| Type of Document |
Dissertation |
| Author |
Fulton, Brian I.
|
| Author's Email Address |
bfulton@highpoint.edu |
| URN |
etd-07262006-110955 |
| Title |
Analysis and Approximation of Viscoelastic and Thermoelastic Joint-Beam Systems
|
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Cliff, Eugene M. |
Committee Co-Chair |
| Herdman, Terry L. |
Committee Co-Chair |
| Borggaard, Jeffrey T. |
Committee Member |
| Burns, John A. |
Committee Member |
| Iliescu, Traian |
Committee Member |
|
| Keywords |
- Thermoelastic
- Boltzmann Damping
- Beam Networks
- Semigroup Theory
- Viscoelastic
|
| Date of Defense |
2006-07-21 |
| Availability |
unrestricted |
Abstract
Rigidizable/Inflatable space structures have been the focus of renewed interest in recent years due to efficient packaging for transport. In this work, we examine new mathematical systems used to model small-scale joint dynamics for inflatable space truss structures. We investigate the regularity and asymptotic behavior of systems resulting from various damping models, including Kelvin-Voigt, Boltzmann, and thermoelastic damping. Approximation schemes will also be introduced. Finally, we look at optimal control for the Kelvin-Voigt model using a linear feedback regulator.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
BIF_thesis.pdf |
9.51 Mb |
00:44:00 |
00:22:38 |
00:19:48 |
00:09:54 |
00:00:50 |
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