Browsing by Author "Unzueta, J."
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Item Conservative approximations in nonlinear optimization. theory and examples(1991) Longo, A.; Nó, M.; Aizpitarte, M.; Unzueta, J.; Centros PRE-FUSION TECNALIA - (FORMER)A new nonlinear optimization approach with strong convergence properties is presented. This approach is based on approximate subproblems, a nondifferentiable penalty function and a set active strategy, and is well suited for solution of design problems in engineering, where the number of variables may be large and function and gradient evaluations are very expensive (e.g. in structural optimization). The main theoretical results are presented, which lead to a general algorithm from which well-known methods (e.g. Pschenichny's baseline, method of hybrid approximations) can be seen as particular cases. Also, a new kind of convex approximation called SOC (second order correction) is introduced in this context, and some examples are solved by a practical algorithm implemented in a C module called ACPM.Item A general related variational approach to shape optimum design(1993) Longo, A.; Unzueta, J.; Schaeidt, E.; Alvarez, A.; Anza, J. J.; Centros PRE-FUSION TECNALIA - (FORMER); Desarrollo Corporativo; PROMETALA general variational approach to shape optimum design is presented. The paper is concerned mainly with two fundamental subjects involved within shape optimization methodologies: the Geometric Representation or Design Model definition and the evaluation of shape sensitivities. Within this context, the term variational is related, on one hand, to the use of variational geometry concepts at the level of Design Model and, on the other hand, to the evaluation of sensitivities by means of the material derivative concept or generalized calculus of variations. At the end of the paper, an industrial application, called SIDOMAT, is described, in order to show how these methodologies can be integrated in a shape optimum design system for practical use.