论文标题
分析用于模拟弹性几何锯齿形弹簧元材料的降低阶模型
Analysis of a Reduced-Order Model for the Simulation of Elastic Geometric Zigzag-Spring Meta-Materials
论文作者
论文摘要
我们使用简化的表示基于锯齿形模式分析了几何元材料的减少阶模拟的性能。作为几何元材料，我们表示可以在2D和弹性上弯曲的平面细胞结构，以便它们在3D空间中近似近似偶发的2个manifold表面。他们主要来自细胞元素的几何形状和连接的弹性属性。在本文中，我们专注于由所谓的锯齿形弹簧构建的细胞。基本材料的物理特性（即物质物质）也会影响行为，但我们从本质上是通过保持恒定来考虑它们。 这种复杂的几何结构的模拟具有高计算成本，因此我们提出了一种方法，通过通过更简单的模型和学习其弹性变形行为的特性来减少曲折细胞来减少它。特别是，我们分析了与完整模型相比，我们分析了完整参数空间的采样的影响以及降低模型的表现力。基于这些观察，我们得出了如何使用更简单的模型模拟这种复杂的中索结构的结论。
We analyze the performance of a reduced-order simulation of geometric meta-materials based on zigzag patterns using a simplified representation. As geometric meta-materials we denote planar cellular structures which can be fabricated in 2d and bent elastically such that they approximate doubly-curved 2-manifold surfaces in 3d space. They obtain their elasticity attributes mainly from the geometry of their cellular elements and their connections. In this paper we focus on cells build from so-called zigzag springs. The physical properties of the base material (i.e., the physical substance) influence the behavior as well, but we essentially factor them out by keeping them constant. The simulation of such complex geometric structures comes with a high computational cost, thus we propose an approach to reduce it by abstracting the zigzag cells by a simpler model and by learning the properties of their elastic deformation behavior. In particular, we analyze the influence of the sampling of the full parameter space and the expressiveness of the reduced model compared to the full model. Based on these observations, we draw conclusions on how to simulate such complex meso-structures with simpler models.
