Dynamics & Design Conference
Online ISSN : 2424-2993
セッションID: 110
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110 Parametrically Excited Simply Supported Beam : Formulation by Cosserat Theory and Nonlinear Analysis
In-Soo SonHiroshi Yabuno
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This paper presents the nonlinear characteristics of the parametric resonance of a simply supported beam which is inextensible beam. For the beam model, the order-three expanded equation of motion has been determined in a form amenable to a perturbation treatment. The equation of motion is derived by a special Cosserat theory. The method of multiple scales is used to determine the equations that describe to the first-order modulation of the amplitude of simply supported beam. The stability and the bifurcation points of the system are investigated applying the frequency response function.
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© 2006 一般社団法人 日本機械学会
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