메뉴 건너뛰기




Volumn 463, Issue 2081, 2007, Pages 1323-1337

Nonlinear non-local elliptic equation modelling electrostatic actuation

Author keywords

Electrostatic actuation; Nonlinear methods; Singularities

Indexed keywords


EID: 36348931123     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2007.1816     Document Type: Article
Times cited : (94)

References (21)
  • 1
    • 0011869496 scopus 로고
    • On a nonlinear differential equation of electrohydrodynamics
    • doi:10.1098/rspa.1969.0145
    • Ackerberg, R. C. 1969 On a nonlinear differential equation of electrohydrodynamics. Proc. R. Soc. A 312, 129-140. (doi:10.1098/rspa.1969.0145)
    • (1969) Proc. R. Soc. A , vol.312 , pp. 129-140
    • Ackerberg, R.C.1
  • 2
    • 0032594981 scopus 로고    scopus 로고
    • Speed-energy optimization of electrostatic actuators based on pull-in
    • doi:10.1109/84.788633
    • Castaner, L. M. & Senturia, S. D. 1999 Speed-energy optimization of electrostatic actuators based on pull-in. IEEE J. Microelectromech. Syst. 8, 290-298. (doi:10.1109/84.788633)
    • (1999) IEEE J. Microelectromech. Syst , vol.8 , pp. 290-298
    • Castaner, L.M.1    Senturia, S.D.2
  • 3
    • 14044270075 scopus 로고    scopus 로고
    • Combined circuit/device modeling and simulation of integrated microfluidic systems
    • doi:10.1109/JMEMS.2004.839025
    • Chatterjee, A. N. & Aluru, N. R. 2005 Combined circuit/device modeling and simulation of integrated microfluidic systems. IEEE J. Microelectromech. Syst. 14, 81-95. (doi:10.1109/JMEMS.2004.839025)
    • (2005) IEEE J. Microelectromech. Syst , vol.14 , pp. 81-95
    • Chatterjee, A.N.1    Aluru, N.R.2
  • 4
    • 3142665401 scopus 로고    scopus 로고
    • Reduced-order modeling of weakly nonlinear MEMS devices with Taylor-series expansion and Arnoldi approach
    • doi:10.1109/JMEMS.2004.828704
    • Chen, J., Kang, S.-M., Zou, J., Liu, C. & Schutt-Aine, J. E. 2004 Reduced-order modeling of weakly nonlinear MEMS devices with Taylor-series expansion and Arnoldi approach. IEEE J. Microelectromech. Syst. 13, 441-451. (doi:10.1109/JMEMS.2004.828704)
    • (2004) IEEE J. Microelectromech. Syst , vol.13 , pp. 441-451
    • Chen, J.1    Kang, S.-M.2    Zou, J.3    Liu, C.4    Schutt-Aine, J.E.5
  • 5
    • 0242636510 scopus 로고    scopus 로고
    • Analytical approach and numerical α-lines method for pull-in hyper-surface extraction of electrostatic actuators with multiple uncoupled voltage sources
    • doi:10.1109/JMEMS.2003.818456
    • Elata, D., Bochobza-Degani, O. & Nemirovsky, Y. 2003 Analytical approach and numerical α-lines method for pull-in hyper-surface extraction of electrostatic actuators with multiple uncoupled voltage sources. IEEE J. Microelectromech. Syst. 12, 681-691. (doi:10.1109/JMEMS.2003.818456)
    • (2003) IEEE J. Microelectromech. Syst , vol.12 , pp. 681-691
    • Elata, D.1    Bochobza-Degani, O.2    Nemirovsky, Y.3
  • 6
    • 0026836670 scopus 로고
    • There's plenty of room at the bottom
    • doi:10.1109/84.128057
    • Feynman, R. P. 1992 There's plenty of room at the bottom. IEEE J. Microelectromech. Syst. 1, 60-66. (doi:10.1109/84.128057)
    • (1992) IEEE J. Microelectromech. Syst , vol.1 , pp. 60-66
    • Feynman, R.P.1
  • 7
    • 84947654804 scopus 로고
    • Infinitesimal machinery
    • doi:10.1109/84.232589
    • Feynman, R. P. 1993 Infinitesimal machinery. IEEE J. Microelectromech. Syst. 2, 4-14. (doi:10.1109/84.232589)
    • (1993) IEEE J. Microelectromech. Syst , vol.2 , pp. 4-14
    • Feynman, R.P.1
  • 8
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • doi:10.1007/BF01221125
    • Gidas, B., Ni, W. M. & Nirenberg, L. 1979 Symmetry and related properties via the maximum principle. Commun. Math. Phys. 68, 209-243. (doi:10.1007/BF01221125)
    • (1979) Commun. Math. Phys , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 10
    • 0032594977 scopus 로고    scopus 로고
    • Generating efficient dynamical models for microelectromechanical systems from a few finite-element simulation runs
    • doi:10.1109/84.788632
    • Hung, E. S. & Senturia, S. D. 1999 Generating efficient dynamical models for microelectromechanical systems from a few finite-element simulation runs. IEEE J. Microelectromech. Syst. 8, 280-289. (doi:10.1109/84.788632)
    • (1999) IEEE J. Microelectromech. Syst , vol.8 , pp. 280-289
    • Hung, E.S.1    Senturia, S.D.2
  • 11
    • 4444381824 scopus 로고    scopus 로고
    • Zero set of Sobolev functions with negative power of integrability
    • doi:10.1142/S0252959904000068
    • Jiang, H. & Lin, F. 2004 Zero set of Sobolev functions with negative power of integrability. Chin. Ann. Math. 25B, 65-72. (doi:10.1142/S0252959904000068)
    • (2004) Chin. Ann. Math , vol.25 B , pp. 65-72
    • Jiang, H.1    Lin, F.2
  • 13
    • 12744278657 scopus 로고    scopus 로고
    • Stable and singular solutions of the equation Δu=1/u
    • doi:10.1512/iumj.2004.53.2560
    • Meadows, A. M. 2004 Stable and singular solutions of the equation Δu=1/u. Indiana Univ. Math. J. 53, 1681-1703. (doi:10.1512/iumj.2004.53.2560)
    • (2004) Indiana Univ. Math. J , vol.53 , pp. 1681-1703
    • Meadows, A.M.1
  • 16
    • 0011908465 scopus 로고
    • The coalescence of closely spaced drops when they are at different electric potentials
    • doi:10.1098/rspa.1968.0159
    • Taylor, G. I. 1968 The coalescence of closely spaced drops when they are at different electric potentials. Proc. R. Soc. A 306, 423-434. (doi:10.1098/rspa.1968.0159)
    • (1968) Proc. R. Soc. A , vol.306 , pp. 423-434
    • Taylor, G.I.1
  • 17
    • 85020828522 scopus 로고    scopus 로고
    • Taylor, G. I. 1971 In Scientific papers, IV (ed. G. K. Batchelor) Mechanics of fluids: miscellaneous papers, pp. 3-16. London, UK; New York, NY: Cambridge University Press.
    • Taylor, G. I. 1971 In Scientific papers, vol. IV (ed. G. K. Batchelor) Mechanics of fluids: miscellaneous papers, pp. 3-16. London, UK; New York, NY: Cambridge University Press.
  • 18
    • 0000031198 scopus 로고
    • Symmetry properties in systems of semilinear elliptic equations
    • doi:10.1016/0022-0396(81) 90113-3
    • Troy, W. C. 1981 Symmetry properties in systems of semilinear elliptic equations. J. Diff. Eqns. 42, 400-413. (doi:10.1016/0022-0396(81) 90113-3)
    • (1981) J. Diff. Eqns , vol.42 , pp. 400-413
    • Troy, W.C.1
  • 19
    • 0030245947 scopus 로고    scopus 로고
    • Computation of static shapes and voltages for micromachined deformable mirrors with nonlinear electrostatic actuators
    • doi:10.1109/84.536627
    • Wang, P. K. C. & Hadaegh, F. Y. 1996 Computation of static shapes and voltages for micromachined deformable mirrors with nonlinear electrostatic actuators. IEEE J. Microelectromech. Syst. 5, 205-220. (doi:10.1109/84.536627)
    • (1996) IEEE J. Microelectromech. Syst , vol.5 , pp. 205-220
    • Wang, P.K.C.1    Hadaegh, F.Y.2
  • 20
    • 0032022531 scopus 로고    scopus 로고
    • Optimal shape design of an electrostatic comb drive in microelectromechanical systems
    • Ye, W., Mukherjee, S. & MacDonald, N. C. 1998 Optimal shape design of an electrostatic comb drive in microelectromechanical systems. IEEE J. Microelectromech. Syst. 5, 16-26.
    • (1998) IEEE J. Microelectromech. Syst , vol.5 , pp. 16-26
    • Ye, W.1    Mukherjee, S.2    MacDonald, N.C.3
  • 21
    • 0242636509 scopus 로고    scopus 로고
    • A reduced-order model for electrically actuated micobeam-based MEMS
    • doi:10.1109/JMEMS.2003.818069
    • Younis, M. I., Abdel-Rahman, E. M. & Nayfeh, A. 2003 A reduced-order model for electrically actuated micobeam-based MEMS. IEEE J. Microelectromech. Syst. 12, 672-680. (doi:10.1109/JMEMS.2003.818069)
    • (2003) IEEE J. Microelectromech. Syst , vol.12 , pp. 672-680
    • Younis, M.I.1    Abdel-Rahman, E.M.2    Nayfeh, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.