Abstract
Thin elastic circular rings can be subject to various loading profiles when used to stiffen long pipes or aboveground cylindrical storage tanks. Specific nonuniform loading profiles have been used by many researchers in theoretical analyses. However, real loading patterns may deviate slightly from the theoretical approximation. The sensitivity of rings to initial imperfections is highlighted in this work. This study investigates the effect of small imperfections in nonuniform loading of the cosine form. A Duffing-type nonlinear differential equation was solved using a perturbation technique to describe the effects of a “follower” loading normal to a ring with large deformations. It is found that the lower buckling mode will govern with the existence of any magnitude of imperfection corresponding to the shape of the fundamental mode.
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