On the analytical approximation of damped oscillations of autonomous single degree of freedom oscillators

DOI10.1016/j.ijnonlinmec.2007.01.002zbMath1160.34320OpenAlexW2094694777MaRDI QIDQ1018857

Serge Bruno Yamgoué, Timoléon Créprin Kofané

Publication date: 22 May 2009

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2007.01.002

zbMATH Keywords

perturbation methodLindstedt-Poincaré methodKrylov-Bogoliubov-Mitropolsky methoddamping forcessingle degree of freedom systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (5)

Construction of approximate analytical solutions to strongly nonlinear damped oscillators ⋮ On the harmonic balance with linearization for asymmetric single degree of freedom non-linear oscillators ⋮ Parametric disorder effects on a subcritical stationary bifurcation under nonlinear gradient term ⋮ An analytical technique to find approximate solutions of nonlinear damped oscillatory systems ⋮ HARMONIC BALANCE FOR NON-PERIODIC HYPERBOLIC SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

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