せん断座屈した長方形パネルのランダム加振に対する非線形応答の解析

書誌事項

タイトル別名
  • An Analytical Study of Nonlinear Response of Shear Buckled Rectangular Panels to Random Excitation
  • センダン ザクツシタ クケイ パネル ノ ランダム カシン ニ タイスル ヒセ

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説明

Probabilistic properties of nonlinear response of panels buckled by shear deformation to random excitation are studied in the use of a simulation method to disclose the effects of shear buckling and antisymmetric mode on the sonic fatigue. Simultaneous nonlinear vibrational equations where the effect of shear buckling is considered are derived in the use of a variational principle derived from the principle of virtual work with the aid of the LAGRANGE multiplyer method. These equations are solved numerically by NEWMARK's β method. The fatigue life is calculated with a cumulative damage rule. These results show that the effects of shear buckling are remarkable. When the sound pressure is small, the panel vibrates in the vicinity of the statically equilibrium point after buckling. When the pressure becomes large, the panel sometimes jumps to another equilibrium point on the opposite side. When the pressure is very large, the panel vibrates almost always through zero deflection with large amplitude like a flat panel. Namely, the larger the pressure becomes, the smaller the effect of shear buckling on the response of the deflection becomes. However the effect on the response of the strain does not become small. The fatigue life is greatly shortened by shear buckling for each pressure level.

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