矩形板の屈曲及振動に就て(第二囘工學會大會總會に於ける造船協會代表講演)

概要

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The problem of the bending of a rectangular plate 2a×2b×2h clamped at its four edges (or clamped at the two opposite edges and supported at the other) and loaded with a uniformly distributed pressure is solved from the differential equation, assuming the deflection to be [numerical formula] where m and n are positive odd integers. The bending moments at several points and the deflection at the centre are calculated for rectangular plates with various ratios of b/a by the second approximation, taking the first double series and the first two terms of each of the single series, in which a high degree of perfection in clamping, especially on the middle half length, is attained. The solution for the transverse vibration of the same plate is also obtained to satisfy the differential equation, using a similar form for the normal function as in the case of bending. Frequencies for different values of b/a are calculated and compared with those obtained by other methods.
社団法人日本船舶海洋工学会の論文
1932-10-30