Fifth Order Analysis in Simply Supported Beam Subjected to Parametric Excitation

Abstract eng:
The nonlinear response in a simply supported beam subjected to parametric excitation is investigated. Taking into account the fifth order nonlinearity of curvature of beams and using Hamilton’s principle, the governing equation of the beam in the lateral direction is derived. Different from usual third order analysis, the accuracy of fifth order for the hysteresis phenomenon in frequency response curve is performed in this presentation. Employing the method of multiple scales, amplitude equation is obtained and the bifurcations in the frequency response curve is clarified.

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