Analysis and Approximation of Viscoelastic and Thermoelastic Joint-Beam Systems

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.

Name thesis:degree_name

Ph. D.

Level thesis:degree_level

doctoral

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2006

Author dc:creator

• Fulton, Brian I.

Chairs dc:contributor.committeechair

• Cliff, Eugene M.
• Herdman, Terry L.

Committee members dc:contributor.committeemember

• Burns, John A.
• Iliescu, Traian
• Borggaard, Jeffrey T.

• Thermoelastic
• Boltzmann Damping
• Beam Networks
• Semigroup Theory
• Viscoelastic

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-07262006-110955

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/28406