ラプラス変換の振動系,梁,積分方程式その他への応用第3報 : 梁の横振動への応用(1)

概要

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Continued from the preceding reports this offers a few illustrations and the summary of problems of the transverse vibration of basic beams (simple beam, cantilever, fixed beam) subjected to a concentrated load such as a periodic load P_0sinωt, an impulsive one P_0u'(t), and a rapid one P_0u(t). The equation of the transverse vibration of a beam forms a partial differential equation with x and t as independent variables, where x and t represent displacement and time respectively. The Laplace transform is first applied with t and the partial differential equation is reduced to an ordinary differential equation of the t-transform y^^-(x, s) and x. The general solution of the equation is then fitted to the boundary conditions of the beam determined only by supporting conditions. The final solution y(x, t) which represents deflection is obtained as the sum of residues by the application of the complex inversion integral.
宇部工業高等専門学校の論文
1970-07-25