论文标题
最佳复合材料和结构的设计和制造的“弦乐”方法
A "String Art" approach to the design and manufacturing of optimal composite materials and structures
论文作者
论文摘要
在本文中，我们报告了一个关于镀金复合结构的设计和制造的新的有希望的想法，该想法是根据给定的重量约束和负载条件下最大的刚度定制的。它基于一种称为“弦乐”的艺术技术背后的想法，即带有单个线程的图像的表示，在平坦框架上的销钉之间张紧。最近已经采用了一种离散优化算法来形式化找到将螺纹绕组配置融合到给定灰度图像中的过程。我们证明了如何使用该算法来近似通过常规拓扑优化算法计算的各向同性材料的二维分布。因此，由于以下两阶段的过程找到了最佳的复合设计。在第一阶段，拓扑优化过程会产生刚度灰度值的常规网格。在第二阶段，根据``字符串art''优化算法，用多线线近似折叠，代表软基质中的刚性增强纤维。用很少的简单数值示例说明了所提出的方法的效率。我们的开发为新一代纤维复合结构的工业设计开辟了广泛的途径。
In this paper we report a new promising idea on the design and manufacturing of ply composite structures, tailored to exhibit maximum stiffness under given weight constraints and loading conditions. It is based on the idea behind an artistic technique known as "string art" - the representation of an image with a single thread, tensioned between pins on the flat frame. A discrete optimization algorithm has been employed recently to formalize the process of finding a configuration of thread windings that fuses into a given greyscale image. We demonstrate how this algorithm can be employed to approximate the two-dimensional distribution of isotropic material, computed by a conventional topology optimization algorithm. An optimal composite design is thus found as a result of the following two-stage process. At the first stage, topology optimization procedure produces regular grid of greyscale values of stiffness. At the second stage, this distribution is approximated with a polyline, representing the stiff reinforcement fiber in a soft matrix, according to ``string art'' optimization algorithm. The efficiency of the proposed approach is illustrated with few simple numerical examples. Our development opens a wide avenue for the industrial design of the new generation of fibrous composite structures.
