Concepts from different fields of mathematics are combined to obtain powerful tools and
algorithms for efficient analysis of structures. Many structures are either symmetric or regular …

In this paper, block circulant matrices and their properties are investigated. Basic concepts
and the necessary theorems are presented and then their applications are discussed. It is …

A structure is called regular if its model can be considered as a product graph. A great
computational advantage of regular structures, especially in the context of free vibration …

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 …

In this paper, a new combined graph-group method is proposed for eigensolution of special
graphs. Symmetric regular graphs are the subject of this study. Many structural models can …

Purpose–In the analysis of some near‐regular structures one can solve the regular part
independently and then superimpose the effect of the additional part. For such models, the …

The inverse of the stiffness matrices of a large group of repeated and regular structures were
previously obtained using graph products. Considering the importance of increasing the …

This paper aims to describe the technique to analyse quasi-symmetric structures being
subject to a general load. The paper introduces a general way of describing the symmetry …

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 …

The graph model of many space structures and finite element models can be formed using
graph products. These structures are known as regular structures. Methods for calculating …