Asymptotic behavior of a planar flexible network with thermal effects

Author

Han, Zhong-Jie ; Xu, Gen-Qi

Author_Institution

Dept. of Math., Tianjin Univ., Tianjin, China

fYear

2012

fDate

25-27 July 2012

Firstpage

1248

Lastpage

1253

Abstract

In this paper, we study the thermal effects on the asymptotic behavior of a simple planar network of elasticities with variable coefficients. Assume that the network consists of three edges. the exterior vertices of the network are clamped. The conservative laws (self-adjoint conditions) are fulfilled at the common vertex. We prove that the network is well-posedness based on the semigroup setting. Then we obtain that the solution of the network system decays to zero exponentially by the frequency domain method together with the multiplier techniques.

Keywords

flexible structures; frequency-domain analysis; network theory (graphs); thermoelasticity; asymptotic behavior; conservative laws; exponential decays; exterior vertices; frequency domain method; multiplier techniques; network edges; network system; network well-posedness; planar flexible network; self-adjoint conditions; semigroup setting; thermal effects; thermoelasticity; variable coefficients; Asymptotic stability; Control theory; Elasticity; Equations; Heating; Thermal stability; network; stability; thermo-elasticity;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390116