Abstract
A multiple scale perturbation technique is used with a two parameter expansion to find an asymptotic solution of Reissner's finite deformation equations for edge loaded shells of revolution. Beyond the assumptions of Reissner's differential equations, it is assumed that (1) the rotations of meridian elements are finite but not excessively large, (2) the edge loading is symmetric and non-axial, (3) the geometric variations in the differential equations are of order one, (4) the loaded edge of the shell is well removed from the axis of revolution and (5) the boundary layer behavior to a first approximation is of the linear bending type. An asymptotic solution is then found which is uniformly valid in that it contains boundary layer effects and corrections for extending the analysis into the shell's interior. Upon considering certain limits, it is observed that the solution contains well established linear and non-linear approximations of the solution.
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