The complete bifurcation structure of nonlinear boundary problem for cylindrical panel subjected to uniform external pressure
The present paper presents the complete bifurcation structure of nonlinear boundary problem of thin-walled systems for cylindrical panel subjected to uniform external pressure. We examine various boundary conditions on straight edges (free, simply supported, rigidly clamped edges, edges with prescribed fixed joint conditions); curvilinear edges are simply supported. To construct solutions of the boundary problem in question and to trace equilibrium paths, we employ the non-linear extended Kantorovich method in conjunction with a conventional path-tracing technique. The structure has bifurcation paths associated with symmetric, skew-symmetric, asymmetric, and snap-through deformed shapes that provides a basis for analysis of the worst shape imperfections.
The complete bifurcation structure for cylindrical panel under uniform pressure.
That is a sound basis to determine the worst shape imperfection.
The extended Kantorovich method to construct the complete bifurcation structures.