Johannes Kepler Universit at Linz Advanced Iterative Solvers and Optimal Design of Industrial Machine Components Advanced Iterative Solvers and Optimal De- Sign of Industrial Machine Components 1
نویسنده
چکیده
We consider the optimal design of a machine frame under several stress constraints. The shape optimization is based on a Quasi-Newton Method. We need to solve the plain stress state equations in a complex domain for each evaluation of the objective therein. The complexity and robustness of the optimization depends strongly on the solver for the pde. Therefore, solving the direct problem requires an iterative and adaptive multilevel solver. Although we started with a perfected type frame we achieved another 5 % reduction in mass.
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C. Carstensen1, M. Kuhn2, U. Langer3 1 Mathematical Seminar, Christian-Albrechts-University Kiel, Ludewig-Meyn-Str. 4, D-24098 Kiel, Germany; e-mail: [email protected] 2 Institute of Mathematics, Johannes Kepler University Linz, Altenberger Str. 69, A-4040 Linz, Austria; e-mail: [email protected] 3 Institute of Mathematics, Johannes Kepler University Linz, Altenberger Str. 69, A-404...
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