메뉴 건너뛰기




Volumn 17, Issue 2, 2008, Pages 494-502

Theory of thermoelastic damping in micromechanical resonators with two-dimensional heat conduction

Author keywords

Design methodology; Material science and technology; Thermoelasticity

Indexed keywords

BEAM GEOMETRIES; DESIGN METHODOLOGY; FLEXURAL MODES; GREEN'S FUNCTION METHODS; HEAT-CONDUCTION EQUATIONS; INFINITE SERIES; LOW LOSS; MATERIAL SCIENCE AND TECHNOLOGY; MEMS DESIGNS; MICRO BEAMS; MICRO-ELECTRO MECHANICAL SYSTEMS; MICRO-MECHANICAL RESONATORS; MODE SHAPES; NANOMECHANICAL RESONATORS; REPRESENTATIVE CASE; SINGLE-CRYSTAL SILICONS; STRUCTURAL BOUNDARIES; THERMOELASTIC DAMPING; TWO-DIMENSIONAL HEAT CONDUCTIONS;

EID: 64449087982     PISSN: 10577157     EISSN: None     Source Type: Journal    
DOI: 10.1109/JMEMS.2008.916316     Document Type: Article
Times cited : (135)

References (40)
  • 2
    • 64649103739 scopus 로고
    • Uber elasticsche Nachwirkung, elasticsche Hysteresis und innere Reibung
    • K. Bennewitz, "Uber elasticsche Nachwirkung, elasticsche Hysteresis und innere Reibung," Phys. Z., vol. 17, pp. 417-431, 1924.
    • (1924) Phys. Z , vol.17 , pp. 417-431
    • Bennewitz, K.1
  • 3
    • 25744459153 scopus 로고
    • Internal friction in solids I: Theory of internal friction in reeds
    • Aug
    • C. Zener, "Internal friction in solids I: Theory of internal friction in reeds," Phys. Rev., vol. 52, no. 3, pp. 230-235, Aug. 1937.
    • (1937) Phys. Rev , vol.52 , Issue.3 , pp. 230-235
    • Zener, C.1
  • 4
    • 0003168583 scopus 로고
    • Internal friction in solids II: General theory of thermoelastic internal friction
    • Jan
    • C. Zener, "Internal friction in solids II: General theory of thermoelastic internal friction," Phys. Rev., vol. 53, no. 1, pp. 90-99, Jan. 1938.
    • (1938) Phys. Rev , vol.53 , Issue.1 , pp. 90-99
    • Zener, C.1
  • 5
    • 0025557607 scopus 로고
    • The effect of thermoelastic internal friction on the Q of micromachined silicon resonators
    • Hilton Head, SC
    • T. V. Roszhart, "The effect of thermoelastic internal friction on the Q of micromachined silicon resonators," in Proc. Solid-State Sens. Actuator Workshop Tech. Dig., Hilton Head, SC, 1990, pp. 13-16.
    • (1990) Proc. Solid-State Sens. Actuator Workshop Tech. Dig , pp. 13-16
    • Roszhart, T.V.1
  • 8
    • 0036772239 scopus 로고    scopus 로고
    • Thermoelastic damping in fine-grained polysilicon flexural beam resonators
    • Oct
    • V. T. Srikar and S. D. Senturia, "Thermoelastic damping in fine-grained polysilicon flexural beam resonators," J. Microelectromech. Syst. vol. 11, no. 5, pp. 499-504, Oct. 2002.
    • (2002) J. Microelectromech. Syst , vol.11 , Issue.5 , pp. 499-504
    • Srikar, V.T.1    Senturia, S.D.2
  • 9
    • 33745180534 scopus 로고    scopus 로고
    • Quality factor in trench-refilled polysilicon beam resonators
    • Jun
    • R. Abdolvand, H. Johari, G. K. Ho, A. Erbil, and F. Ayazi, "Quality factor in trench-refilled polysilicon beam resonators," J. Microelectromech. Syst., vol. 15, no. 3, pp. 471-478, Jun. 2006.
    • (2006) J. Microelectromech. Syst , vol.15 , Issue.3 , pp. 471-478
    • Abdolvand, R.1    Johari, H.2    Ho, G.K.3    Erbil, A.4    Ayazi, F.5
  • 10
    • 0037438906 scopus 로고    scopus 로고
    • Experimental study of thermoelastic damping in MEMS gyros
    • Jan
    • A. Duwel, J. Gorman, M. Weinstein, J. Borenstein, and P. Ward, "Experimental study of thermoelastic damping in MEMS gyros," Sens. Actuators A, Phys., vol. 103, no. 1/2, pp. 70-75, Jan. 2003.
    • (2003) Sens. Actuators A, Phys , vol.103 , Issue.1-2 , pp. 70-75
    • Duwel, A.1    Gorman, J.2    Weinstein, M.3    Borenstein, J.4    Ward, P.5
  • 12
    • 34249006603 scopus 로고    scopus 로고
    • Thermoelastic damping in bilayered micromechanical beam resonators
    • Mar
    • S. Prabhakar and S. Vengallatore, "Thermoelastic damping in bilayered micromechanical beam resonators," J. Micromech. Microeng., vol. 17, no. 3, pp. 532-538, Mar. 2007.
    • (2007) J. Micromech. Microeng , vol.17 , Issue.3 , pp. 532-538
    • Prabhakar, S.1    Vengallatore, S.2
  • 13
    • 27944498933 scopus 로고    scopus 로고
    • Analysis of thermoelastic damping in laminated composite micromechanical beam resonators
    • Dec
    • S. Vengallatore, "Analysis of thermoelastic damping in laminated composite micromechanical beam resonators," J. Micromech. Microeng. vol. 15, no. 12, pp. 2398-2404, Dec. 2005.
    • (2005) J. Micromech. Microeng , vol.15 , Issue.12 , pp. 2398-2404
    • Vengallatore, S.1
  • 14
    • 64649090533 scopus 로고    scopus 로고
    • Thermoelastic coupling in flexural microresonators: Damping and frequency shifts
    • Toronto, ON, Canada, Jun. 3-7, CD-ROM
    • S. Prabhakar and S. Vengallatore, "Thermoelastic coupling in flexural microresonators: Damping and frequency shifts," in Proc. 21st CANCAM Toronto, ON, Canada, Jun. 3-7, 2007. (CD-ROM).
    • (2007) Proc. 21st CANCAM
    • Prabhakar, S.1    Vengallatore, S.2
  • 15
    • 85014052572 scopus 로고
    • A second-law analysis of thermoelastic damping
    • V. K. Kinra and K. B. Milligan, "A second-law analysis of thermoelastic damping," Trans. ASME, J. Appl. Mech., vol. 61, no. 1, pp. 71-76, 1994.
    • (1994) Trans. ASME, J. Appl. Mech , vol.61 , Issue.1 , pp. 71-76
    • Kinra, V.K.1    Milligan, K.B.2
  • 16
    • 0000018940 scopus 로고    scopus 로고
    • Thermoelastic damping in micro- and nanomechanical systems
    • Feb
    • R. Lifshitz and M. Roukes, "Thermoelastic damping in micro- and nanomechanical systems," Phys. Rev. B, Condens. Matter, vol. 61, no. 8, pp. 5600-5609, Feb. 2000.
    • (2000) Phys. Rev. B, Condens. Matter , vol.61 , Issue.8 , pp. 5600-5609
    • Lifshitz, R.1    Roukes, M.2
  • 17
    • 33750062245 scopus 로고    scopus 로고
    • Theory of thermoelastic damping in electrostatically actuated microstructures
    • Oct
    • S. K. De and N. R. Aluru, "Theory of thermoelastic damping in electrostatically actuated microstructures," Phys. Rev. B, Condens. Matter, vol. 74, no. 14, p. 144 305, Oct. 2006.
    • (2006) Phys. Rev. B, Condens. Matter , vol.74 , Issue.14 , pp. 144-305
    • De, S.K.1    Aluru, N.R.2
  • 18
    • 0036567575 scopus 로고    scopus 로고
    • Thermoelastic loss observed in a high Q mechanical oscillator
    • May
    • D. M. Photiadis, B. H. Houston, X. Liu, J. A. Bucaro and M. H. Marcus, "Thermoelastic loss observed in a high Q mechanical oscillator," Physica B, vol. 316/317, pp. 408-410, May 2002.
    • (2002) Physica B , vol.316-317 , pp. 408-410
    • Photiadis, D.M.1    Houston, B.H.2    Liu, X.3    Bucaro, J.A.4    Marcus, M.H.5
  • 19
    • 33644946794 scopus 로고    scopus 로고
    • Thermoelastic damping of the in-plane vibration of thin silicon rings
    • May
    • S. J. Wong, C. H. J. Fox, and S. McWilliam, "Thermoelastic damping of the in-plane vibration of thin silicon rings," J. Sound Vib., vol. 293, no. 1/2, pp. 266-285, May 2006.
    • (2006) J. Sound Vib , vol.293 , Issue.1-2 , pp. 266-285
    • Wong, S.J.1    Fox, C.H.J.2    McWilliam, S.3
  • 20
    • 33845525994 scopus 로고    scopus 로고
    • Engineering MEMS resonators with low thermoelastic damping
    • Dec
    • A. Duwel, R. N. Candler, T. W. Kenny, and M. Varghese, "Engineering MEMS resonators with low thermoelastic damping," J. Microelectromech. Syst., vol. 15, no. 6, pp. 1437-1445, Dec. 2006.
    • (2006) J. Microelectromech. Syst , vol.15 , Issue.6 , pp. 1437-1445
    • Duwel, A.1    Candler, R.N.2    Kenny, T.W.3    Varghese, M.4
  • 21
    • 0031094897 scopus 로고    scopus 로고
    • Elastothermodynamic damping in laminated composites
    • Mar
    • J. E. Bishop and V. K. Kinra, "Elastothermodynamic damping in laminated composites," Int. J. Solids Struct., vol. 34, no. 9, pp. 1075-1092, Mar. 1997.
    • (1997) Int. J. Solids Struct , vol.34 , Issue.9 , pp. 1075-1092
    • Bishop, J.E.1    Kinra, V.K.2
  • 22
    • 19344370106 scopus 로고
    • On the propagation of thermoelastic disturbances in thin plates and rods
    • Apr.-Jun
    • P. Chadwick, "On the propagation of thermoelastic disturbances in thin plates and rods," J. Mech. Phys. Solids, vol. 10, no. 2, pp. 99-109, Apr.-Jun. 1962.
    • (1962) J. Mech. Phys. Solids , vol.10 , Issue.2 , pp. 99-109
    • Chadwick, P.1
  • 23
    • 0005144943 scopus 로고
    • On the general theory of thermo-elastic friction
    • Jan
    • J. B. Alblas, "On the general theory of thermo-elastic friction," Appl. Sci. Res., vol. 10, no. 1, pp. 349-362, Jan. 1961.
    • (1961) Appl. Sci. Res , vol.10 , Issue.1 , pp. 349-362
    • Alblas, J.B.1
  • 24
    • 0019585443 scopus 로고
    • A note on the theory of thermoelastic damping
    • J. B. Alblas, "A note on the theory of thermoelastic damping," J. Therm. Stress., vol. 4, no. 3/4, pp. 333-355, 1981.
    • (1981) J. Therm. Stress , vol.4 , Issue.3-4 , pp. 333-355
    • Alblas, J.B.1
  • 25
    • 0015200712 scopus 로고
    • Dynamic instability of a cantilever column subjected to a follower force including thermomechanical coupling effect
    • R.-C. Shieh, "Dynamic instability of a cantilever column subjected to a follower force including thermomechanical coupling effect," Trans. ASME, J. Appl. Mech., vol. 38, pp. 839-846, 1971.
    • (1971) Trans. ASME, J. Appl. Mech , vol.38 , pp. 839-846
    • Shieh, R.-C.1
  • 26
    • 0016519827 scopus 로고
    • Thermoelastic vibration and damping for circular Timoshenko beams
    • R.-C. Shieh, "Thermoelastic vibration and damping for circular Timoshenko beams," Trans. ASME, J. Appl.Mech., vol. 42, no. 2, pp. 405-410, 1975.
    • (1975) Trans. ASME, J. Appl.Mech , vol.42 , Issue.2 , pp. 405-410
    • Shieh, R.-C.1
  • 27
    • 0018447164 scopus 로고
    • Eigensolutions for coupled thermoelastic vibrations of Timoshenko beams
    • R.-C. Shieh, "Eigensolutions for coupled thermoelastic vibrations of Timoshenko beams," Trans. ASME, J. Appl.Mech., vol. 46, no. 1, pp. 169-174, 1979.
    • (1979) Trans. ASME, J. Appl.Mech , vol.46 , Issue.1 , pp. 169-174
    • Shieh, R.-C.1
  • 30
    • 21444451424 scopus 로고    scopus 로고
    • D. Daering, T. Thundat, S. Jeon, and M. Nicholson, Modal analysis of microcantilever sensors with environmental damping, J. Appl. Phys. 97, no. 8, pp. 084 902.1-084 902.6, Apr. 2005.
    • D. Daering, T. Thundat, S. Jeon, and M. Nicholson, "Modal analysis of microcantilever sensors with environmental damping," J. Appl. Phys. vol. 97, no. 8, pp. 084 902.1-084 902.6, Apr. 2005.
  • 34
    • 64649105915 scopus 로고    scopus 로고
    • W. Thomson, Mathematical and Physical Papers, 1. Cambridge, U.K.: Cambridge Univ. Press, 1882.
    • W. Thomson, Mathematical and Physical Papers, vol. 1. Cambridge, U.K.: Cambridge Univ. Press, 1882.
  • 38
    • 16344375894 scopus 로고    scopus 로고
    • Gorsky damping in nanomechanical structures
    • Jun
    • S. Vengallatore, "Gorsky damping in nanomechanical structures," Scr. Mater., vol. 52, no. 12, pp. 1265-1268, Jun. 2005.
    • (2005) Scr. Mater , vol.52 , Issue.12 , pp. 1265-1268
    • Vengallatore, S.1
  • 39
    • 0037302392 scopus 로고    scopus 로고
    • Materials selection in micromechanical design: An application of the Ashby approach
    • Feb
    • V. T. Srikar and S. M. Spearing, "Materials selection in micromechanical design: An application of the Ashby approach," J. Microelectromech. Syst., vol. 12, no. 1, pp. 3-10, Feb. 2003.
    • (2003) J. Microelectromech. Syst , vol.12 , Issue.1 , pp. 3-10
    • Srikar, V.T.1    Spearing, S.M.2
  • 40
    • 0142004209 scopus 로고    scopus 로고
    • Micro-Raman measurement of bending stresses in micromachined silicon flexures
    • Dec
    • V. T. Srikar, A. K. Swan, M. S. Unlu, B. B. Goldberg, and S. M. Spearing, "Micro-Raman measurement of bending stresses in micromachined silicon flexures," J. Microelectromech. Syst., vol. 12, no. 6, pp. 779-787, Dec. 2003.
    • (2003) J. Microelectromech. Syst , vol.12 , Issue.6 , pp. 779-787
    • Srikar, V.T.1    Swan, A.K.2    Unlu, M.S.3    Goldberg, B.B.4    Spearing, S.M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.