New canonical forms for analytical solution of problems in structural mechanics

DOI10.1002/cnm.763zbMath1330.74105OpenAlexW1966136515MaRDI QIDQ5706455

Ali Kaveh, Hossein Rahami

Publication date: 7 November 2005

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.763

zbMATH Keywords

buckling loadeigenvaluesLaplace equationframesmatricesplatescanonical formcritical loadfive-diagonalTri-diagonal

Mathematics Subject Classification ID

Plates (74K20) Bifurcation and buckling (74G60)

Related Items (5)

Forced vibration of symmetric structures ⋮ Canonical forms for symmetric and regular structures ⋮ Eigenfrequencies of symmetric planar trusses via weighted graph symmetry and new canonical forms ⋮ Free vibration of symmetric planar frames via the force method and canonical forms ⋮ A unified method for eigendecomposition of graph products

Uses Software

• ARPACK

Cites Work

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• Eigensolution of symmetric frames using graph factorization
• ARPACK Users' Guide
• Eigensolutions for matrices of special structures
• An efficient method for decomposition of regular structures using graph products

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