Buckling of Orthotropic Circular Plates
Exact closed form solutions in terms of Bessel and Lommel functions are obtained for the symmetric buckling of cylindrically aeolotropic circular plates. Closed form solutions are also obtained for the first asymmetric mode of buckling. Further, a series solution is proposed for higher asymmetric modes of buckling. On the basis of the closed form solutions, simple characteristic expressions to determine buckling loads are developed for fixed and supported edge conditions. The numerical results are compared with those previously obtained from series solutions.