Stability analysis of hyper symmetric skeletal structures using group theory

DOI10.1007/s00707-008-0022-xzbMath1155.74343OpenAlexW1973856373MaRDI QIDQ1002698

J. Martínez

Publication date: 2 March 2009

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-008-0022-x

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (5)

Analysis of space truss towers using combined symmetry groups and product graphs ⋮ Canonical forms for symmetric and regular structures ⋮ Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures ⋮ Improved group theoretic method using graph products for the analysis of symmetric-regular structures ⋮ Group-theoretic method for efficient buckling analysis of prestressed space structures

Cites Work

• Improved group-theoretical method for eigenvalue problems of special symmetric structures, using graph theory
• Effect of finite element choice in blunt crack band analysis
• Buckling load of symmetric plane frames using canonical forms and group theory
• Block diagonalization of Laplacian matrices of symmetric graphs via group theory
• Exact block diagonalization of large eigenvalue problems for structures with symmetry
• Decomposition of symmetric mass–spring vibrating systems using groups, graphs and linear algebra
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