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Erschienen in: Microsystem Technologies 7/2007

01.04.2007 | Technical Paper

Investigation of the torsion and bending effects on static stability of electrostatic torsional micromirrors

verfasst von: Ghader Rezazadeh, Faraz Khatami, Ahmadali Tahmasebi

Erschienen in: Microsystem Technologies | Ausgabe 7/2007

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Abstract

In this paper the electromechanical behavior of a torsional micromirror was investigated using of a static model with considering torsion and bending characteristics of micro-beams. A set of nonlinear equations based on the parallel plate capacitor model was derived to represent the relationships between the applied voltage, torsion angle, and vertical displacement of the torsional micromirror. Step by step linearization method (Newton’s method) was used to calculate the rotation angle and vertical displacement of the micromirror due to the applied voltage. This method is fast and gave acceptable and accurate results which were in good agreement with the experimental data.

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Literatur
Zurück zum Zitat Afrang S, Rezazadeh Gh (2004) Design and simulation of simple and varying section cantilever and fixed–fixed end types MEMS switches, ICSE Proceedings 2004, Kuala Lumpur Afrang S, Rezazadeh Gh (2004) Design and simulation of simple and varying section cantilever and fixed–fixed end types MEMS switches, ICSE Proceedings 2004, Kuala Lumpur
Zurück zum Zitat Cohn RW (1992) Link analysis of a deformable mirror device based optical crossbar switch. Opt Eng 31(1):134–140CrossRef Cohn RW (1992) Link analysis of a deformable mirror device based optical crossbar switch. Opt Eng 31(1):134–140CrossRef
Zurück zum Zitat Degani O, Socher E, Lipson A, Leitner T, Setter DJ, Kaldor S, Nemirovskey Y (1998) Pull-in study of an electrostatic torsion micromirror. J Microelectromech Syst 7, No. 4, December Degani O, Socher E, Lipson A, Leitner T, Setter DJ, Kaldor S, Nemirovskey Y (1998) Pull-in study of an electrostatic torsion micromirror. J Microelectromech Syst 7, No. 4, December
Zurück zum Zitat Dickensheets DL, Kino RG (1998) Silicon-micromachined scanning confocal optical microscope. J Microelectromech Syst 7:38–47CrossRef Dickensheets DL, Kino RG (1998) Silicon-micromachined scanning confocal optical microscope. J Microelectromech Syst 7:38–47CrossRef
Zurück zum Zitat Ford JE, Aksyuk VA, Bishop DJ, Walker JA (1999) Wavelength add-drop switching using tilting micromirrors. J Lightwave Technol 17:904–911CrossRef Ford JE, Aksyuk VA, Bishop DJ, Walker JA (1999) Wavelength add-drop switching using tilting micromirrors. J Lightwave Technol 17:904–911CrossRef
Zurück zum Zitat Hornbeck LJ (1983) 128 × 128 deformable mirror devices. IEEE Trans Electron Devices ED-30(5):539–545 Hornbeck LJ (1983) 128  ×  128 deformable mirror devices. IEEE Trans Electron Devices ED-30(5):539–545
Zurück zum Zitat Hornbeck LJ (1989) Deformable-mirror spatial light modulators, Spatial Light Modulators and Applications III. SPIE Crit 1150:86–102 Hornbeck LJ (1989) Deformable-mirror spatial light modulators, Spatial Light Modulators and Applications III. SPIE Crit 1150:86–102
Zurück zum Zitat Hornbeck LJ (1991) Spatial light modulator and method, US Pat 5:061– 049 Hornbeck LJ (1991) Spatial light modulator and method, US Pat 5:061– 049
Zurück zum Zitat Huang JM, Liu AQ, Deng ZL, Zhang QX, Ahn J, Asundi A (2004) An approach to the coupling effect between torsion and bending for electrostatic torsional micromirrors. Sens Actuators A 115:159–167CrossRef Huang JM, Liu AQ, Deng ZL, Zhang QX, Ahn J, Asundi A (2004) An approach to the coupling effect between torsion and bending for electrostatic torsional micromirrors. Sens Actuators A 115:159–167CrossRef
Zurück zum Zitat Kurth S, Hahn R, Kanfmann C, Kehr K, Mehner J, Wollmann V, Dotzel W, Gessner T (1998) Silicon mirrors and micromirror arrays for spatial laser beam modulation. Sens and Actuators A 66:76–82CrossRef Kurth S, Hahn R, Kanfmann C, Kehr K, Mehner J, Wollmann V, Dotzel W, Gessner T (1998) Silicon mirrors and micromirror arrays for spatial laser beam modulation. Sens and Actuators A 66:76–82CrossRef
Zurück zum Zitat Lin T-H (1994) Implementation and characterization of a flexure-beam micromechanical spatial light modulator. Opt Eng 33(11):3643–3648CrossRef Lin T-H (1994) Implementation and characterization of a flexure-beam micromechanical spatial light modulator. Opt Eng 33(11):3643–3648CrossRef
Zurück zum Zitat Muller RS, Lau KY (1998) Surface-micromachined microoptical elements and systems. Proc IEEE 86(8):1705–1720CrossRef Muller RS, Lau KY (1998) Surface-micromachined microoptical elements and systems. Proc IEEE 86(8):1705–1720CrossRef
Zurück zum Zitat Petersen KE (1980) Silicon torsional scanning mirror. IBM J Res Dev 24(5):631–637CrossRef Petersen KE (1980) Silicon torsional scanning mirror. IBM J Res Dev 24(5):631–637CrossRef
Zurück zum Zitat Rezazadeh Gh, Tahmasebi A, Mikhail Zubtsov (2006) Application of piezoelectric layers in electrostatic MEM actuators: controlling of pull-in voltage. J Microsyst Technol 12(12):1163–1170CrossRef Rezazadeh Gh, Tahmasebi A, Mikhail Zubtsov (2006) Application of piezoelectric layers in electrostatic MEM actuators: controlling of pull-in voltage. J Microsyst Technol 12(12):1163–1170CrossRef
Zurück zum Zitat Sadeghian H, Rezazadeh Gh, Malekpour E (2006) Pull-in phenomenon investigation of nanoelectromechanical systems. J Phys Conf Ser 34:1123–1126CrossRef Sadeghian H, Rezazadeh Gh, Malekpour E (2006) Pull-in phenomenon investigation of nanoelectromechanical systems. J Phys Conf Ser 34:1123–1126CrossRef
Zurück zum Zitat H Sadeghian, Rezazadeh Gh, Ayla Shafipour, E Malekpou (2006) Pull-in voltage of fixed–fixed end type MEMS switches with variative electrostatic area. J Sens Transducers 66(4):526–533 H Sadeghian, Rezazadeh Gh, Ayla Shafipour, E Malekpou (2006) Pull-in voltage of fixed–fixed end type MEMS switches with variative electrostatic area. J Sens Transducers 66(4):526–533
Zurück zum Zitat Pouria Soleymani, Hamed Sadeghian, Ahmadali Tahmasebi, Ghader Rezazadeh (2006) Pull-in instability investigation of circular micro pump subjected to nonlinear electrostatic force. J Sens Transducers 69(7):622–628 Pouria Soleymani, Hamed Sadeghian, Ahmadali Tahmasebi, Ghader Rezazadeh (2006) Pull-in instability investigation of circular micro pump subjected to nonlinear electrostatic force. J Sens Transducers 69(7):622–628
Zurück zum Zitat Timoshenko SP, Goodier JN (1970) Theory of elasticity, 3rd edn. McGraw-Hill New York, sec 109 Timoshenko SP, Goodier JN (1970) Theory of elasticity, 3rd edn. McGraw-Hill New York, sec 109
Zurück zum Zitat Toshiyoshi H, Fujita H (1996) Electrostatic micro torsion mirrors for an optical switch matrix. J Microelectromech Syst 5:231–237CrossRef Toshiyoshi H, Fujita H (1996) Electrostatic micro torsion mirrors for an optical switch matrix. J Microelectromech Syst 5:231–237CrossRef
Zurück zum Zitat Van Kessel PF, Hornbeck LJ, Meier RE, Douglass MR (1998) MEMS-based projection display. Proc IEEE 86(8):1687– 1704CrossRef Van Kessel PF, Hornbeck LJ, Meier RE, Douglass MR (1998) MEMS-based projection display. Proc IEEE 86(8):1687– 1704CrossRef
Zurück zum Zitat Walker JA (2000) The future of MEMS in telecommunications networks. J Micromech Microeng 10:R1–R7CrossRef Walker JA (2000) The future of MEMS in telecommunications networks. J Micromech Microeng 10:R1–R7CrossRef
Zurück zum Zitat Zhao JP, Cheu HL, Huang JM, Liu AQ (2005) A study of dynamic characteristics and simulation of MEMS torsional micromirrors. Sens Actuators A 120:199–210CrossRef Zhao JP, Cheu HL, Huang JM, Liu AQ (2005) A study of dynamic characteristics and simulation of MEMS torsional micromirrors. Sens Actuators A 120:199–210CrossRef
Metadaten
Titel
Investigation of the torsion and bending effects on static stability of electrostatic torsional micromirrors
verfasst von
Ghader Rezazadeh
Faraz Khatami
Ahmadali Tahmasebi
Publikationsdatum
01.04.2007
Verlag
Springer-Verlag
Erschienen in
Microsystem Technologies / Ausgabe 7/2007
Print ISSN: 0946-7076
Elektronische ISSN: 1432-1858
DOI
https://doi.org/10.1007/s00542-006-0362-1

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