Surface heating and three-dimensional motion of a thermoelastic beam

Zhuangyi Liu; Steven A. Trogdon

doi:10.1016/j.mcm.2009.12.009

Surface heating and three-dimensional motion of a thermoelastic beam

Zhuangyi Liu, Steven A. Trogdon

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we derive the equations for three-dimensional motion and temperature of a thermoelastic beam. The modeling takes into account surface heating and radiation. The model is simplified when the beam cross-section is an annulus with small wall thickness. Well-posedness as well as asymptotic behavior of the solutions are discussed using the semigroup method for the simplified model.

Original language	English (US)
Pages (from-to)	1051-1063
Number of pages	13
Journal	Mathematical and Computer Modelling
Volume	51
Issue number	9-10
DOIs	https://doi.org/10.1016/j.mcm.2009.12.009
State	Published - May 2010

Keywords

Energy decay rate
Radiation
Solar heating
Stability
Thermoelastic beam

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abstract = "In this paper, we derive the equations for three-dimensional motion and temperature of a thermoelastic beam. The modeling takes into account surface heating and radiation. The model is simplified when the beam cross-section is an annulus with small wall thickness. Well-posedness as well as asymptotic behavior of the solutions are discussed using the semigroup method for the simplified model.",

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AB - In this paper, we derive the equations for three-dimensional motion and temperature of a thermoelastic beam. The modeling takes into account surface heating and radiation. The model is simplified when the beam cross-section is an annulus with small wall thickness. Well-posedness as well as asymptotic behavior of the solutions are discussed using the semigroup method for the simplified model.

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KW - Solar heating

KW - Stability

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Surface heating and three-dimensional motion of a thermoelastic beam

Abstract

Keywords

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