薄壁结构的加筋布局优化设计

采用拓扑优化方法研究了薄壁结构的加筋布局优化问题.考虑到航空航天领域薄壁加筋结构的大量使用与结构形式的复杂性,提出了一种适用于有限元自由网格剖分的加筋设计新方法--几何背景网格法.该方法一方面通过定义几何背景网格的大小,实现了加筋设计域内任意离散网格沿加筋高度方向的布局参数化定义;另一方面,通过背景网格曲线坐标系下的定义,实现了三维曲面薄壁壳结构的加筋布局设计.采用该方法分别对平面结构与曲面薄壁结构进行了以结构刚度最大为目标的加筋优化设计.数值结果表明,所提出的方法能有效获得合理的加筋布局.

Stiffener Layout Optimization of Thin Walled Structures

The stiffener layout optimization of thin walled structures is addressed in this article using a topology optimization method. Taking into consideration the complexities and wide applications of thin walled stiffened structures in aeronautic and astronautic fields, the article proposes a new geometric background grid (GBG) method suitable for stiffener design with unstructured finite element meshes. On the one hand, the stiffener definition is parameterized by this method using the background grid size. On the other hand, the definition of the background grid in the curve-lined coordinate system makes it possible to perform stiffener design of 3D curved shells. To validate the GBG method, it is applied to the stiffness maximization of plane and curved pan-els. Numerical examples show that this method can provide satisfactory results for stiffener layout.