Date of Award

Fall 2019

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Civil & Environmental Engineering

Committee Director

Duc T. Nguyen

Committee Member

Gene Hou

Committee Member

Yunbyeong Chae

Committee Member

Mojtaba Sirjani

Abstract

Serial Jacobi transformation algorithm for the solution of “standard eigen-problems” is re-visited to facilitate the explanation of the proposed parallel transformation algorithm, for which computational efficiency can be realized in this study through “pattern recognition” for the development and explanation of “explicit formulas” to avoid costly matrix time matrix operations. The proposed parallel Jacobi transformation for the solution of “generalized eigen-problems” has also been incorporated into the “improved damage detection” algorithm.

Computational efficiency and robust behaviors for the entire proposed procedures (eigen-solution, damage detection and damage quantification) can be validated through several academic and real-life numerical examples. Numerical results obtained from this study have indicated that our proposed generalized Jacobi transformation is more robust/reliable as compared to MATLAB eigen-solver. Furthermore, our proposed simple rule of thumb for damage detection of aging bridge structures also give better results than existing algorithms.

Rights

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

DOI

10.25777/7yj7-ww61

ISBN

9781392421819

ORCID

0000-0002-4165-5578

Download

Share

COinS