Improved group-theoretical method for eigenvalue problems of special symmetric structures, using graph theory

DOI10.1016/j.advengsoft.2008.12.003zbMath1180.65044OpenAlexW2001815220MaRDI QIDQ1046155

J. Blot

Publication date: 21 December 2009

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2008.12.003

zbMATH Keywords

symmetryalgorithmdecompositionnumerical exampleseigenvaluesrepresentation theoryLaplacian matrixgroup theorynatural frequencymass graphskeletal structuresstiffness graph

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15)

Related Items (4)

Analysis of space truss towers using combined symmetry groups and product graphs ⋮ Canonical forms for symmetric and regular structures ⋮ Improved group theoretic method using graph products for the analysis of symmetric-regular structures ⋮ Stability analysis of hyper symmetric skeletal structures using group theory

Cites Work

• Buckling load of symmetric plane frames using canonical forms and group theory
• Eigensolution of symmetric frames using graph factorization
• Block diagonalization of Laplacian matrices of symmetric graphs via group theory
• Eigensolution for free vibration of planar frames by weighted graph symmetry
• Exact block diagonalization of large eigenvalue problems for structures with symmetry
• Eigensolutions for factorable matrices of special patterns
• Eigensolutions for matrices of special structures
• Decomposition of symmetric mass–spring vibrating systems using groups, graphs and linear algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Improved group-theoretical method for eigenvalue problems of special symmetric structures, using graph theory