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Effect of axisymmetric imperfection amplitude and wavelength on buckling loads of axially compressed elastic cylindrical shells

From Tennyson, et al
The "extended" Koiter theory (1963) for axisymmetrically imperfect, axially compressed cylindrical shells is used to obtain the plots. See:
Koiter, W. T., “The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression”, Koninkl. Nederl. Akademie van Wetenschappen, Amsterdam, Ser. B, Vol. 66, No. 5, 1963

The greatest sensitivity of the buckling load factor, Lambda, to the normalized amplitude of the axisymmetric axially sinusoidally varying imperfection occurs when the axial wavelength of the imperfection is about half the axial wavelength of the theoretical critical axisymmetric buckling mode of the perfect shell.

The inset numbers on the plot are the ratios of the axial wavelength of the imperfection to the axial wavelength of the critical theoretical axisymmetric buckling mode of the perfect shell.

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