Effect of temperature dependent material properties on thermoelastic damping in thin beams

Hengliang Zhang, Seonho Kim, Geehong Choi, Danmei Xie, Hyung Hee Cho

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Accurate analysis and control of thermoelastic damping in thin beams are crucial for the design of high-performance components such as interferometric gravitational-wave detectors and micro- and nanomechanical resonators. The nonlinear thermoelasticity due to temperature dependent material properties may be the dominant source of energy dissipation and thermal noise in some cases. In this paper, the effect of temperature dependent material properties on thermoelastic damping is investigated. Governing equations for nonlinear coupled thermoelasticity in a thin beam with temperature dependent material properties are described and the perturbation method is used to treat the governing equations. An analytical model of thermoelastic damping is derived from the definition of thermoelastic damping, and a coefficient ξ is introduced into the analytical model to represent the effect of temperature dependent material properties. Numerical results of the coefficient ξ in a silicon thin beam with temperature dependent material properties are presented and validated by the experimental results. From the obtained numerical results, one can suppress the effect of temperature dependent material properties by reducing the initial amplitude, cooling the beam and selecting suitable boundary conditions and mode shapes.

Original languageEnglish
Pages (from-to)1031-1036
Number of pages6
JournalInternational Journal of Heat and Mass Transfer
Volume139
DOIs
Publication statusPublished - 2019 Aug

Fingerprint

Materials properties
Damping
damping
thermoelasticity
Thermoelasticity
Temperature
temperature
Analytical models
Thermal noise
Gravity waves
modal response
thermal noise
Silicon
coefficients
gravitational waves
Resonators
Energy dissipation
energy dissipation
resonators
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Zhang, Hengliang ; Kim, Seonho ; Choi, Geehong ; Xie, Danmei ; Cho, Hyung Hee. / Effect of temperature dependent material properties on thermoelastic damping in thin beams. In: International Journal of Heat and Mass Transfer. 2019 ; Vol. 139. pp. 1031-1036.
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Effect of temperature dependent material properties on thermoelastic damping in thin beams. / Zhang, Hengliang; Kim, Seonho; Choi, Geehong; Xie, Danmei; Cho, Hyung Hee.

In: International Journal of Heat and Mass Transfer, Vol. 139, 08.2019, p. 1031-1036.

Research output: Contribution to journalArticle

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T1 - Effect of temperature dependent material properties on thermoelastic damping in thin beams

AU - Zhang, Hengliang

AU - Kim, Seonho

AU - Choi, Geehong

AU - Xie, Danmei

AU - Cho, Hyung Hee

PY - 2019/8

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AB - Accurate analysis and control of thermoelastic damping in thin beams are crucial for the design of high-performance components such as interferometric gravitational-wave detectors and micro- and nanomechanical resonators. The nonlinear thermoelasticity due to temperature dependent material properties may be the dominant source of energy dissipation and thermal noise in some cases. In this paper, the effect of temperature dependent material properties on thermoelastic damping is investigated. Governing equations for nonlinear coupled thermoelasticity in a thin beam with temperature dependent material properties are described and the perturbation method is used to treat the governing equations. An analytical model of thermoelastic damping is derived from the definition of thermoelastic damping, and a coefficient ξ is introduced into the analytical model to represent the effect of temperature dependent material properties. Numerical results of the coefficient ξ in a silicon thin beam with temperature dependent material properties are presented and validated by the experimental results. From the obtained numerical results, one can suppress the effect of temperature dependent material properties by reducing the initial amplitude, cooling the beam and selecting suitable boundary conditions and mode shapes.

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