Login | Register

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

Title:

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.

[thumbnail of MR45450.pdf]
Preview
Text (application/pdf)
MR45450.pdf - Accepted Version
1MB

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
Identification Number:LE 3 C66M43M 2008 A5
ID Code:976170
Deposited By: Concordia University Library
Deposited On:22 Jan 2013 16:21
Last Modified:13 Jul 2020 20:09
Related URLs:
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.

Repository Staff Only: item control page

Downloads per month over past year

Research related to the current document (at the CORE website)
- Research related to the current document (at the CORE website)
Back to top Back to top