메뉴 건너뛰기




Volumn 20, Issue 2, 2011, Pages 527-537

A novel semianalytical approach for finding pull-in voltages of micro cantilever beams subjected to electrostatic loads and residual stress gradients

Author keywords

Electrostatic load; energy method; finite element (FE) method (FEM); micro cantilever beams; residual stress gradients

Indexed keywords

BEAM STRUCTURES; DESIGN OPTIMIZATION; ELECTROSTATIC LOAD; ENERGY METHOD; FITTED FORMULA; MEMS ACTUATORS; MICRO BEAMS; MICRO CANTILEVER BEAMS; MICROELECTROMECHANICAL SYSTEMS; PARAMETRIC STUDY; PROCESSING PARAMETERS; PULL-IN; PULL-IN VOLTAGE; RESIDUAL STRESS GRADIENTS; SEMI-ANALYTICAL; SEMIANALYTICAL APPROACH; SENSOR AND ACTUATORS; SENSORS AND ACTUATORS; SHAPE FUNCTIONS; THERMOMECHANICAL MISMATCHES;

EID: 79953754299     PISSN: 10577157     EISSN: None     Source Type: Journal    
DOI: 10.1109/JMEMS.2011.2105246     Document Type: Article
Times cited : (28)

References (30)
  • 1
    • 77953794486 scopus 로고    scopus 로고
    • A novel semi-analytical approach for micro beams subjected to electrostatic loads and residual stress gradients
    • San Diego, CA
    • K.-S. Ou, K.-S. Chen, T.-S. Yang, and S.-Y. Lee, "A novel semi-analytical approach for micro beams subjected to electrostatic loads and residual stress gradients," in Proc. ASME IDETC, San Diego, CA, 2009.
    • (2009) Proc. ASME IDETC
    • Ou, K.-S.1    Chen, K.-S.2    Yang, T.-S.3    Lee, S.-Y.4
  • 2
    • 0031168990 scopus 로고    scopus 로고
    • M-test: A test chip for MEMS material property measurement using electrostatically actuated test structures
    • PII S1057715797046003
    • P. M. Osterberg and S. D. Senturia, "M-TEST: A test chip for MEMS material property measurement using electrostatically actuated test structures," J. Microelectromech. Syst., vol. 6, no. 2, pp. 107-118, Jun. 1997. (Pubitemid 127607041)
    • (1997) Journal of Microelectromechanical Systems , vol.6 , Issue.2 , pp. 107-118
    • Osterberg, P.M.1    Senturia, S.D.2
  • 3
    • 0006116259 scopus 로고
    • Electronic determination of the modulus of elasticity and intrinsic stress of thin films using capacitive bridges
    • S. Wang, S. Crary, and K. Najafi, "Electronic determination of the modulus of elasticity and intrinsic stress of thin films using capacitive bridges," in Proc. Mater. Res. Soc. Symp., 1992, pp. 203-208.
    • (1992) Proc. Mater. Res. Soc. Symp. , pp. 203-208
    • Wang, S.1    Crary, S.2    Najafi, K.3
  • 4
    • 0033316194 scopus 로고    scopus 로고
    • Extending the travel range of analog-tuned electrostatic actuators
    • DOI 10.1109/84.809065
    • E. S. Hung and S. D. Senturia, "Extending the travel range of analog-tuned electrostatic actuators," J. Microelectromech. Syst., vol. 8, no. 4, pp. 497-505, Dec. 1999. (Pubitemid 30552578)
    • (1999) Journal of Microelectromechanical Systems , vol.8 , Issue.4 , pp. 497-505
    • Hung, E.S.1    Senturia, S.D.2
  • 5
    • 34547812173 scopus 로고    scopus 로고
    • Command-shaping techniques for electrostatic MEMS actuation: Analysis and simulation
    • DOI 10.1109/JMEMS.2007.893512
    • K.-S. Chen and K.-S. Ou, "Command-shaping techniques for electrostatic MEMS actuation: Analysis and simulation," J. Microelectromech. Syst., vol. 16, no. 3, pp. 537-549, Jun. 2007. (Pubitemid 47241354)
    • (2007) Journal of Microelectromechanical Systems , vol.16 , Issue.3 , pp. 537-549
    • Chen, K.-S.1    Ou, K.-S.2
  • 7
    • 0035605863 scopus 로고    scopus 로고
    • A methodology and model for the pull-in parameters of electrostatic actuators
    • DOI 10.1109/84.967384, PII S1057715701068585
    • Y. Nemirovsky and O. Bochobza-Degani, "A methodology and model for the pull-in parameters of electrostatic actuators," J. Microelectromech. Syst., vol. 10, no. 4, pp. 601-615, Dec. 2001. (Pubitemid 33149204)
    • (2001) Journal of Microelectromechanical Systems , vol.10 , Issue.4 , pp. 601-615
    • Nemirovsky, Y.1    Bochobza-Degani, O.2
  • 8
    • 17444404224 scopus 로고    scopus 로고
    • A closed-form model for the pull-in voltage of electrostatically actuated cantilever beams
    • DOI 10.1088/0960-1317/15/4/012
    • S. Chowdhury, M. Ahmadi, and W. C. Miller, "A closed-form model for the pull-in voltage of electrostatically actuated cantilever beams," J. Micromech. Microeng., vol. 15, no. 4, pp. 756-763, Apr. 2005. (Pubitemid 40541001)
    • (2005) Journal of Micromechanics and Microengineering , vol.15 , Issue.4 , pp. 756-763
    • Chowdhury, S.1    Ahmadi, M.2    Miller, W.C.3
  • 9
    • 0036646594 scopus 로고    scopus 로고
    • Pull-in voltage analysis of electrostatically actuated beam structures with fixed-fixed and fixed-free end conditions
    • DOI 10.1088/0960-1317/12/4/319, PII S0960131702325361
    • S. Pamidighantam, R. Puers, K. Baert, and H. A. C. Tilmans, "Pull-in voltage analysis of electrostatically actuated beam structures with fixed-fixed and fixed-free end conditions," J. Micromech. Microeng., vol. 12, no. 4, pp. 458-464, Jul. 2002. (Pubitemid 34830223)
    • (2002) Journal of Micromechanics and Microengineering , vol.12 , Issue.4 , pp. 458-464
    • Pamidighantam, S.1    Puers, R.2    Baert, K.3    Tilmans, H.A.C.4
  • 10
    • 1242265202 scopus 로고    scopus 로고
    • Development and accuracy assessment of simplified electromechanical coupling solvers for MEMS applications
    • Feb.
    • K.-S. Chen, L.-M. Li, and K.-S. Ou, "Development and accuracy assessment of simplified electromechanical coupling solvers for MEMS applications," J. Micromech. Microeng., vol. 14, no. 2, pp. 159-169, Feb. 2004.
    • (2004) J. Micromech. Microeng. , vol.14 , Issue.2 , pp. 159-169
    • Chen, K.-S.1    Li, L.-M.2    Ou, K.-S.3
  • 12
    • 53649107551 scopus 로고    scopus 로고
    • Pull-in analysis of torsional scanners actuated by electrostatic vertical combdrives
    • Oct.
    • D. Lee and O. Solgaard, "Pull-in analysis of torsional scanners actuated by electrostatic vertical combdrives," J. Microelectromech. Syst., vol. 17, no. 5, pp. 1228-1238, Oct. 2008.
    • (2008) J. Microelectromech. Syst. , vol.17 , Issue.5 , pp. 1228-1238
    • Lee, D.1    Solgaard, O.2
  • 14
    • 0036600512 scopus 로고    scopus 로고
    • A dynamic model, including contact bounce, of an electrostatically actuated microswitch
    • DOI 10.1109/JMEMS.2002.1007406, PII S1057715702049788
    • B. McCarthy, G. G. Adams, N. E. McGruer, and D. Potter, "A dynamic model, including contact bounce, of an electrostatically actuated microswitch," J. Microelectromech. Syst., vol. 11, no. 3, pp. 276-283, Jun. 2002. (Pubitemid 34784512)
    • (2002) Journal of Microelectromechanical Systems , vol.11 , Issue.3 , pp. 276-283
    • McCarthy, B.1    Adams, G.G.2    McGruer, N.E.3    Potter, D.4
  • 15
    • 0032594981 scopus 로고    scopus 로고
    • Speed-energy optimization of electrostatic actuators based on pull-in
    • Sep.
    • L. M. Castaner and S. D. Senturia, "Speed-energy optimization of electrostatic actuators based on pull-in," J. Microelectromech. Syst., vol. 8, no. 3, pp. 290-298, Sep. 1999.
    • (1999) J. Microelectromech. Syst. , vol.8 , Issue.3 , pp. 290-298
    • Castaner, L.M.1    Senturia, S.D.2
  • 16
    • 70350091573 scopus 로고    scopus 로고
    • Mechanical fatigue analysis of gold microbeams for RF-MEMS applications by pull-in voltage monitoring
    • Dec.
    • G. De Pasquale, A. Soma, and A. Ballestra, "Mechanical fatigue analysis of gold microbeams for RF-MEMS applications by pull-in voltage monitoring," Analog Integr. Circuits Signal Process., vol. 61, no. 3, pp. 215-222, Dec. 2009.
    • (2009) Analog Integr. Circuits Signal Process. , vol.61 , Issue.3 , pp. 215-222
    • De Pasquale, G.1    Soma, A.2    Ballestra, A.3
  • 17
    • 64549159716 scopus 로고    scopus 로고
    • Pull-in characterization of doubly-clamped composite beams
    • Apr.
    • M. Nie, Q. Huang, and W. Li, "Pull-in characterization of doubly-clamped composite beams," Sens. Actuators A, Phys., vol. 151, no. 2, pp. 118-126, Apr. 2009.
    • (2009) Sens. Actuators A, Phys. , vol.151 , Issue.2 , pp. 118-126
    • Nie, M.1    Huang, Q.2    Li, W.3
  • 18
    • 0242369160 scopus 로고    scopus 로고
    • Characterization of micromechanical structures using white-light interferometry
    • DOI 10.1088/0957-0233/14/10/310, PII S0957023303629401
    • C. O'Mahony, M. Hill, M. Brunet, R. Duane, and A. Mathewson, "Characterization of micromechanical structures using white-light in-terferometry," Meas. Sci. Technol., vol. 14, no. 10, pp. 1807-1814, Oct. 2003. (Pubitemid 37343293)
    • (2003) Measurement Science and Technology , vol.14 , Issue.10 , pp. 1807-1814
    • O'Mahony, C.1    Hill, M.2    Brunet, M.3    Duane, R.4    Mathewson, A.5
  • 20
    • 84864652090 scopus 로고    scopus 로고
    • Analytical modeling for determination of pull-in voltage for an electrostatic actuated MEMS cantilever beam
    • Orlando, FL
    • L. C. Wei, A. B. Mohammad, and N. M. Kassim, "Analytical modeling for determination of pull-in voltage for an electrostatic actuated MEMS cantilever beam," in Proc. IEEE ISCE, Orlando, FL, 2002, pp. 233-238.
    • (2002) Proc. IEEE ISCE , pp. 233-238
    • Wei, L.C.1    Mohammad, A.B.2    Kassim, N.M.3
  • 21
    • 33947610945 scopus 로고    scopus 로고
    • An analytical model considering the fringing fields for calculating the pull-in voltage of micro curled cantilever beams
    • Jan.
    • Y. C. Hu and C. S. Wei, "An analytical model considering the fringing fields for calculating the pull-in voltage of micro curled cantilever beams," J. Micromech. Microeng., vol. 17, no. 1, pp. 61-67, Jan. 2007.
    • (2007) J. Micromech. Microeng. , vol.17 , Issue.1 , pp. 61-67
    • Hu, Y.C.1    Wei, C.S.2
  • 22
    • 33344470459 scopus 로고    scopus 로고
    • Closed form solutions for the pull-in voltage of micro curled beams subjected to electrostatic loads
    • Mar.
    • Y. C. Hu, "Closed form solutions for the pull-in voltage of micro curled beams subjected to electrostatic loads," J. Micromech. Microeng., vol. 16, no. 3, pp. 648-655, Mar. 2006.
    • (2006) J. Micromech. Microeng. , vol.16 , Issue.3 , pp. 648-655
    • Hu, Y.C.1
  • 24
    • 0001764380 scopus 로고
    • Analysis of bi-metal thermostats
    • Sep.
    • S. P. Timoshenko, "Analysis of bi-metal thermostats," J. Opt. Soc. Amer., vol. 11, no. 3, pp. 233-255, Sep. 1925.
    • (1925) J. Opt. Soc. Amer. , vol.11 , Issue.3 , pp. 233-255
    • Timoshenko, S.P.1
  • 26
    • 34247136227 scopus 로고    scopus 로고
    • Development and verification of 2D dynamic electromechanical coupling solver for micro-electrostatic-actuator applications
    • DOI 10.1016/j.sna.2006.10.042, PII S0924424706006741
    • K.-S. Chen and K.-S. Ou, "Development and verification of 2D dynamic electromechanical coupling solver for micro-electrostatic-actuator applications," Sens. Actuators A, Phys., vol. 136, no. 1, pp. 403-411, May 2007. (Pubitemid 46590658)
    • (2007) Sensors and Actuators, A: Physical , vol.136 , Issue.1 , pp. 403-411
    • Chen, K.-S.1    Ou, K.-S.2
  • 27
    • 0016994667 scopus 로고
    • Analytic IC-metal-line capacitance formulas
    • Sep.
    • W. H. Chang, "Analytic IC-metal-line capacitance formulas," IEEE Trans. Microw. Theory Tech., vol. MTT-24, no. 9, pp. 608-611, Sep. 1976.
    • (1976) IEEE Trans. Microw. Theory Tech. , vol.MTT24 , Issue.9 , pp. 608-611
    • Chang, W.H.1
  • 28
    • 84939011956 scopus 로고
    • Analytic IC-metal-line capacitance formulas
    • Aug.
    • W. H. Chang, "Analytic IC-metal-line capacitance formulas," IEEE Trans. Microw. Theory Tech., vol. MTT-25, no. 8, p. 712, Aug. 1977.
    • (1977) IEEE Trans. Microw. Theory Tech. , vol.MTT25 , Issue.8 , pp. 712
    • Chang, W.H.1
  • 29
    • 0020704286 scopus 로고
    • Simple formulas for two-and three-dimensional capacitances
    • T. Sakurai and K. Tamaru, "Simple formulas for two-and three-dimensional capacitances," IEEE Trans. Electron Devices, vol. ED-30, no. 2, pp. 183-185, Feb. 1983. (Pubitemid 13509113)
    • (1983) IEEE Transactions on Electron Devices , vol.ED-30 , Issue.2 , pp. 183-185
    • Sakurai, T.1    Tamaru, K.2
  • 30
    • 35548974372 scopus 로고    scopus 로고
    • A new formulation of fringing capacitance and its application to the control of parallel-plate electrostatic micro actuators
    • DOI 10.1007/s10470-007-9067-3, Special sections on Selected Papers from DCIS 2005 and DTIP 2006
    • M. Hosseini, G. Zhu, and Y. Peter, "A new formulation of fringing capacitance and its application to the control of parallel-plate electrostatic micro actuators," Analog Integr. Circuits Signal Process., vol. 53, no. 2/3, pp. 119-128, Dec. 2007. (Pubitemid 350010905)
    • (2007) Analog Integrated Circuits and Signal Processing , vol.53 , Issue.2-3 , pp. 119-128
    • Hosseini, M.1    Zhu, G.2    Peter, Y.-A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.