Application of the variational iteration method to some nonlinear one-dimensional oscillations

DOI10.1007/s11012-007-9086-2zbMath1238.70018OpenAlexW1986885854MaRDI QIDQ1027900

Nicolae Herişanu, Vasile Marinca, Constantin Bota

Publication date: 30 June 2009

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-007-9086-2

zbMATH Keywords

periodic solutionsnonlinear dynamicsnonlinear equationsvariational iteration method

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Computational methods for problems pertaining to mechanics of particles and systems (70-08)

Related Items (10)

Convergence of variational iteration method for second-order delay differential equations ⋮ Periodic solutions for certain non-smooth oscillators by iterated homotopy perturbation method combined with~modified Lindstedt-Poincaré technique ⋮ Variational iteration method for singular perturbation initial value problems ⋮ Limit cycle analysis of nonsmooth aeroelastic system of an airfoil by extended variational iteration method ⋮ Explicit analytical approximation to large-amplitude non linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia ⋮ An optimal iteration method for strongly nonlinear oscillators ⋮ Variational iteration method for singular perturbation initial value problems with delays ⋮ Local fractional variational iteration method for local fractional Poisson equations in two independent variables ⋮ Determination of periodic solutions for nonlinear oscillators with fractional powers by He's modified Lindstedt-Poincaré method ⋮ Modeling of the vehicle shimmy system with consideration of clearance of the steering linkage mechanism

Cites Work

• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method -- some recent results and new interpretations
• A Galerkin approach for power spectrum determination of nonlinear oscillators
• An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations
• A modified perturbation technique depending upon an artificial parameter
• A method for obtaining approximate analytic periods for a class of nonlinear oscillators

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