Publication Date

2008

Document Type

Dissertation/Thesis

First Advisor

Datta, Biswa Nath

Degree Name

Ph.D. (Doctor of Philosophy)

Legacy Department

Department of Mathematical Sciences

LCSH

Eigenvalues

Abstract

This dissertation is devoted to the study of quadratic inverse eigenvalue problems from theoretical, computational and applications points of view. Special attention is given to two important practical engineering problems: finite element model updating and substructured quadratic inverse eigenvalue problems. Because of their importance these problems have been well studied and there now exists a voluminous body of work, especially on finite element model updating, both by academic researchers and practicing engineers. Unfortunately, many of the existing industrial techniques are ad hoc in nature and lack solid mathematical foundation and sophisticated state-of-the-art computational techniques. In this dissertation, some of the existing engineering techniques and industrial practices have been explained, whenever possible, by providing mathematical explanations with the help of new results on the underlying quadratic inverse eigenvalue problems, and based on these results, new techniques of model updating and substructured quadratic inverse eigenvalue problems have been proposed. These results will contribute to advancement of the state-of-the-art knowledge in applied and computational mathematics, and mechanical vibrations and structural engineering. They will also impact the industries, such as automobile and aerospace companies, where these problems are routinely solved in their design and manufacturing.

Comments

Includes bibliographical references (pages 97-102)

Extent

v, 102 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

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