Computational Design of 2D Lattice Structures based on Crystallographic Symmetries

IF 2.9 3区 工程技术 Q2 ENGINEERING, MECHANICAL Journal of Mechanical Design Pub Date : 2023-12-07 DOI:10.1115/1.4064246
Alfred Leuenberger, Eliott Birner, Thomas S. Lumpe, T. Stanković
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Abstract

The design representations of lattice structures are fundamental to the development of computational design approaches. Current applications of lattice structures are characterized by ever-growing demand on the computational resources to solve difficult optimization problems or generate large datasets, opting for the development of efficient design representations which offer a high range of possible design variants, while at the same time generating design spaces with attributes suitable for computational methods to explore. In response, the focus of this work is to propose a parametric design representation based on crystallographic symmetries and investigate its implications for the computational design of lattice structures. The work defines design rules to support the design of functionally graded structures using crystallographic symmetries such that the connectivity between individual members in a structure with varying geometry is guaranteed, and investigates how to use the parametrization in the context of optimization. The results show that the proposed parametrization achieves a compact design representation to benefit the computational design process by employing a small number of design variables to control a broad range of complex geometries. The results also show that the design spaces based on the proposed parametrization can be successfully explored using a direct search-based method.
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基于晶体对称性的二维晶格结构计算设计
晶格结构的设计表示是计算设计方法发展的基础。当前晶格结构应用的特点是对计算资源的需求不断增长,以解决困难的优化问题或生成大型数据集,选择开发提供高范围可能的设计变体的有效设计表示,同时生成具有适合计算方法探索的属性的设计空间。作为回应,本研究的重点是提出一种基于晶体对称的参数化设计表示,并研究其对晶格结构计算设计的影响。该工作定义了设计规则,以支持使用晶体对称性设计功能梯度结构,从而保证具有不同几何形状的结构中单个成员之间的连通性,并研究了如何在优化背景下使用参数化。结果表明,所提出的参数化方法通过使用少量的设计变量来控制大范围的复杂几何形状,从而实现了紧凑的设计表示,有利于计算设计过程。结果还表明,采用基于直接搜索的方法可以成功地探索基于所提参数化的设计空间。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Mechanical Design
Journal of Mechanical Design 工程技术-工程:机械
CiteScore
8.00
自引率
18.20%
发文量
139
审稿时长
3.9 months
期刊介绍: The Journal of Mechanical Design (JMD) serves the broad design community as the venue for scholarly, archival research in all aspects of the design activity with emphasis on design synthesis. JMD has traditionally served the ASME Design Engineering Division and its technical committees, but it welcomes contributions from all areas of design with emphasis on synthesis. JMD communicates original contributions, primarily in the form of research articles of considerable depth, but also technical briefs, design innovation papers, book reviews, and editorials. Scope: The Journal of Mechanical Design (JMD) serves the broad design community as the venue for scholarly, archival research in all aspects of the design activity with emphasis on design synthesis. JMD has traditionally served the ASME Design Engineering Division and its technical committees, but it welcomes contributions from all areas of design with emphasis on synthesis. JMD communicates original contributions, primarily in the form of research articles of considerable depth, but also technical briefs, design innovation papers, book reviews, and editorials.
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