Response of self-excited three-degree-of-freedom systems to multifrequency excitations

DOI10.1007/BF00673984zbMath0760.70014OpenAlexW1989132116MaRDI QIDQ1200441

A. F. El-Bassiouny, A. M. Elnaggar

Publication date: 16 January 1993

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00673984

zbMATH Keywords

multiple scalescombination resonancessteady-state amplitudessub/super/harmonic resonances

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (10)

Parametric excitation of subharmonic oscillations ⋮ Dynamics of a single-degree-of-freedom structure with quadratic, cubic and quartic nonlinearities to a harmonic resonance. ⋮ Periodic and non-periodic combination resonance in kinematically excited system of rods. ⋮ Three-mode interaction in harmonically excited system with cubic nonlinearities. ⋮ Effect of non-linearities in elastomeric material dampers on torsional oscillation control ⋮ Nonlinear stability and chaos in electrohydrodynamics ⋮ Prediction of bifurcations for external and parametric excited one-degree-of-freedom system with quadratic, cubic and quartic nonlinearities ⋮ Response of a three-degree-of-freedom system with cubic non-linearities to harmonic excitation ⋮ Parametrically excited non-linear systems: A comparison of two methods ⋮ Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation

Cites Work

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• Multiple parametric resonance in a non-linear two degree of freedom system
• The response of two-degree-of-freedom systems with quadratic non-linearities to a combination parametric resonance
• The response of multidegree-of-freedom systems with quadratic non-linearities to a harmonic parametric resonance
• Introduction to Non-Linear Mechanics. (AM-11)

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