Page 1 |
Save page Remove page | Previous | 1 of 147 | Next |
|
small (250x250 max)
medium (500x500 max)
large ( > 500x500)
Full Resolution
All (PDF)
|
This page
All
Subset |
NONLINEAR DYNAMICS AND NONLINEAR DYNAMICAL SYSTEMS
by
Byungrin Han
------------------------------------------------------------------------------------------------------
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(MECHANICAL ENGINEERING)
August 2007
Copyright 2007 Byungrin Han
Object Description
| Title | Nonlinear dynamics and nonlinear dynamical systems |
| Author | Han, Byungrin |
| Author email | byunghan@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Mechanical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-04-30 |
| Date submitted | 2007 |
| Restricted until | Unrestricted |
| Date published | 2007-06-07 |
| Advisor (committee chair) | Udwadia, Firdaus |
| Advisor (committee member) |
Dravinski, Marijan Proskurowski, Wlodek |
| Abstract | The concept of Dynamics exists everywhere in our lives. As an integral component of daily reality, engineers and scientists research, analyze, and observe the behaviors of dynamics and dynamical systems and their application in our real world activities. As a general rule, dynamical systems are characterized by their nonlinear quality. By their very nature, such systems have presented scientists with enormous difficulty in finding unequivocal solutions to systems, and even when a solution is possible, the path to finding one is extremely complicated. Oftentimes, it has proven virtually impossible to find these solutions. Given the inherent challenges in coming up with solutions to systems, the research that we've focused on has involved four separate but related areas.; In chapter 1 we will present the new general explicit equations of motion for constrained discrete dynamical systems. These systems are characterized by having holonomic and/or non-holonomic constraints, which satisfy D'Alembert's principle at each instant of time. These new equations provide a new and simple method of handling of constrained mechanical systems with the mass matrix that should not be a symmetric and/or positive definite.; In chapter 2 we present a simple and robust approach for tracking the motion of nonlinear mechanical system by dynamically controlling it so that one flying objects follows the motion of another flying object. Recent development in analytical dynamics has led us to establish a set of control forces to create such tracking between nonlinear dynamical systems. By providing an example, the simplicity and efficiency of the method are illustrated.; In chapter 3 we confirm the recursive formulae for the determination of the generalized Moore-Penrose M-inverse of a matrix. We will provide a verification of the formulae using four MP M-properties.; In chapter 4, as part of an application of dynamical systems in a real world setting, we present an approach to understanding the dynamics of terrorism. |
| Keyword | nonlinear dynamics; nonlinear dynamical systems; nonlinear control; tracking control; least square; terrorism |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m515 |
| Rights | Han, Byungrin |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Han-20070607 |
| Archival file | uscthesesreloadpub_Volume62/etd-Han-20070607.pdf |
Description
| Title | Page 1 |
| Full text | NONLINEAR DYNAMICS AND NONLINEAR DYNAMICAL SYSTEMS by Byungrin Han ------------------------------------------------------------------------------------------------------ A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (MECHANICAL ENGINEERING) August 2007 Copyright 2007 Byungrin Han |
Comments
Post a Comment for Page 1
