Exact analysis and reanalysis methods for structures with nonlinear boundary conditions

G Huang, X Chen, Z Yang, B Wu - Computers & Structures, 2018 - Elsevier
Fast analysis and reanalysis methods are proposed in this work for both static and dynamic
analysis of structures with nonlinear boundary conditions. To ensure the precision and …

Free vibration analysis of locally modified regular structures using shifted inverse iteration method

A Kaveh, H Fazli - Computers & structures, 2012 - Elsevier
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 …

Canonical forms for symmetric and regular structures

A Kaveh, H Fazli - Journal of Mathematical Modelling and Algorithms, 2012 - Springer
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 …

Graph Products Applied to the Regular and Locally Modified Regular Structures Using Iterative Methods

A Kaveh, A Kaveh - Optimal Analysis of Structures by Concepts of …, 2013 - Springer
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 …