Combination resonances in the response of the Duffing oscillator to a three-frequency excitation

DOI10.1007/BF01177227zbMath0938.70017MaRDI QIDQ1282175

K. Appert

Publication date: 21 June 2000

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

method of multiple scalesweak nonlinearitycombination resonancemultifrequency excitation

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (6)

A symbolic algorithm for the automatic computation of multitone-input harmonic balance equations for nonlinear systems ⋮ Primary resonance of Duffing oscillator with fractional-order derivative ⋮ Homotopy analysis method for approximations of Duffing oscillator with dual frequency excitations ⋮ Single-mode control and chaos of cantilever beam under primary and principal parametric excitations ⋮ Non-linear forced vibration analysis of nanobeams subjected to moving concentrated load resting on a viscoelastic foundation considering thermal and surface effects ⋮ Analytical solutions for planar simultaneous resonances of suspended cables involving two external periodic excitations

Cites Work

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• Nonlinear oscillations under multifrequency parametric excitation
• Simultaneous resonances in non-linear structural vibrations under two-frequency excitation
• The influence of an internal resonance on non-linear structural vibrations under two-frequency excitation
• The response of two-degree-of-freedom systems with quadratic and cubic non-linearities to multifrequency parametric excitations
• Non-linear structural vibrations under combined parametric and external excitations
• A non-linear analysis of the interactions between parametric and external excitations
• Combination tones in the response of single degree of freedom systems with quadratic and cubic non-linearities
• The subharmonic bifurcation solution of nonlinear Mathieu's equation and Euler dynamic buckling problems

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