应变驱动的生成设计框架与模拟超材料耦合:对观察到的结构和功能进行机械和形状适应的过程

Hugo García-Modet, L. Saucedo-Mora, Guillermo Gómez-Carano, M. Sanz-Gómez, F. Montáns
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引用次数: 0

摘要

. 自从Bendsøe和Kikuci于1988年提出拓扑优化以来,特别是近年来,由于其涉及革命性的生成设计技术,拓扑优化得到了巨大的发展。本文旨在为生成设计方法奠定基础,该方法由一种替代众所周知的密度方法的方法提供动力。在有限元分析的基础上,以单元的杨氏模量为设计变量,提出一种优化算法。这样,虽然以前的研究主要集中在空隙/固体分布上,但由于超材料和增材制造的进步,本研究寻找可以制造的不同E值的分布。还开发了一种模拟超材料来耦合拓扑优化,但不包括在本文中。为了评估优化算法,在不同的载荷和边界条件下进行了一些分析。结果与我们的初始假设相符:高应变下的单元刚度值增加,而小应力下的单元刚度值相反。因此,结果呈现出杨氏模量分布的结构,优化了应变能,从而减少了位移。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Strain-Driven Generative Design Framework Coupled With A Mimetic Metamaterial: A Process Towards Mechanical And Shape Adaptation To Observed Structures And Functionalities
. Topology optimization has undergone tremendous development since its introduction by Bendsøe and Kikuci in 1988, especially in recent years, due to its involvement in revolutionary generative design techniques. This paper aims to lay the foundations of a generative design methodology powered by an alternative approach to the well-known density methods. Based on finite element analysis, the objective is to develop an optimization algorithm with the Young modulus of the elements as design variables. That way, while previous studies have focused on void/solid distributions, this study searches for a distribution of different E values that could be manufactured due to progress in metamaterials and additive manufacturing. A mimetic metamaterial was also developed to be coupled with the topological optimization, but will not be included in this paper. To assess the optimization algorithm, several analyses have been carried out under different load and boundary conditions. The outcome shows correlation with our initial hypothesis: elements under higher strains increase their stiffness value, while the opposite occurs for those under minor stresses. Conse-quently, the results present a structure with a Young modulus distribution that optimizes the strain energy, and therefore, reduces the displacements.
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