Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures

DOI10.1007/s00707-010-0382-xzbMath1398.74144OpenAlexW2068820870MaRDI QIDQ539288

Hossein Rahami, Ali Kaveh

Publication date: 27 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00707-010-0382-x

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thin bodies, structures (74K99) Special matrices (15B99)

Related Items (8)

Symmetry breaking by power-law coupling ⋮ Geometrically nonlinear analysis of circulant structures using an efficient eigensolution method ⋮ Analysis of structures transformable to circulant form using U-transformation and Kronecker products ⋮ Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures ⋮ The seriation problem in the presence of a double Fiedler value ⋮ Canonical forms for symmetric and regular structures ⋮ Rigorous convergence proof of space-time multigrid with coarsening in space ⋮ Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space

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