Abstract
The accuracy of Donnell's equations for the buckling analysis of imperfect (limit point instability), circular, cylindrical, thin orthotropic shells under axial compression is investigated. This is accomplished by comparing critical loads obtained by employing Donnell-type kinematic equations with those based on the more accurate Sanders-type. For this purpose, a solution methodology is developed and described in the body of the paper. This methodology is then employed to generate critical loads for several orthotropic geometries, which cover a wide but practical range of parameters. These include cylinder length to radius ratios, radius to thickness ratios, two positions of the strong direction relative to the cylinder axis (θ=0 and 90°) and two shapes of the initial geometric imperfection, axisymmetric and symmetric. Classical simply supported boundaries are used for all configurations for which results are generated.
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