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Group-theoretic method for forced vibration analysis of symmetric structures

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Publication:954224
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DOI10.1007/s00707-007-0564-3zbMath1149.70013OpenAlexW2032724408MaRDI QIDQ954224

A. Jahanmohammadi, Ali Kaveh

Publication date: 10 November 2008

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

Full work available at URL: https://doi.org/10.1007/s00707-007-0564-3


zbMATH Keywords

decompositiontransformation matrix


Mathematics Subject Classification ID

Forced motions in linear vibration theory (70J35)


Related Items (2)

Exploitation of symmetry in graphs with applications to finite and boundary elements analysis ⋮ Block circulant matrices and applications in free vibration analysis of cyclically repetitive structures



Cites Work

  • Graph coloration and group theory for factorization of symmetric dynamic systems
  • Buckling load of symmetric plane frames using canonical forms and group theory
  • Block diagonalization of Laplacian matrices of symmetric graphs via group theory
  • Decomposition of symmetric mass–spring vibrating systems using groups, graphs and linear algebra
  • On group‐theoretic computation of natural frequencies for spring–mass dynamic systems with rectilinear motion
  • Forced vibration of symmetric structures


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