He's ENERGY BALANCE AND He's VARIATIONAL METHODS FOR NONLINEAR OSCILLATIONS IN ENGINEERING

DOI10.1142/S0217979209049644zbMath1165.74325MaRDI QIDQ5322412

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

Publication date: 21 July 2009

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

zbMATH Keywords

approximate solutionsvariational approachnonlinear oscillationenergy balance method (EBM)

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Variational principles of physics (49S05)

Related Items (15)

An approach dealing with inertia nonlinearity of a cantilever model subject to lateral basal Gaussian white noise excitation ⋮ Application of the improved complex normal form method based on He's energy balance method to a noise included nonlinear oscillator ⋮ Nonlinear oscillator with discontinuity by the max-min approach ⋮ A modified stochastic averaging method on single-degree-of-freedom strongly nonlinear stochastic vibrations ⋮ Asymptotic methods for solitary solutions and compactons ⋮ Hamiltonian approach to nonlinear oscillators ⋮ Response of a cantilever model with a surface crack under basal white noise excitation ⋮ Approximate traveling wave solution for shallow water wave equation ⋮ Approximate analysis of two-mass-spring systems and buckling of a column ⋮ Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water ⋮ Periodic solution for strongly nonlinear vibration systems by He's variational iteration method ⋮ Higher-order solutions of coupled systems using the parameter expansion method ⋮ HIGHER-ORDER APPROXIMATIONS OF MOTION OF A NONLINEAR OSCILLATOR USING THE PARAMETER EXPANSION TECHNIQUE ⋮ Uranium mobility in face-centered cubic aluminium driven by interstitial migration ⋮ An improved piecewise variational iteration method for solving strongly nonlinear oscillators

Cites Work

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• Harmonic balance approach to limit cycles for nonlinear jerk equations
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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