Optimization techniques: Synthesis of design and analysis
This paper is focused on the use of optimization techniques in the framework of computer aided design and finite element methodology. A design model is developed which can be used for structural sizing as well as for shape design. An essential aspect of this work is sensitivity analysis, which consists of computing derivatives of the functions which define the optimization problem. Attention is restricted on static linear problems involving shape variables. A new and rather general mathematical programming method is described. For structural sizing as well as for shape optimal design, the method generalizes previous approaches and has excellent convergence properties. A sample of numerical applications is given showing the efficiency and reliability of the proposed formulation. Finally the concept of interactive redesign allowing the designer to monitor the optimization process on a graphic terminal is envisaged. It is expected that in the future this concept will lead to integration of structural optimization methods into computer aided design systems.
scientific article; zbMATH DE number 3984737