论文标题
通过拓扑敏感性优化多受限的拓扑优化
Multi-constrained topology optimization via the topological sensitivity
论文作者
论文摘要
本文的目的是引入并展示一种可用于多受限拓扑优化的强大方法。该方法是通过将拓扑灵敏度与经典增强拉格朗日配方相结合的。提出的方法的主要优点是:(1)它取决于公认的增强拉格朗日公式以进行约束优化,(2)增强拓扑水平集可以系统地得出一套任意的负载和限制因素,并且(3)级别可以有效地更新级别。通过数值实验说明了该方法。
The objective of this paper is to introduce and demonstrate a robust method for multi-constrained topology optimization. The method is derived by combining the topological sensitivity with the classic augmented Lagrangian formulation. The primary advantages of the proposed method are: (1) it rests on well-established augmented Lagrangian formulation for constrained optimization, (2) the augmented topological level-set can be derived systematically for an arbitrary set of loads and constraints, and (3) the level-set can be updated efficiently. The method is illustrated through numerical experiments.