An Auxetic Construction Kit for Turbomachinery Application

Stefan Schröter, Lukas Reisinger, V. Gümmer
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Abstract

- Auxetic structures are characterised by a negative Poisson’s ratio. There are a variety of auxetic structures out of which the relevant ones are highlighted. After a simulative comparison of the thermal and mechanical properties, the most suitable structure and topology is selected for the application in turbomachinery. A parameter variation of this topology leads to an analytical model that describes the mechanical behaviour of the recursive lattice structure as a function of these geometric sizes: the recursive angle 𝛩 , the aspect ratio 𝛼 , the normalised wall thickness 𝛽 , the normalised radius 𝜅 and the cell density 𝑛 . Regarding the thermal properties, the so-called resistance length 𝑅 L is introduced, which allows a good prediction of the thermal behaviour depending on the cell dimensions. Finally, potential fields of application in the literature are outlined. not able to fully display the interrelationships between the factors and the geometry behaviour. A meta-model has to be generated to broadly understand the structure and effects of the different parameters.
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一种用于涡轮机械的辅助结构套件
-辅生结构的特征是负泊松比。有各种各样的辅助结构,其中相关的结构突出显示。通过对热学性能和力学性能的模拟比较,选择了最适合在叶轮机械中应用的结构和拓扑结构。这种拓扑的参数变化导致了一个解析模型,该模型描述了递归晶格结构的力学行为,作为这些几何尺寸的函数:递归角𝛩、纵横比时延、归一化壁厚时延、归一化半径𝜅和细胞密度𝑛。关于热性能,引入了所谓的电阻长度𝑅L,它可以根据电池尺寸很好地预测热行为。最后,对文献中潜在的应用领域进行了概述。不能完全显示因子和几何行为之间的相互关系。必须生成元模型来广泛地理解不同参数的结构和效果。
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