On Nonlinear Bucking Of Symmetrically Laminated, Cylindrically Orthotropic, Truncated Shallow, Conical Shells Under Uniform Pressure Including Transverse Shear

The use of laminated anisotropic composites as structural members, particularly thin plates and shells, has increased considerably. This arises from the fact that, by taking advantage of its anisotropic material properties and light weight with high strength, the materials can be used very efficiently. In this paper, a nonlinear buckling problem of a symmetrically laminated, cylindrically orthotropic, truncated shallow, conical shell with a rigidly clamped outer edge and a nondeformable rigid body at the center under the action of uniform pressure, taking into account the effect of the transverse shear deformation, has been solved by the modified iteration method. On the flexibility assumption, nonlinear equations of the laminated shallow conical shell under uniform pressure are given, and equations of laminated truncated shallow conical shell with the using of equivalent method are received. Finally, the critical bucking pressure is obtained, at the same time, this paper validates the front of theoretical analysis using a numerical example and analyses the possibility of buckling. The paper also considers the influence of geometric parameters, shear stiffness and opening radius of the shell on critical load and so on.