Solution of a Duffing-harmonic oscillator by the method of harmonic balance

From MaRDI portal
Publication:2899257

DOI10.1016/j.jsv.2005.12.025zbMath1243.34049OpenAlexW1996951748MaRDI QIDQ2899257

Hui Hu, Jihua Tang

Publication date: 28 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.jsv.2005.12.025




Related Items (31)

Predicting homoclinic and heteroclinic bifurcation of generalized Duffing-harmonic-van der Pol oscillatorAnalytical approximations for a conservative nonlinear singular oscillator in plasma physicsIterative homotopy harmonic balance approach for determining the periodic solution of a strongly nonlinear oscillatorAn artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearitiesSingularity analysis of Duffing-Van der Pol system with two bifurcation parameters under multi-frequency excitationsAnalytical solutions of a generalized Duffing-harmonic oscillator by a nonlinear time transformation methodOn the analytical approximation of the quadratic non-linear oscillator by modified extended iteration methodApproximate analytical solutions to a conservative oscillator using global residue harmonic balance methodRational harmonic balance based method for conservative nonlinear oscillators: application to the Duffing equationApplication of He's homotopy perturbation method to conservative truly nonlinear oscillatorsOn the multi-mode behavior of vibrating rods attached to nonlinear springsA finite extensibility nonlinear oscillatorApplication of a modified rational harmonic balance method for a class of strongly nonlinear oscillatorsHarmonic balancing approach to nonlinear oscillations of a punctual charge in the electric field of charged ringOn the variational iteration method and other iterative techniques for nonlinear differential equationsApplication of He's energy balance method to Duffing-harmonic oscillatorsAn explicit approximate solution to the Duffing-harmonic oscillator by a cubication methodThe period function and the harmonic balance methodGlobal residue harmonic balance method for Helmholtz-Duffing oscillatorIterative homotopy harmonic balancing approach for conservative oscillator with strong odd-nonlinearityApproximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance methodHomotopy perturbation method for a conservative \(x^{1/3}\) force nonlinear oscillatorApproximate solutions of a nonlinear oscillator typified as a mass attached to a stretched elastic wire by the homotopy perturbation methodOn nonlinear oscillation response of a negatively dissipated oscillator and its analogy to long Josephson junctionApplication of a modified He's homotopy perturbation method to obtain higher-order approximations of an \(x^{1/3}\) force nonlinear oscillatorApplication of the global residue harmonic balance method for obtaining higher-order approximate solutions of a conservative systemNonlinear transversely vibrating beams by the improved energy balance method and the global residue harmonic balance methodAPPROXIMATE ANALYTICAL SOLUTIONS FOR THE RELATIVISTIC OSCILLATOR USING A LINEARIZED HARMONIC BALANCE METHODSolution of nonlinear cubic-quintic Duffing oscillators using He's energy balance methodHomotopy analysis approach to Duffing-harmonic oscillatorAlmost periodic solutions by the harmonic balance method




This page was built for publication: Solution of a Duffing-harmonic oscillator by the method of harmonic balance