L形棒の自由振動(固定-固定)

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書誌事項

タイトル別名
  • The Free Vibrations of L-Bar (Both Ends Built-in)
  • Lケイボウ ノ ジユウ シンドウ コテイ-コテイ

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The free vibrations of the bar bent to L-type (both ends built-in) are discussed. The method used is to minimize Lagrangian which is expressed in terms of the unknown functions and the known and unknown boundary conditions which describe the vibrations. In the case that there are lateral, twisting and longitudinal vibrations at the same time, the unknown vibratory functions are obtained in general forms, and Lagrangian is expressed in the terms of the boundary conditions. Using the known boundary conditions and the conditions of continuity, Lagrangian is expressed in the terms of unkown constants. Then, Lagrangian is again minimized about unknown constants and these constants and the frequency equations are obtained. In the case of L-bar, the frequency equations of both vibrations in the plane of L-bar and perpendicular to that plane are obtained and the numerical calculations are carried out, and the comparison with the contents of papers already published are made.

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