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首页> 外文期刊>Engineering analysis with boundary elements >Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization
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Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization

机译：边界元法应用于拓扑优化中涉及几何变异性的决策问题

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摘要

Topology Optimization is a useful approach in the early stages of engineering design because it provides structural layout satisfying the performance requirements with the less material amount. Optimal topology solutions may not be unique for the same initial conditions. Local minima may be achieved depending on the design parameters. In such cases, deterministic criteria are often used for choosing the most convenient solution. In the present study, a probabilistic framework for obtaining additional information from the design is proposed, in order to improve the decision-making process. This methodology takes into consideration the less sensitive topology with respect to the geometric variabilities. The framework is based on a novel coupling of Boundary Element Method, Surface Response Method and Probability theory. Two engineering applications are utilized for demonstrating the proposed methodology. The results illustrate that the topology chosen based on the straightforward deterministic criterion may not be sufficient to determine a robust solution from the engineering point of view.
机译：拓扑优化在工程设计的早期阶段是一种有用的方法，因为它以较少的材料量提供了满足性能要求的结构布局。对于相同的初始条件，最佳拓扑解决方案可能不是唯一的。根据设计参数可以达到局部最小值。在这种情况下，确定性标准通常用于选择最方便的解决方案。在本研究中，提出了一种从设计中获取更多信息的概率框架，以改善决策过程。该方法考虑了关于几何可变性的不太敏感的拓扑。该框架基于边界元法，表面响应法和概率论的新型结合。利用两个工程应用程序来演示所提出的方法。结果表明，基于直接确定性标准选择的拓扑可能不足以从工程角度确定鲁棒的解决方案。

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