A structural shape optimization system using the two-dimensional boundary contour method |
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Authors: | A-V Phan T-N Phan |
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Institution: | (1) Department of Mechanical Engineering, Ecole Polytechnique, Montreal (Quebec), Canada H3C 3A7, CA;(2) Department of Electrical and Computer Engineering, Ecole Polytechnique, Montreal (Quebec), Canada H3C 3A7, CA |
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Abstract: | Summary The research recently conducted has demonstrated that the Boundary Contour Method (BCM) is very competitive with the Boundary
Element Method (BEM) in linear elasticity Design Sensitivity Analysis (DSA). Design Sensitivity Coefficients (DSCs), required
by numerical optimization methods, can be efficiently and accurately obtained by two different approaches using the two-dimensional
(2-D) BCM as presented in Refs. 1] and 2]. These approaches originate from the Boundary Integral Equation (BIE). As discussed
in 2], the DSCs given by both BIE-based DSA approaches are identical, and thus the users can choose either of them in their
applications. In order to show the advantages of this class of DSA in structural shape optimization, an efficient system is
developed in which the BCM as well as a BIE-based DSA approach are coupled with a mathematical programming algorithm to solve
optimal shape design problems. Numerical examples are presented.
Received 20 July 1998; accepted for publication 7 December 1998 |
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Keywords: | Shape optimization design sensitivity analysis boundary contour method boundary element method |
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