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| Optimum design of cylindrical shell with nonuniform wall thickness |
| Revised:June 08, 2001 |
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| DOI：10.7511/jslx20024088 |
| KeyWord:cylindrical shell,strength optimal,stepped reduction method,reduced stress |
| Yue Jinchao 1 Liang Bin 2 |
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| Abstract: |
| A strength optimal design problem of a cylindrical shell with nonuniform wall thickness is studied. If the middle surface of the shell is known, the equilibrium equations of the cylindrical shell under arbitrarily axisymmetrically distributed load are solved by using the stepped reduction method, and its solutions of explicit formulation are obtained. Based on the Huber Mises Henckey failure hypothesis, the optimal problem with the condition of constant volume is reduced to a nonlinear programming problem in which the objective function is the maximum reduced stresses of the cylindrical shell, and an optimal method is established in terms of the projective gradient method. Finally, Some typical problems are calculated. In contrast with the uniform shell, the maximum reduced stress es of the optimal shell are reduced greatly. Those results may be used to design the ribs of cylindrical shell. |
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