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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Computational Methods

Computational strategy for automated symmetry detection of engineering structures

< Table of Contents for Computational Methods
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Computational Methods
  • Pages: 10
  • Title: Computational strategy for automated symmetry detection of engineering structures
  • Author(s): Yao Chen, Jian Feng
  • Keywords: symmetric structure, numerical algorithm, automated recognition, group-theoretic approach, symmetry group
Abstract
Symmetry of a complex structure is not obvious to human recognition. Even though someone succeeds in recognizing certain symmetry properties of the structure, these might be the partial ones, and the others will be possibly unnoticed. To overcome this difficulty and enable the integration of symmetry analysis, we propose an automated symmetry detection algorithm for 2D and 3D engineering structures. Only the nodes and the connectivity patterns of the members are needed in advance. Using group theory, we describe different symmetry groups and symmetry operations. Then, through matrix representations of symmetry operations, the equivalence of geometric configuration of a structure is evaluated. Hence, the inherent symmetry operations of the structure are identified one by one. Examples show that the proposed symmetry detection algorithm is feasible and robust. Highly symmetric structures are recognized accurately and effectively. In addition, those non-symmetric structures can be recognized in a small number of iterations.

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