铸件拓扑优化的水平集方法
【摘要】：在铸造加工中,熔融金属在模具中固化成型为铸件。当模具被移除后,可得到铸件。铸造中的一个重要问题是铸件的几何形状应确保模具能够方便地被移除。因此,铸件的拓扑优化不仅仅要优化铸件的机械性能,还须确保铸件具有合适的几何形状。为解决这一问题,我们提出一种基于水平集的铸件拓扑优化方法:为优化铸件的机械性能,由形状敏度分析得到关于设计速度的"性能条件";为确保铸件具有合适的几何形状,我们设定了关于设计速度的"分模"条件。最后,我们给出了三维的数值算例。
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