On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers
This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The an...
Ausführliche Beschreibung
Autor*in: |
Binh Duc Truong [verfasserIn] Cuong Phu Le [verfasserIn] Einar Halvorsen [verfasserIn] |
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Sprache: |
Englisch |
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2019 |
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Übergeordnetes Werk: |
In: Sensors - MDPI AG, 2003, 19(2019), 17, p 3770 |
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Übergeordnetes Werk: |
volume:19 ; year:2019 ; number:17, p 3770 |
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DOI / URN: |
10.3390/s19173770 |
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Katalog-ID: |
DOAJ086567977 |
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10.3390/s19173770 doi (DE-627)DOAJ086567977 (DE-599)DOAJ144529cc65f042b2b08b8c2a4502c596 DE-627 ger DE-627 rakwb eng TP1-1185 Binh Duc Truong verfasserin aut On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. lateral instability MEMS electrostatic transducer static pull-in Chemical technology Cuong Phu Le verfasserin aut Einar Halvorsen verfasserin aut In Sensors MDPI AG, 2003 19(2019), 17, p 3770 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:19 year:2019 number:17, p 3770 https://doi.org/10.3390/s19173770 kostenfrei https://doaj.org/article/144529cc65f042b2b08b8c2a4502c596 kostenfrei https://www.mdpi.com/1424-8220/19/17/3770 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 19 2019 17, p 3770 |
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10.3390/s19173770 doi (DE-627)DOAJ086567977 (DE-599)DOAJ144529cc65f042b2b08b8c2a4502c596 DE-627 ger DE-627 rakwb eng TP1-1185 Binh Duc Truong verfasserin aut On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. lateral instability MEMS electrostatic transducer static pull-in Chemical technology Cuong Phu Le verfasserin aut Einar Halvorsen verfasserin aut In Sensors MDPI AG, 2003 19(2019), 17, p 3770 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:19 year:2019 number:17, p 3770 https://doi.org/10.3390/s19173770 kostenfrei https://doaj.org/article/144529cc65f042b2b08b8c2a4502c596 kostenfrei https://www.mdpi.com/1424-8220/19/17/3770 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 19 2019 17, p 3770 |
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10.3390/s19173770 doi (DE-627)DOAJ086567977 (DE-599)DOAJ144529cc65f042b2b08b8c2a4502c596 DE-627 ger DE-627 rakwb eng TP1-1185 Binh Duc Truong verfasserin aut On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. lateral instability MEMS electrostatic transducer static pull-in Chemical technology Cuong Phu Le verfasserin aut Einar Halvorsen verfasserin aut In Sensors MDPI AG, 2003 19(2019), 17, p 3770 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:19 year:2019 number:17, p 3770 https://doi.org/10.3390/s19173770 kostenfrei https://doaj.org/article/144529cc65f042b2b08b8c2a4502c596 kostenfrei https://www.mdpi.com/1424-8220/19/17/3770 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 19 2019 17, p 3770 |
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10.3390/s19173770 doi (DE-627)DOAJ086567977 (DE-599)DOAJ144529cc65f042b2b08b8c2a4502c596 DE-627 ger DE-627 rakwb eng TP1-1185 Binh Duc Truong verfasserin aut On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. lateral instability MEMS electrostatic transducer static pull-in Chemical technology Cuong Phu Le verfasserin aut Einar Halvorsen verfasserin aut In Sensors MDPI AG, 2003 19(2019), 17, p 3770 (DE-627)331640910 (DE-600)2052857-7 14248220 nnns volume:19 year:2019 number:17, p 3770 https://doi.org/10.3390/s19173770 kostenfrei https://doaj.org/article/144529cc65f042b2b08b8c2a4502c596 kostenfrei https://www.mdpi.com/1424-8220/19/17/3770 kostenfrei https://doaj.org/toc/1424-8220 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2111 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 19 2019 17, p 3770 |
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On the Lateral Instability Analysis of MEMS Comb-Drive Electrostatic Transducers |
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This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. |
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This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. |
abstract_unstemmed |
This paper investigates the lateral pull-in effect of an in-plane overlap-varying transducer. The instability is induced by the translational and rotational displacements. Based on the principle of virtual work, the equilibrium conditions of force and moment in lateral directions are derived. The analytical solutions of the critical voltage, at which the pull-in phenomenon occurs, are developed when considering only the translational stiffness or only the rotational stiffness of the mechanical spring. The critical voltage in a general case is numerically determined by using nonlinear optimization techniques, taking into account the combined effect of translation and rotation. The influences of possible translational offsets and angular deviations to the critical voltage are modeled and numerically analyzed. The investigation is then expanded for the first time to anti-phase operation mode and Bennet’s doubler configuration of the two transducers. |
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|
score |
7.3974905 |