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Reduction of discrete and finite element models using boundary characteristic, orthogonal vectors

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Reduction of discrete and finite element models using boundary characteristic, orthogonal vectors

Al Khoury, Raghdan Joseph (2008) Reduction of discrete and finite element models using boundary characteristic, orthogonal vectors. Masters thesis, Concordia University.

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Abstract

Solution of large eigenvalue problems is time consuming. Large eigenvalue problems of discrete models can occur in many cases, especially in Finite Element analysis of structures with large number of degrees of freedom. Many studies have proposed reduction of the size of eigenvalue problems which are quite well known today. In the current study a survey of the existing model reduction methods is presented. A new proposed method is formulated and compared with the earlier studies, namely, static and dynamic condensation methods which are presented in detail. Many case studies are presented. The proposed model reduction method is based on the boundary characteristic orthogonal polynomials in the Rayleigh-Ritz method. This method is extended to discrete models and the admissible functions are replaced by vectors. Gram-Schmidt orthogonalization was used in the first case study to generate the orthogonal vectors in order to reduce a building model. Further, a more general method is presented and it is mainly used to reduce FEM models. Results have shown many advantages for the new method.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Mechanical and Industrial Engineering
Item Type:Thesis (Masters)
Authors:Al Khoury, Raghdan Joseph
Pagination:xii, 96 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:M.A. Sc.
Program:Mechanical and Industrial Engineering
Date:2008
Thesis Supervisor(s):Bhat, Rama B
ID Code:976170
Deposited By: Concordia University Library
Deposited On:22 Jan 2013 16:21
Last Modified:18 Jan 2018 17:41
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