Eigenfrequencies of symmetric planar trusses via weighted graph symmetry and new canonical forms

DOI10.1108/02644401011029952zbMath1257.74073OpenAlexW2067488835MaRDI QIDQ4908049

L. Shahryari, Ali Kaveh

Publication date: 27 February 2013

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644401011029952

zbMATH Keywords

vibrationeigenvalues and eigenfunctionsfactor analysisframed structuresstructural members

Mathematics Subject Classification ID

Applications of graph theory (05C90) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Cites Work

• A novel nodal ordering algorithm for profile optimization by efficient solution of a differential equation
• Eigensolution of symmetric frames using graph factorization
• 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
• New canonical forms for analytical solution of problems in structural mechanics

This page was built for publication: Eigenfrequencies of symmetric planar trusses via weighted graph symmetry and new canonical forms