Shape optimization with program CARAT

Shape optimal design is the synthesis of structural analysis and mathematical programming combined with computer aided geometric design (CAGD) concepts and behavior sensitivity analysis. This generally accepted idea is realized by CARAT. The underlying models are formulated with special regard to a general overall model of structural optimization which is efficient as well as flexible enough to be applied to shape optimal design of arbitrary shells in three dimensional space. Special emphasis is given to potential optimization algorithms (e.g. an extension of the method of moving asymptotes), practical design capabilities, clearly formulated interactions like variable linking, and modular computer codes. Shape optimizations of an initially axisymmetric shell, a fly-wheel and a bell demonstrate the capabilities of the presented approach.

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