A modified dynamic relaxation form-finding method for symmetrical tensegrity structures with group theory and fuzzy clustering

IF 1.9 4区工程技术 Q3 MECHANICS

Mechanics Research Communications Pub Date : 2024-08-01 DOI:10.1016/j.mechrescom.2024.104310

Baoxin Chen, Heping Liu, Mingshuang Ren

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引用次数: 0

Abstract

For tensegrity structures, there are many groups of cables and bars with symmetrical structures or similar internal forces. In this paper, an application of a fuzzy clustering algorithm in the context of form-finding processes for symmetric tensegrity structures is proposed. This algorithm aims to automate grouping, optimize form-finding strategies, and expedite convergence. Point sets are generated through the segmentation of structural components, and Hausdorff distance is used to extract spatial features. Following this, fuzzy clustering automatically groups components with geometric symmetry. The resultant clustering matrix facilitates the refinement of form-finding processes, thus reducing the computational load associated with solving the equilibrium matrix for internal forces within tensegrity structures. By clustering components with analogous internal forces, computational efficiency is enhanced. Additionally, this methodology refines numerical form-finding outcomes based on symmetrical attributes, improving form-finding precision.

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利用群论和模糊聚类的对称张弦结构修正动态松弛寻形法

对于张弦结构而言，有许多具有对称结构或类似内力的缆索和杆件组。本文提出了一种模糊聚类算法在对称张弦结构找形过程中的应用。该算法旨在自动分组、优化找形策略并加速收敛。通过分割结构组件生成点集，并利用豪斯多夫距离提取空间特征。随后，模糊聚类会自动将具有几何对称性的组件进行分组。由此产生的聚类矩阵有助于细化找形过程，从而减少与求解张弦结构内力平衡矩阵相关的计算负荷。通过对具有类似内力的部件进行聚类，可提高计算效率。此外，该方法还能根据对称属性完善数值找形结果，提高找形精度。

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来源期刊

Mechanics Research Communications 物理-力学

CiteScore

4.10

自引率

4.20%

发文量

114

审稿时长

9 months

期刊介绍： Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.