有限長さの弾性固定を受ける棒の横振動

概要

論文の詳細を見る
In the ordinary theory of lateral vibration of beam, the boundary conditions were given, hitherto, at a point or points. But in the practical problems, such as the shaft supported by bearings, or the column built in the foundation, it must be pointed out that the beam can be considered clamped in the elastic support or supports of finite length. The object of the present paper is to give some corrections to the foregoing theory from the above-mentioned point of view. The results may be sumarized as follows : (1) The inertia-and elastic effects of support can be represented by introducing the inertia and elastic terms into the vibrational equation of bar. (2) The well-known formulae for the frequencies of bar under several boundary conditions are entirely included in the present theory as special cases. (3) The increase (or decrease) of stiffness and length of the elastic support raise (or lower) the frequencies, if the total length of beam is kept constant. (4) The Okumura-lkeda's theory, in which the effect of elastic support is treated merely as statical constraints, agrees with the present theory, only if the length of the support is very short, and only when the fundamental vibration is concerned. (5) The results of model experiment are in good accordance with the analysis.
一般社団法人日本機械学会の論文
1951-12-20