The buckling pressures of simply-supported eylindrical shells subjected to linearly-varying lateral pressure are analysed for the cases (a) under lateral pressure only and (b) under combined lateral and axial pressures. The buckling pressures and the numbers of circumferential lobes are obtained by use of the stationary principle of total potential energy with parameters of R/t and L/R, where L, R and t are axial length, radius and thickness of cylindrical shell, respectively. It is natural that the superposition of axial pressure upon lateral pressure decreases the buckling values, but it has no appreciable effect except for extremely short and thick cylinders. The buckling pressures under linearly-varying lateral pressure are a little small compared with those under uniform lateral pressure which is equal to the average value of linearly-varying lateral pressure. This will be one of useful measures for design purpose.
直線的に変化する外圧による円筒かくの座屈
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