Abstract
This paper is concerned with determining the optimum conditions of steel cylindrical shells with technological limitations and one behavioral constraint, related to a specific constitutive law for limiting load-carrying capacity. The optimum structural design in the plastic range of circular cylindrical full shells composed of rings of variable thickness is given. A numerical procedure for determining the optimal dimensions of shell rings is given. A shell collapse mechanism is assumed in the kinematic part, which satisfies requirements. Within the optimum conditions, the power of the dissipation energy of rings assuming the hexagon Hodge condition of plasticity are derived. A series of numerical solutions and results of optimal structural designs for a shell that is simply supported at the ends are presented. In one example of optimally calculated shells, the length X1 of one ring was varied.
Highlights
We consider the structural optimal design of a circular cylindrical shell composed of rings
To optimize steel shells in the plastic area considered in this paper, it is necessary to determine the limit analysis of the shell
We observe a simple case of a circular cylindrical shell subjected to pressure p(x) in the outward radial direction
Summary
We consider the structural optimal design of a circular cylindrical shell composed of rings. We used the general structure optimization theory in the plastic region, first developed by Drucker, Shield, Prager, Save, and others In this procedure, we determined the absolute minimum cost of an optimum structural design for real circular cylindrical shell structures. Very complex problems concerning the interaction of two shells, as is the case in [18], an optimization method is presented, which combines a finite element method analysis and an optimization algorithm where load path optimization is performed to minimize rod force. The finite element method, and the limit analysis of shells, the limit load was calculated and the genetic algorithm led to research concerning the optimal shell using a search heuristic method. To optimize steel shells in the plastic area considered in this paper, it is necessary to determine the limit analysis of the shell
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