Detailed FSI modeling and HPC simulation of the Olympic stadium roof in Munich under wind loading

P. Bucher, Máté Péntek, K. Sautter, R. Wüchner, K. Bletzinger
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Abstract

The Olympic stadium in Munich was built for the Olympic Games in 1972. Its architecture was inspired by freefrom shapes and led to the construction of ”hanging” cable nets covered with acrylic glass plates, which constitute the main part of the roof. The main structure additionally includes pylons, masts, and cables to hold up this complex geometry. Details of the construction are described in [1]. The main focus of this work is to improve the numerical models and showcase the simulation potential for such a complex geometry, with a specific focus on the realistic modeling of the wind field (atmospheric boundary layer flow and consideration of some crucial elements of topography) as well as fluid-structure interaction (FSI, i.e. enabling the interaction between the deformations of the structure and the wind forces adapting to these changes). For the fluid domain, only the roof is explicitly captured by the mesh, in addition to the chosen topography elements. Other parts of the supporting structure are deemed to have a minimal role in the aerodynamics. Careful considerations are taken regarding the modeled geometry of the structure, these being based upon [2], data extracted from a Google Earth model, on-site measurements, and city archives. This shape represents the target geometry under self-weight and prestress. The membrane, as well as cable elements (modeled as trusses, being purely under tension), need a detailed investigation such that the correct prestress values can be determined. Initial values are based upon archive and publication data ([1]). Optimization algorithms are used in a sequential way to determine the actual necessary prestress (on an element level in the FEM context). This is to be seen as an inverse of the fromfinding procedure. An
慕尼黑奥林匹克体育场屋顶在风荷载作用下的详细FSI建模和HPC仿真
慕尼黑的奥林匹克体育场是为1972年的奥运会而建的。其建筑的灵感来自于自由的形状,并导致了“悬挂”电缆网的建设,覆盖着丙烯酸玻璃板,构成了屋顶的主要部分。主要结构还包括塔架、桅杆和电缆,以支撑这个复杂的几何结构。施工细节见[1]。这项工作的主要重点是改进数值模型并展示这种复杂几何形状的模拟潜力,特别关注风场的逼真建模(大气边界层流动和考虑一些关键的地形要素)以及流固相互作用(FSI,即使结构变形与适应这些变化的风力之间的相互作用)。对于流体域,除了选定的地形元素外,只有屋顶被网格明确捕获。支撑结构的其他部分在空气动力学中的作用被认为是最小的。对于结构的几何模型进行了仔细的考虑,这些是基于[2],从Google Earth模型中提取的数据,现场测量和城市档案。这个形状表示目标在自重和预应力作用下的几何形状。为了确定正确的预应力值,膜和索单元(以桁架为模型,纯粹受张力)需要进行详细的调查。初始值基于存档和发布数据([1])。优化算法以顺序的方式来确定实际必要的预应力(在有限元环境中的单元水平上)。这可以看作是fromfinding过程的逆过程。一个
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