Buckling of Shells: An Old Idea with a New Twist

by John Roorda, Assoc. Prof.; Solid Mechanics Div., Univ. of Waterloo, Waterloo, Canada,

Serial Information: Journal of the Engineering Mechanics Division, 1972, Vol. 98, Issue 3, Pg. 531-538

Document Type: Journal Paper

Discussion: Cheney James A. (See full record)
Closure: (See full record)

Abstract: The erratic buckling behavior of cylindrical shells in axial compression is analyzed using the concept of equivalent imperfections. It is postulated that the sum of all departures from perfection in a real shell can be replaced by a hypothetical axisymmetric imperfection in a corresponding shell of infinite length. The equivalent imperfect is treated as a random variable with a normal distribution whose mean and variance are assumed to be directly proportional to the shell radius to thickness ratio. This leads to a design formula which is compared with the results of some 360 cylinder buckling experiments published elsewhere. An appropriate choice of proportionality constants yields a curve which gives a good lower bound on the experimental buckling loads over the whole range of radius to thickness ratios. An analogy is drawn between the Perry-Robertson strut formula and the one proposed here for cylinders.

Subject Headings: Buckling | Thickness | Cylinders | Structural behavior | Cylindrical shells | Compressive strength | Axisymmetry | Curvature

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