Nonlinear Vibrations of a Simply Supported Rectangular Metallic Plate Subjected to Transverse Harmonic Excitation in the Presence of a One-to-One Internal Resonance |
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| Authors: | Anlas Gunay Elbeyli Ozer |
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| Institution: | (1) Mechanical Engineering Department, Bogazici University, 80815 Bebek, Istanbul, Turkey |
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| Abstract: | The nonlinear response of rectangular and square metallic plates subjectto transverse harmonic excitations is studied. The nonlinearitiesoriginate from the use of Von Kármán strains. The method of multiplescales is used to solve the system of differential equationsapproximately. Frequency response curves are presented for both squareand rectangular plates for primary resonance of either mode in thepresence of a one-to-one internal resonance. Stability of steady statesolutions is investigated. Bifurcation points and their types arediscussed. |
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| Keywords: | nonlinear vibrations metallic plate internal resonance perturbation method of multiple scales bifurcation stability |
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