caa a22 4500 475750594 CHVBK 20180406123522.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1023/A:1008775015126 doi (NATIONALLICENCE)springer-10.1023/A:1008775015126 Achtziger Wolfgang Institute of Applied Mathematics, LS II, University of Erlangen-Nuremberg, Erlangen, Germany aut Optimization with Variable Sets of Constraints and an Application to Truss Design [Elektronische Daten] [Wolfgang Achtziger] We discuss the minimization of a continuous function on a subset of Rn subject to a finite set of continuous constraints. At each point, a given set-valued map determines the subset of constraints considered at this point. Such problems arise e.g. in the design of engineering structures. After a brief discussion on the existence of solutions, the numerical treatment of the problem is considered. It is briefly motivated why standard approaches generally fail. A method is proposed approximating the original problem by a standard one depending on a parameter. It is proved that by choosing this parameter large enough, each solution to the approximating problem is a solution to the original one. In many applications, an upper bound for this parameter can be computed, thus yielding the equivalence of the original problem to a standard optimization problem. The proposed method is applied to the problem of optimally designing a loaded truss subject to local buckling conditions. To our knowledge this problem has not been solved before. A numerical example of reasonable size shows the proposed methodology to work well. Kluwer Academic Publishers, 2000 continuous optimization nationallicence numerical optimization nationallicence constrained programming nationallicence successive approximation methods nationallicence structural optimization nationallicence truss topology optimization nationallicence Computational Optimization and Applications Kluwer Academic Publishers 15/1(2000-01-01), 69-96 0926-6003 15:1<69 2000 15 10589 https://doi.org/10.1023/A:1008775015126 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008775015126 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Achtziger Wolfgang Institute of Applied Mathematics, LS II, University of Erlangen-Nuremberg, Erlangen, Germany aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 15/1(2000-01-01), 69-96 0926-6003 15:1<69 2000 15 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer