Title page for ETD etd-07262006-110955


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.

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