Dimensionnement optimal des coques minces par l’approche statique de l’analyse limite et les algorithmes génétiques
Keywords:
optimization, thin shells, limit analysis, mathematical programming, genetic algorithmsAbstract
In this paper, the problem of the dimensional optimization of thin rotationally symmetric shells is examined. The formulation proposed is based on the utilization of the limit analysis theory and genetic algorithms (Holland, 1976). This approach allows to simplify the problem by eliminating the dummy variables which were introduced by the discretization of the structure into finite elements. The problem of the limit analysis is solved by the use of a determinist method of the mathematical programming (Bideq, 1998). The structural optimization problem is solved by using the genetic algorithms.
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