周期横荷重を受ける変断面ばりの非線形振動

概要

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Theoretical analyses are presented for nonlinear bending vibrations of beam having variable cross sections subjected to periodic lateral forces, considering the effects of initial static deflection and axial displacement. By use of the Galerkin procedure, assuming the form function which is composed of the finite power series and the trigonometrical function, basic equations are reduced to coupled nonlinear ordinary differential equations. The steady state harmonic solution is obtained with harmonic balance method. Numerical calcuations are carried out for the six degrees of freedom, nonlinear responses of principal, super-harmonic and subharmonic vibration are determined for various shapes of the beam, with initial deflection and axial displacement. Especially, the characteristic features of the principal responses with the asymmetric mode of vibration are clarified.
一般社団法人日本機械学会の論文
1986-07-25