical nonlinear oscillators by the AG method

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