TY - JOUR
T1 - Analysis of near-regular structures with node irregularity using SVD of equilibrium matrix
TT -
JF - IJCE
JO - IJCE
VL - 11
IS - 4
UR - http://ijce.iust.ac.ir/article-1-938-en.html
Y1 - 2013
SP - 226
EP - 241
KW - Regular graph
KW - Irregular graph
KW - Equilibrium matrix
KW - Eigen-Solution
KW - Analysis of structure
KW - Singular value decomposition
N2 - In the process of structural analysis we often come to structures that can be analyzed with simpler methods than the standard approaches. For these structures, known as regular structures, the matrices involved are in canonical forms and their eigen-solution can be performed in a simple manner. However, by adding or removing some elements or nodes, such methods cannot be utilized. Here, an efficient method is developed for the analysis of irregular structures in the form a regular structure with additional or missing nodes or with additional or missing supports. In this method, the saving in computational time is considerable. The power of the method becomes more apparent when the analysis should be repeated very many times as it is the case in optimal design or non-linear analysis.
M3
ER -