The non-linear unsymmetrical buckling of circular shallow spherical shells under action of wind load

In this paper, the basic boundary value problems on circular shallow spherical shells in polar coordinates are given from the Marguerre's equations([1]) of shallow shell theory with large displacements and small strains. The boundary value problems are solved by using "the method of two-variable"([3,4]) and "the method of mixing perturbation"([5-7]), and the uniformly valid asymptotic solutions of deflection function and stress function are obtained.