Issues related to modeling imperfections arise when structure is designed for the first time and information on initial imperfections is not available. In most papers related to the stability of structures are considered imperfections, which are known at discrete points. Our task is to find the worst form of imperfections, which gives the greatest decrease in the buckling load of the structure. Criteria are formulated for classifying the four types of critical points: asymmetrical special bifurcation point, symmetrical special bifurcation point of the first or second kind, and limit point. Accounting for the initial imperfections of the structure results in the degeneration of asymmetric and symmetric special bifurcation points into limit points.
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