曲がり部に集中荷重をもつU形わく組の振動

概要

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The vibrations of a U-type frame work which consists of three straight bars and has a concentrated load at each bend are studied The frame work is in a plane and symmetric about its midsection. The centre of gravity of the concentrated load coincides with the point of the bend of the U-type frame work.　The Lagrangian of this frame work is equal to the Lagrangian of the three straight bars plus the Lagrangian of the two concentrated loads. The frequency equations and the boundary values are obtained by minimizing the Lagrangian with respect to the unknown boundary values. The vibrations in the plane of the frame work and in the direction perpendicular to its plane are respectively divieded into the symmetric vibrations and the anti-symmetric. Accordingly, the vibrations of this system are classified into four sorts of the normal vibrations.　The fundamentaI nondimensional frequencies of each normal vibration are calculated and shown in graphs. The experiments are carried out and their results are compared with theoretical ones.
山形大学の論文
1967-01-20