WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Optimization of Conical Shells of Piece Wise Constant Thickness
Authors: ,
Abstract: Conical shells with piece wise constant thickness subjected to the distributed transverse pressure and loaded by a rigid central boss are studied. In the paper the both, elastic and inelastic shells are considered. In the case of inelastic shells it is assumed that the material obeys the Hill’s plasticity condition and associated flow rule. The optimization problem is posed in a general form involving as particular cases several different problems. Resorting to the variational methods necessary optimality conditions are derived. The problems regarding to the maximization of the plastic limit load and to the minimum weight design are studied in a greater detail.