Accurate higher-order analytical approximate solutions to nonconservative nonlinear oscillators and application to van der Pol damped oscillators
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Publication:986351
DOI10.1016/j.ijmecsci.2005.12.009zbMath1192.70039OpenAlexW2084724642MaRDI QIDQ986351
Publication date: 11 August 2010
Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ijmecsci.2005.12.009
Forced motions for nonlinear problems in mechanics (70K40) Averaging of perturbations for nonlinear problems in mechanics (70K65)
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An effective solution of the cube-root truly nonlinear oscillator: extended iteration procedure ⋮ Construction of approximate analytical solutions to strongly nonlinear damped oscillators ⋮ An analytical technique to find approximate solutions of nonlinear damped oscillatory systems ⋮ Approximate solutions to Van der Pol damped nonlinear oscillators by means of He's energy balance method ⋮ On nonlinear oscillation response of a negatively dissipated oscillator and its analogy to long Josephson junction ⋮ A new method based on the harmonic balance method for nonlinear oscillators ⋮ A new modification of He's homotopy perturbation method for rapid convergence of nonlinear undamped oscillators ⋮ Solution of nonlinear cubic-quintic Duffing oscillators using He's energy balance method
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