Analysis of structures convertible to repeated structures using graph products

[rahmatii]

Analysis of structures convertible to repeated structures using graph products
I. Shojaei a,d, A. Kaveh b,⇑, H. Rahami a,c
a Engineering Optimization Research Group, College of Engineering, University of Tehran, Iran
b Centre of Excellence for Fundamental Studies in Structural Engineering, Iran University of Science and Technology, Tehran, Iran
c School of Engineering Science, College of Engineering, University of Tehran, Iran
d School of Civil Engineering, College of Engineering, University of Tehran, Iran

a b s t r a c t
In this paper an efficient method is presented for the analysis of those structures which can be converted
to regular forms. The stiffness matrix for such regular structures can easily be inverted using their eigenvalues
and eigenvectors. Many non-regular structures can be converted to regular forms. Here the presented
method solves not only all the regular forms but also non-regular forms convertible to regular
ones. The efficiency of the method is more significant when it is used in reanalyzing and rehabilitating
structures where the stiffness matrix should be inverted
a r t i c l e i n f o
Article history:
Received 24 November 2012
Accepted 20 April 2013
Available online 31 May 2013

Keywords:
Regular structure
Irregular structure
Stiffness matrix
Graph product
Eigenvalues and eigenvectors
Reanalysis

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