Lateral Vibrations of L-Bar

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  • L形はり(固定-自由)の横振動
  • Lケイハリ コテイ-ジユウ ノ ヨコ シンドウ

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In this paper, the strict solutions are obtained for the L-bar, of which one end is built in and the other free, for the various angles and ratios between the two legs of L-bar. The vibrations are considered in two cases, one of which is the case where the vibration occurs perpendicularly to the plane of L-bar and the other where it occurs in that plane. The method used is that, at first, from the variation calculus and the boundary values which are unknown and assumed some constants, the vibration functions are determined, then, the unknown boundary values are determined to make the Lagrangian minimum, and the frequency equations are obtained. The results are given by the nondimensional frequencies and the comparisons of the experimental data and Rayleigh method are made. Sometimes, the combined vibrations are caused and the reason for it is explained also.

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