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The theoretical investigation presented here concerns the effect of certain initial deformations on the buckling under axial compression of thin plate structures. A general theory is developed and used to make approximate analyses of the complete cylinder and curved panel. Two extreme cases of the curved panel are treated: (a) uniform longitudinal shortening and, (b) uniform longitudinal stress. Particular attention is paid to the possibility of inducing buckling in a favorable mode, and thus increasing the load which a structure can withstand.

The effect of initial deformations on the behaviour of a cylindrical shell under axial compression