Internally Pressurized Thin Unsymmetric Cross-Ply Cantilever Cylindrical Shells

摘要

Solutions to the problems of the deformation of laminated cylindrical shells of finite dimensions must satisfy the prescribed boundary conditions, which introduce complexities that are far more difficult to handle; among them being asymmetrically placed boundary conditions, for example clamped-free conditions. Balara-man et al.obtained closed-form solutions for internally pressurized, asymmetrically laminated, cylindrical shells of finite length under the framework of the classical lamination theory (CLT) and the Love-Timoshenko kinematic relations, although the presented numerical results were for unsymmetric cross-ply shells only. Admissible boundary conditions were derived by Chaudhuri et al.for an arbitrarily laminated, internally pressurized, cylindrical shell of finite length under the framework of Donnell's, Love-Timoshenko's, and Sanders' kinematic relations, and the CLT. Chaudhuri et al.derived a closed-form solution for arbitrarily laminated cylindrical shells with both ends simply supported, and subjected to uniform internal pressure, under the framework of the CLT and Love-Timoshenko's kinematic relations. Abu-Arja and Chaudhuri and Chaudhuri and Abu-Ana presented closed-form solutions of cross-ply and angle-ply cylindrical shells under internal pressure based on the constant shear-angle theory (CST), also known as the first-order shear deformation theory (FSDT). In what follows, a hitherto unavailable closed-form solution for an unsymmetric cross-ply, cantilever, cylindrical shell of finite length, which is under uniform internal pressure, using Love-Timoshenko's kinematic relations under the framework of CLT is presented.