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A 3D boundary element optimization approach based on genetic algorithms and surface modeling

机译:基于遗传算法和表面建模的3D边界元优化方法

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The optimization of three dimensional shapes is one of the most common problems addressed in engineering. This work concerns the use of genetic algorithms (GAs) and beta-spline-surface modeling for the optimization of boundary element models. The paper summarizes the genetic optimization process. The model boundary is discretized by using the Boundary Element Method (BEM), and selected parts of the boundary are modeled by using beta-spline surfaces, in order to allow an easy re-meshing and adaptation of the boundary to external actions. Two numerical examples are presented and discussed in detail, showing that the proposed technique is able to optimize the shape of domains requiring a minimum of computational effort. The reduction in the model volume is significant, without violating the restrictions imposed on the model. (C) 2004 Elsevier Ltd. All rights reserved.
机译:三维形状的优化是工程中最常见的问题之一。这项工作涉及使用遗传算法(GA)和β样条曲面模型来优化边界元素模型。本文总结了遗传优化过程。使用边界元素方法(BEM)离散模型边界,并使用beta样条曲面对边界的选定部分进行建模,以使边界易于重新划分网格并适应外部作用。给出并详细讨论了两个数值示例,表明所提出的技术能够优化需要最少计算量的域的形状。在不违反对模型施加的限制的前提下,模型体积的显着减少。 (C)2004 Elsevier Ltd.保留所有权利。

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