论文标题
自动化和准确的几何提取和3D拓扑优化结果的形状优化
Automated and Accurate Geometry Extraction and Shape Optimization of 3D Topology Optimization Results
论文作者
论文摘要
由基于密度的拓扑优化（TO）产生的设计展示了锯齿状和/或涂抹边界，这构成了与现有CAD工具集成的障碍。通过平滑或手动设计调整来解决此问题是耗时的，并且会影响设计的最佳性。本文提出了一个完全自动化的程序，以从任意3D到结果获得明确，准确和优化的几何形状。它由使用涉及径向基础功能的基于级别的设计描述组成的几何提取阶段，然后使用有限的单元格方法在结构边界附近的局部分析改进的形状优化阶段组成。定义明确的基础功能权重确保在整个形状优化过程中提供足够的灵敏度信息。我们的方法可导致高度平滑，准确的优化几何形状，并通过2D和3D示例说明了其有效性。
Designs generated by density-based topology optimization (TO) exhibit jagged and/or smeared boundaries, which forms an obstacle to their integration with existing CAD tools. Addressing this problem by smoothing or manual design adjustments is time-consuming and affects the optimality of TO designs. This paper proposes a fully automated procedure to obtain unambiguous, accurate and optimized geometries from arbitrary 3D TO results. It consists of a geometry extraction stage using a level-set-based design description involving radial basis functions, followed by a shape optimization stage involving local analysis refinements near the structural boundary using the Finite Cell Method. Well-defined bounds on basis function weights ensure that sufficient sensitivity information is available throughout the shape optimization process. Our approach results in highly smooth and accurate optimized geometries, and its effectiveness is illustrated by 2D and 3D examples.
