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2021 | OriginalPaper | Buchkapitel

3. Analytical Modelling

verfasst von : Kirill Poletkin

Erschienen in: Levitation Micro-Systems

Verlag: Springer International Publishing

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Abstract

To fully benefit from inductive levitation and utilize its advantages in L-micro-systems such as

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Literatur
1.
Zurück zum Zitat I. Ciric, Electromagnetic levitation in axially symmetric systems. Rev. Roum. Sci. Tech. Ser. Electrotech. Energ 15(1), 35–73 (1970) I. Ciric, Electromagnetic levitation in axially symmetric systems. Rev. Roum. Sci. Tech. Ser. Electrotech. Energ 15(1), 35–73 (1970)
2.
Zurück zum Zitat Z. Lu, F. Jia, J. Korvink, U. Wallrabe, V. Badilita, Design optimization of an electromagnetic microlevitation System based on copper wirebonded coils, in 2012 Power MEMS (Atlanta, GA, USA 2012) pp. 363–366 Z. Lu, F. Jia, J. Korvink, U. Wallrabe, V. Badilita, Design optimization of an electromagnetic microlevitation System based on copper wirebonded coils, in 2012 Power MEMS (Atlanta, GA, USA 2012) pp. 363–366
3.
Zurück zum Zitat C.B. Williams, C. Shearwood, P.H. Mellor, Modeling and testing of a frictionless levitated micromotor. Sensor. Actuat. A-Phys. 61, 469–473 (1997)CrossRef C.B. Williams, C. Shearwood, P.H. Mellor, Modeling and testing of a frictionless levitated micromotor. Sensor. Actuat. A-Phys. 61, 469–473 (1997)CrossRef
4.
Zurück zum Zitat W. Zhang, W. Chen, X. Zhao, X. Wu, W. Liu, X. Huang, S. Shao, The study of an electromagnetic levitating micromotor for application in a rotating gyroscope. Sensor. Actuat. A-Phys. 132(2), 651–657 (2006)CrossRef W. Zhang, W. Chen, X. Zhao, X. Wu, W. Liu, X. Huang, S. Shao, The study of an electromagnetic levitating micromotor for application in a rotating gyroscope. Sensor. Actuat. A-Phys. 132(2), 651–657 (2006)CrossRef
6.
Zurück zum Zitat E. Laithwaite, Electromagnetic levitation. Proc. Inst. Electr. Eng. 112(12), 2361–2375 (1965)CrossRef E. Laithwaite, Electromagnetic levitation. Proc. Inst. Electr. Eng. 112(12), 2361–2375 (1965)CrossRef
7.
Zurück zum Zitat S. Babic, F. Sirois, C. Akyel, C. Girardi, Mutual inductance calculation between circular filaments arbitrarily positioned in space: alternative to Grovers formula. IEEE Trans. Magn. 46, 3591–3600 (2010)CrossRef S. Babic, F. Sirois, C. Akyel, C. Girardi, Mutual inductance calculation between circular filaments arbitrarily positioned in space: alternative to Grovers formula. IEEE Trans. Magn. 46, 3591–3600 (2010)CrossRef
11.
Zurück zum Zitat Y.G. Martynenko, Analytical Dynamics of Electromechanical Systems (Izd. Mosk. Ehnerg. Inst, Moscow, 1985) Y.G. Martynenko, Analytical Dynamics of Electromechanical Systems (Izd. Mosk. Ehnerg. Inst, Moscow, 1985)
12.
Zurück zum Zitat V.I. Arnol’d, Mathematical Methods of Classical Mechanics, vol. 60 (Springer Science & Business Media, Berlin, 2013) V.I. Arnol’d, Mathematical Methods of Classical Mechanics, vol. 60 (Springer Science & Business Media, Berlin, 2013)
13.
Zurück zum Zitat J.C. Maxwell, A Treatise on Electricity and Magnetism, vol. 2, 3 edn. (Dover Publications Inc., 1954) J.C. Maxwell, A Treatise on Electricity and Magnetism, vol. 2, 3 edn. (Dover Publications Inc., 1954)
14.
Zurück zum Zitat K. Poletkin, A.I. Chernomorsky, C. Shearwood, U. Wallrabe, An analytical model of micromachined electromagnetic inductive contactless suspension, in the ASME 2013 International Mechanical Engineering Congress & Exposition (ASME, San Diego, California, USA 2013) pp. V010T11A072–V010T11A072 https://doi.org/10.1115/IMECE2013-66010 K. Poletkin, A.I. Chernomorsky, C. Shearwood, U. Wallrabe, An analytical model of micromachined electromagnetic inductive contactless suspension, in the ASME 2013 International Mechanical Engineering Congress & Exposition (ASME, San Diego, California, USA 2013) pp. V010T11A072–V010T11A072 https://​doi.​org/​10.​1115/​IMECE2013-66010
15.
Zurück zum Zitat D.R. Merkin, in Introduction to the Theory of Stability, vol. 24, ed. by F.F. Afagh, A.L. Smirnov (Springer Science & Business Media, Berlin, 2012) D.R. Merkin, in Introduction to the Theory of Stability, vol. 24, ed. by F.F. Afagh, A.L. Smirnov (Springer Science & Business Media, Berlin, 2012)
16.
Zurück zum Zitat B.P. Demidovich, Lectures on the Mathematical Theory of Stability (Nauka, Moscow, 1967)MATH B.P. Demidovich, Lectures on the Mathematical Theory of Stability (Nauka, Moscow, 1967)MATH
17.
Zurück zum Zitat O.N. Kirillov, Nonconservative Stability Problems of Modern Physics, vol. 14 (Walter de Gruyter, 2013) O.N. Kirillov, Nonconservative Stability Problems of Modern Physics, vol. 14 (Walter de Gruyter, 2013)
18.
Zurück zum Zitat I. Metelitsyn, On gyroscopic stabilization. Dokl. Akad. Nauk SSSR 86, 31–34 (1952)MathSciNet I. Metelitsyn, On gyroscopic stabilization. Dokl. Akad. Nauk SSSR 86, 31–34 (1952)MathSciNet
19.
Zurück zum Zitat A.P. Seyranian, A.A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications, vol. 13 (World Scientific, 2003) A.P. Seyranian, A.A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications, vol. 13 (World Scientific, 2003)
20.
Zurück zum Zitat A. Seyranian, W. Kliem, Metelitsyn’s inequality and stability criteria in mechanical problems, in Physics and Control, 2003. Proceedings. 2003 International Conference, vol. 4 (2003), pp. 1096–1101 A. Seyranian, W. Kliem, Metelitsyn’s inequality and stability criteria in mechanical problems, in Physics and Control, 2003. Proceedings. 2003 International Conference, vol. 4 (2003), pp. 1096–1101
21.
Zurück zum Zitat C. Williams, C. Shearwood, P. Mellor, A. Mattingley, M. Gibbs, R. Yates, Initial fabrication of a micro-induction gyroscope. Microelectron. Eng. 30(1–4), 531–534 (1996)CrossRef C. Williams, C. Shearwood, P. Mellor, A. Mattingley, M. Gibbs, R. Yates, Initial fabrication of a micro-induction gyroscope. Microelectron. Eng. 30(1–4), 531–534 (1996)CrossRef
22.
Zurück zum Zitat C. Shearwood, K.Y. Ho, C.B. Williams, H. Gong, Development of a levitated micromotor for application as a gyroscope. Sensor. Actuat. A-Phys. 83(1–3), 85–92 (2000)CrossRef C. Shearwood, K.Y. Ho, C.B. Williams, H. Gong, Development of a levitated micromotor for application as a gyroscope. Sensor. Actuat. A-Phys. 83(1–3), 85–92 (2000)CrossRef
23.
Zurück zum Zitat V. Badilita, M. Pauls, K. Kratt, U. Wallrabe, Contactless magnetic micro-bearing based on 3D solenoidal micro-coils for advanced powerMEMS components. Proc. of PowerMEMS 2009, 87–90 (2009) V. Badilita, M. Pauls, K. Kratt, U. Wallrabe, Contactless magnetic micro-bearing based on 3D solenoidal micro-coils for advanced powerMEMS components. Proc. of PowerMEMS 2009, 87–90 (2009)
24.
Zurück zum Zitat I. Sari, M. Kraft, A MEMS Linear Accelerator for Levitated Micro-objects. Sensor. Actuat. A-Phys. 222, 15–23 (2015)CrossRef I. Sari, M. Kraft, A MEMS Linear Accelerator for Levitated Micro-objects. Sensor. Actuat. A-Phys. 222, 15–23 (2015)CrossRef
Metadaten
Titel
Analytical Modelling
verfasst von
Kirill Poletkin
Copyright-Jahr
2021
DOI
https://doi.org/10.1007/978-3-030-58908-0_3

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