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Optimum design of composite axi-symmetric pressure vessels domes

The aim of this investigation is to obtain an optimum convex shape for the dome of composite pressure vessels. The angle of ply orientations is taken as combinations of 0, +45, -45, and 90 degrees, with failure criterion of Tsi-Wu for each layer under the maximum design pressure. The efficiency of the vessel used as the objective for maximization is defined as the shape factor ( ) γ σ / W PV K = , with the parameters γ σ / , , , W V P as defined in the text [2]. The optimization method used is the non-gradient approach of the Complex method, and the generator curve of the dome is defined in terms of the radii to equidistant points along the axis of symmetry treated as the design variables. The design points along the generator are turned into a smooth curve by connecting them with cubic splines. The procedure shows remarkable success as exhibited by several examples worked out.