๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Eigensolution of symmetric frames using graph factorization

โœ Scribed by Kaveh, A. ;Salimbahrami, B.

Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
188 KB
Volume
20
Category
Article
ISSN
1069-8299

No coin nor oath required. For personal study only.

โœฆ Synopsis

Abstract

In this paper, decomposition of matrices of special patterns to submatrices of smaller dimensions is briefly described. The graph models of frame structures with different symmetries are decomposed and appropriate processes are designed for their healing in order to form the corresponding factors. The eigenvalues and eigenvectors of the entire structure are then obtained by evaluating those of its factors. The methods developed in this article, simplifies the calculation of the natural frequencies and natural modes of the planar frames with different types of symmetry. Copyright ยฉ 2004 John Wiley & Sons, Ltd.

๐Ÿ“œ SIMILAR VOLUMES

Symmetric Hamilton cycle decompositions
Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor
โœ Richard A. Brualdi; Michael W. Schroeder ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 190 KB ๐Ÿ‘ 1 views

Let n โ‰ฅ 2 be an integer. The complete graph K n with a 1-factor F removed has a decomposition into Hamilton cycles if and only if n is even. We show that K n -F has a decomposition into Hamilton cycles which are symmetric with respect to the 1-factor F if and only if n โ‰ก 2,4 mod 8. We also show that