As conventional approaches for calculating natural frequencies do not make full use of the
inherent symmetry of a structure, the rising degree of freedoms often leads to significant …

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 …

This paper deals with free vibration reanalysis for structural topological modifications with
added degrees of freedom. A modified initial analysis system (MIAS) is first constructed to …

Laplacian matrices and their spectrum are of great importance in algebraic graph theory.
There exist efficient formulations for eigensolutions of the Laplacian matrices associated …

In this paper a numerical method is proposed based on single vector iterations for finding a
few natural frequencies and mode shapes of the modified regular systems. The proposed …

Matrices associated with symmetric and regular structures can be arranged into certain
block patterns known as Canonical forms. Using such forms, the decomposition of structural …

A structure is regular if its model can be represented as a product graph. Regular structures
have certain properties that facilitate their optimal static and free vibration analysis. In this …

In this chapter, graph products are employed to study various kinds of regular structural
patterns. The emphasis is on the eigensolution of the finite element models associated with …