论文标题
材料分布和表面网格的组合参数化，用于加强剂布局的复杂表面的优化
Combined parameterization of material distribution and surface mesh for stiffener layout optimization of complex surfaces
论文作者
论文摘要
在拓扑优化的框架内，实现了复杂表面的加强器布局优化。组合参数化方法在两个方面开发。一种是通过b-spline参数化加强剂布局的材料分布。另一个是通过网格参数化构建从薄壁结构的已知3D表面网格到其参数域的映射关系。讨论了网格参数化对加强型布局的影响，以揭示组合参数化的匹配问题。即使没有分析参数方程，也可以处理由三角形网格表示的3D复合表面。解决了一些数值示例以证明所提出方法的直接优势和有效性。
Stiffener layout optimization of complex surfaces is fulfilled within the framework of topology optimization. A combined parameterization method is developed in two aspects. One is to parameterize the material distribution of the stiffener layout by means of B-spline. The other is to build the mapping relationship from the known 3D surface mesh of the thin-walled structure to its parametric domain by means of mesh parameterization. The influence of mesh parameterization upon the stiffener layout is discussed to reveal the matching issue of the combined parameterization. 3D complex surfaces represented by the triangular mesh can be dealt with even though analytical parametric equations are not available. Some numerical examples are solved to demonstrate the direct advantage and effectiveness of the proposed method.
