Type of Document Dissertation Author Fulton, Brian I. Author's Email Address firstname.lastname@example.org 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
- Boltzmann Damping
- Beam Networks
- Semigroup Theory
Date of Defense 2006-07-21 Availability unrestricted AbstractRigidizable/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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