Combination tones in the response of single degree of freedom systems with quadratic and cubic non-linearities

DOI10.1016/0022-460X(84)90386-9zbMath0538.70026OpenAlexW1969955076MaRDI QIDQ3325108

Ali Hasan Nayfeh

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-460x(84)90386-9

zbMATH Keywords

method of multiple scalessingle-degree-of-freedom systemsingle degree of freedomcombination resonancesfrequency combinationsquadratic plus cubic nonlinearities

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ Resolving controversies in the application of the method of multiple scales and the generalized method of averaging ⋮ Analytical solutions for planar simultaneous resonances of suspended cables involving two external periodic excitations ⋮ Unnamed Item ⋮ Combination resonances in the response of the Duffing oscillator to a three-frequency excitation ⋮ Qualitative analysis of classes of motion for multiresonant systems. I: An algebraic method ⋮ Parametrically excited non-linear systems: A comparison of two methods ⋮ Resonance of multiple frequency excitated systems with quadratic, cubic and quartic nonlinearity

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