Real-coded Adaptive Range Genetic Algorithms (ARGAs) have been applied to a practical three-dimensional shape optimization for aerodynamic design of an aircraft wing. The realcoded ARGAs possess both advantages of the binary-coded ARGAs and the floating-point representation to overcome the problems of having a large search space that requires continuous sampling. The results confirm that the re...

This paper presents a method for assisting the optimal selection of topologies for the minimum-weight design of continuum structures subject to stress constraints by using the performance index (PI ). A performance index is developed for evaluating the efficiency of structural topologies based on the scaling design approach. This performance index is incorporated in the evolutionary structural ...

A multilevel decomposition approach for the preliminary design of a High Speed Civil Transport Aircraft wing structure is described. The wing design is decomposed into three levels. The top level uses the FLOPS aircraft synthesis program to generate preliminary weights, mission, and performance information. The optimization criterion is productivity expressed by a productivity index for the spe...

The paper discusses incomplete sensitivity evaluations for shape optimization problems. It also shows how reduced order models can be introduced to extend the validity domain of the approach. 1 ha l-0 07 90 08 5, v er si on 1 19 F eb 2 01 3 Author manuscript, published in "Control and Cybernetics 39, 3 (2010) 615-630"

We study some shape optimization problems related to sums and quotients of Dirichlet Laplacian eigenvalues kn for planar domains. We show how to minimize a sum ðkk þ kkþ1ÞjXj; k 1⁄4 1;2; . . . when the minimizing domain is disconnected. In particular, we prove that the optimizers in the cases k 1⁄4 1 and k 1⁄4 2 are connected. We develop a numerical method for solving shape optimization eigenva...

In this paper, we present an optimization framework for automating the shape customization of human-centric products, which can be mounted on or embedded in human body (such as exoskeletal devices and implants). This kind of products needs to be customized to fit the body shapes of users. At present, the design customization for freeform objects is often taken in an interactive manner that is i...

A. The paper can be considered as a complement to previous papers of the authors. An insight into applied asymptotic analysis of boundary value problems in singularly perturbed domains is presented. As a result, the asymptotic expansions of eigenvalues are obtained and discussed in terms of integral attributes of the geometrical perturbations including the virtual mass tensor, polarizati...

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