Response of a three-degree-of-freedom system with cubic non-linearities to harmonic excitation

DOI10.1016/S0096-3003(98)10051-6zbMath0935.70018OpenAlexW2017105203MaRDI QIDQ1294232

A. F. El-Bassiouny

Publication date: 9 May 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)10051-6

zbMATH Keywords

stabilityfixed pointsmethod of multiple scalesautoparametric resonanceslinear natural frequencies

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (4)

Periodic and non-periodic combination resonance in kinematically excited system of rods. ⋮ Three-mode interaction in harmonically excited system with cubic nonlinearities. ⋮ Prediction of bifurcations for external and parametric excited one-degree-of-freedom system with quadratic, cubic and quartic nonlinearities ⋮ Modal interaction of resonantly forced oscillations of two-degree-of-freedom structure.

Cites Work

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• Response of self-excited three-degree-of-freedom systems to multifrequency excitations
• Non-linear vibrations of a harmonically excited autoparametric system
• NONLINEAR INTERACTIONS BETWEEN TWO WIDELY SPACED MODES — EXTERNAL EXCITATION

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