Bifurcation analysis of symmetric structures using block-diagonalization

DOI10.1016/0045-7825(91)90128-SzbMath0764.73100OpenAlexW2001207355MaRDI QIDQ1205081

Kiyohiro Ikeda, Kazuo Murota

Publication date: 1 April 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(91)90128-s

zbMATH Keywords

truss structuressparsenessgroup-theoretic methodlocal transformation matrixregular-polygonal symmetrytangent-stiffness matrix

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical problems in solid mechanics (74H99) Equilibrium (steady-state) problems in solid mechanics (74G99)

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Cites Work

• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Structure of singularities and its numerical realization in nonlinear elasticity
• Symmetry, groups, and boundary value problems. A progressive introduction to noncommutative harmonic analysis of partial differential equations in domains with geometrical symmetry
• Singularities and groups in bifurcation theory. Volume I
• A group-theoretic approach to computational bifurcation problems with symmetry
• Computational methods for bifurcation problems with symmetries - with special attention to steady state and Hopf bifurcation points
• Bifurcation hierarchy of symmetric structures
• Singularities and groups in bifurcation theory. Volume II
• The Computation of Symmetry-Breaking Bifurcation Points
• Material Symmetry and Chirality in Nonlinearly Elastic Rods
• Computational Use of Group Theory in Bifurcation Analysis of Symmetric Structures
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