Title :
Stability and Galerkin approximation in thermoelastic models
Author_Institution :
Department of Mathematical Sciences, 323 Bryan Building, University of North Carolina at Greensboro, Greensboro, NC 27412. (fabiano@uncg.edu)
Abstract :
We consider the coupled partial differential equations which arise in modeling linear thermoelastic structures. We review stability properties of the distributed parameter model, particularly as related to the choice of norm on the state space. We discuss the choice of norm for two models-one with elastic dynamics governed by a wave equation and the other by an Euler-Bernoulli beam equation. We discuss the implications for stability as well as Galerkin approximations.
Keywords :
Boundary conditions; Buildings; Damping; Mathematical model; Mechanical energy; Partial differential equations; State-space methods; Thermal stability; Thermoelasticity; Thermomechanical processes;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1582535
