Bifurcation analysis of symmetric structures using block-diagonalization

Kiyohiro Ikeda, Kazuo Murota

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)

Abstract

A group-theoretic method to trace bifurcation behavior of truss structures with regular-polygonal symmetry is proposed. By means of a suitable 'local' coordinate transformation, the present method decomposes the tangent-stiffness matrix into a block-diagonal form with possible occurrences of twice-repeated matrices. An efficient way to compute the block-diagonal form is described in view of the sparseness of the local transformation matrix. This achieves computational efficiency and moreover leads to systematic categorization of critical points. The present method is applied to a series of regular-polygonal truss domes to demonstrate its usefulness.

Original languageEnglish
Pages (from-to)215-243
Number of pages29
JournalComputer Methods in Applied Mechanics and Engineering
Volume86
Issue number2
DOIs
Publication statusPublished - 1991 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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