Thermo-Elastic Dissipation of Microbeam Resonators in the Framework of Generalized Thermo-Elasticity Theory

作者: F. L. Guo

DOI: 10.1080/01495739.2013.818903

关键词: Beam (structure)Aspect ratio (image)Normal modePhysicsClassical mechanicsMechanicsExplicit formulaeResonatorDissipationPhononMicrobeam

摘要: Thermo-elastic dissipation of microbeam resonators is studied by the generalized thermo-elasticity theory Lord and Shulman's model. Explicit formulae thermo-elastic damping frequency shift have been derived. Influences beam height aspect ratio are examined. The thermal relaxation time determined Chester's formula, where phonon velocity replaced flexural wave in microbeam. Numerical results show that discrepancy between present non-Fourier classical ones increase with decrease resonator. For fixed ratios tends to from lower vibration modes higher modes.

参考文章(15)
H.W. Lord, Y. Shulman, A generalized dynamical theory of thermoelasticity Journal of the Mechanics and Physics of Solids. ,vol. 15, pp. 299- 309 ,(1967) , 10.1016/0022-5096(67)90024-5
Yuxin Sun, Hironori Tohmyoh, Thermoelastic damping of the axisymmetric vibration of circular plate resonators Journal of Sound and Vibration. ,vol. 319, pp. 392- 405 ,(2009) , 10.1016/J.JSV.2008.06.017
K. Tunvir, C.Q. Ru, A. Mioduchowski, Effect of cross-sectional shape on thermoelastic dissipation of micro/nano elastic beams International Journal of Mechanical Sciences. ,vol. 62, pp. 77- 88 ,(2012) , 10.1016/J.IJMECSCI.2012.05.015
Z. F. Khisaeva, M. Ostoja-Starzewski, Thermoelastic damping in nanomechanical resonators with finite wave speeds Journal of Thermal Stresses. ,vol. 29, pp. 201- 216 ,(2006) , 10.1080/01495730500257490
J. N. Sharma, Thermoelastic Damping and Frequency Shift in Micro/Nanoscale Anisotropic Beams Journal of Thermal Stresses. ,vol. 34, pp. 650- 666 ,(2011) , 10.1080/01495739.2010.550824
C.Q. Ru, Thermoelastic dissipation of nanowire resonators with surface stress Physica E-low-dimensional Systems & Nanostructures. ,vol. 41, pp. 1243- 1248 ,(2009) , 10.1016/J.PHYSE.2009.02.008
D. S. Chandrasekharaiah, Thermoelasticity with Second Sound: A Review Applied Mechanics Reviews. ,vol. 39, pp. 355- 376 ,(1986) , 10.1115/1.3143705
Armin Saeedi Vahdat, Ghader Rezazadeh, None, Effects of axial and residual stresses on thermoelastic damping in capacitive micro-beam resonators Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 348, pp. 622- 639 ,(2011) , 10.1016/J.JFRANKLIN.2011.01.007
S.J. Wong, C.H.J. Fox, S. McWilliam, Thermoelastic damping of the in-plane vibration of thin silicon rings Journal of Sound and Vibration. ,vol. 293, pp. 266- 285 ,(2006) , 10.1016/J.JSV.2005.09.037
F.L. Guo, G.A. Rogerson, Thermoelastic coupling effect on a micro-machined beam resonator Mechanics Research Communications. ,vol. 30, pp. 513- 518 ,(2003) , 10.1016/S0093-6413(03)00061-2