Cellular Chaos: Statistically Self-Similar Structures based on Chaos Game

IF 2.6 3区工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computing and Information Science in Engineering Pub Date : 2023-11-06 DOI:10.1115/1.4063987

Noah Hill, Matthew Ebert, Mena Maurice, Vinayak Krishnamurthy

引用次数: 0

Abstract

Abstract We present a novel methodology to generate mechanical structures based on fractal geometry by using the chaos game, which generates self-similar point sets within a polygon. Using the Voronoi decomposition of these points, we are able to generate groups of self-similar structures that can be related back to their chaos game parameters, namely the polygonal domain, fractional distance, and number of samples. Our approach explores the use of forward design of generative structures, which in some cases can be easier to use for designing than inverse generative design techniques. To this end, the central hypothesis of our work is that structures generated using the chaos game can generate families of self-similar structures that, while not identical, exhibit similar mechanical behavior in a statistical sense. We present a systematic study of these self-similar structures through modal analysis and tensile loading and demonstrate a preliminary confirmation of our hypothesis.

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细胞混沌:基于混沌博弈的统计自相似结构

摘要提出了一种基于分形几何的机械结构生成方法，利用混沌博弈在多边形内生成自相似点集。使用这些点的Voronoi分解，我们能够生成一组自相似的结构，这些结构可以与它们的混沌博弈参数相关，即多边形域、分数距离和样本数量。我们的方法探索了生成结构的正向设计的使用，在某些情况下，它比反向生成设计技术更容易用于设计。为此，我们工作的中心假设是，使用混沌游戏生成的结构可以生成自相似结构族，这些结构族虽然不相同，但在统计意义上表现出相似的机械行为。我们通过模态分析和拉伸载荷对这些自相似结构进行了系统的研究，并初步证实了我们的假设。

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 Computing and Information Science in Engineering 工程技术-工程：制造

CiteScore

6.30

自引率

12.90%

发文量

100

审稿时长

6 months

期刊介绍： The ASME Journal of Computing and Information Science in Engineering (JCISE) publishes articles related to Algorithms, Computational Methods, Computing Infrastructure, Computer-Interpretable Representations, Human-Computer Interfaces, Information Science, and/or System Architectures that aim to improve some aspect of product and system lifecycle (e.g., design, manufacturing, operation, maintenance, disposal, recycling etc.). Applications considered in JCISE manuscripts should be relevant to the mechanical engineering discipline. Papers can be focused on fundamental research leading to new methods, or adaptation of existing methods for new applications. Scope: Advanced Computing Infrastructure; Artificial Intelligence; Big Data and Analytics; Collaborative Design; Computer Aided Design; Computer Aided Engineering; Computer Aided Manufacturing; Computational Foundations for Additive Manufacturing; Computational Foundations for Engineering Optimization; Computational Geometry; Computational Metrology; Computational Synthesis; Conceptual Design; Cybermanufacturing; Cyber Physical Security for Factories; Cyber Physical System Design and Operation; Data-Driven Engineering Applications; Engineering Informatics; Geometric Reasoning; GPU Computing for Design and Manufacturing; Human Computer Interfaces/Interactions; Industrial Internet of Things; Knowledge Engineering; Information Management; Inverse Methods for Engineering Applications; Machine Learning for Engineering Applications; Manufacturing Planning; Manufacturing Automation; Model-based Systems Engineering; Multiphysics Modeling and Simulation; Multiscale Modeling and Simulation; Multidisciplinary Optimization; Physics-Based Simulations; Process Modeling for Engineering Applications; Qualification, Verification and Validation of Computational Models; Symbolic Computing for Engineering Applications; Tolerance Modeling; Topology and Shape Optimization; Virtual and Augmented Reality Environments; Virtual Prototyping