Methods for the study of nonlinear continuous systems are discussed using nonlinear planar vibrations of a buckled beam about its first buckled mode shape. Fixed-fixed boundary conditions are considered. The case of primary resonance of the nth mode is investigated. Approximate solutions are obtained by using a single-mode discretization via the Galerkin method and by directly applying the method of multiple scales to the governing integro-partial-differential equation and boundary conditions. Frequency-response curves are generated using both approaches for several buckling levels and are contrasted with experimentally obtained frequency-response curves for two test beams. For odd modes, there are ranges where the computed frequency-response curves are qualitatively as well as quantitatively different. The experimentally obtained frequency-response curves are in agreement with those obtained with the direct approach and in disagreement with those obtained with the discretization approach.
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|Titolo:||Nonlinear response of a buckled beam to a harmonic excitation|
|Data di pubblicazione:||1997|
|Appartiene alla tipologia:||04b Atto di convegno in volume|