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| Sequential approximate programming approach to reliability based structural optimization |
| Revised:December 26, 2004 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20066120 |
| KeyWord:reliability-based optimization,bi-level approach,approximate reliability index,Sequential Approximate Programming,Karush-Kuhn-Tucker condition |
| CHENG Geng-dong XU Lin |
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| Abstract: |
| The classical bi-level approach to the reliability based optimization problem is not effective.To address the difficulty,an extended sequential approximate programming approach is proposed.In the new approach,optimum design of RBO is obtained by solving a sequence of approximate linear programming.We develop a new linear approximation of the approximate reliability index with respect to the design variables to improve the efficiency,where the Karush-Kuhn-Tucker conditions are used to obtain the approximate reliability index.The derivative of the approximate reliability index is deduced.Program based on Sequential Linear Programming method of RBO has been developed to solve the structural and non-structural reliability based optimization problems.By integrating the algorithm with the existing FEM software we manage to solve a number of reliability based optimization problems.Numerical results show the concurrent convergence of both optimization and reliability calculation and the efficiency of our new approach. |
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