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Forschung im Ingenieurwesen

Erschienen in:

02.06.2022 | Originalarbeiten/Originals

Nonlinear vibration for a micro electromagnetic harmonic drive system

verfasst von: Dan Zhao, Lizhong Xu, Yuming Fu

Erschienen in: Forschung im Ingenieurwesen | Ausgabe 4/2022

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Abstract

In this paper, a nonlinear dynamics equation for a micro electromagnetic harmonic drive system is proposed considering nonlinearity caused by the molecule force applied to the flexible ring. Using the equations, the nonlinear resonant frequencies and the amplitude frequency characteristics of the drive system are investigated. Effects of the molecule force nonlinearity on the resonant frequencies and the amplitude-frequency characteristics and their changes along with system parameters are analyzed. Results show that the nonlinear effect of van der Waals forces on system vibration should be considered when the coil current and the radius of the flexible wheel are large, the thickness of the flexible wheel or the gap between the flexible wheel and the stator is small. The jump vibration zone of the flexible wheel reduces significantly with increasing the exciting current in the coil, the length of the flexible wheel, and the nonlinear parameter, or decreasing the thickness of the flexible wheel.

Vorheriger Artikel Steel-steel QN worm gear and its implementation in gearboxes

Nächster Artikel Geometric characteristics of helicoid of planar enveloping toroidal worm

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Wang C, Yang P, Zhang L (2006) Summary of status on the harmonic gear driving technology. J Mech Transm 30:536–567

Davey K (2009) A harmonic gear like motor. In: 2009 IEEE International Electric Machines and Drives Conference (IEMDC 2009) Miami, FL, USA, May 03–06. vol 1–3, pp 1789–1794

Trimmer W, Jebens R (1989) Harmonic electrostatic motors. Sensors Actuators 20:17–24CrossRef

Sun Y, Gu Z, Liu G, Li Q (2017) Design of measurement and control system for the efficiency test of spacecraft harmonic drive mechanism. In: 8th International Conference on Mechanical and Aerospace Engineering (ICMAE) Prague, Czech Republic, July 22–25, pp 704–708

Liu R, Zhang Y, Wang Y (2015) An efficient conformal mapping method for air gap magnetic field analytical calculation in an eccentric magnetic harmonic gear. In: 2015 IEEE International Conference on Applied Superconductivity and Electromagnetic Devices (ASEMD) Shanghai, China, November 20–23, pp 74–75CrossRef

Judy MW (2004) Evolution of integrated inertial MEMS technology. In: Solid-State Sensor, Actuator and Microsystems Workshop, Hilton Head Island, pp 27–30

Bell DJ, Lu TJ, Fleck NA, Spearing SM (2005) MEMS actuators and sensors: observations on their performance and selection for purpose. J Micromech Microeng 15(7):S153–S164CrossRef

Fedder GK, Howe RT, Liu T‑JK, Quevy EP (2008) Technologies for cofabricating MEMS and electronics. Proc Ieee 96(2):306–322CrossRef

Zhao D, Fu YM, Xu LZ (2021) Torque and displacement for a micro electromagnetic harmonic drive system. Forsch Ingenieurwes 85(1):139–151CrossRef

10.

Batra RC, Porfiri M, Spinello D (2008) Reduced-order models for microelectromechanical rectangular and circular plates incoporating the Casimir force. Int J Solids Struct 45(11–12):3558–3583CrossRefMATH

11.

Abtahi M, Vossoughi G, Meghdari A (2014) Effects of the van der Waals force, squeeze-film damping, and contact bounce on the dynamics of electrostatic microcantilevers before and after pull-in. Nonlinear Dyn 77(1–2):87–98CrossRef

12.

Yu J‑Y (1998) Van der Waals force. In: Marshall CP, Fairbridge RW (eds) Geochemistry. Springer, Doordrecht, pp 655–656CrossRef

13.

Koochi A, Noghrehabadi A, Abadyan M (2011) Approximating the effect of van der Waals force on the instability of electrostatic nano-cantilevers. Int J Mod Phys B 25(29):3965–3976CrossRefMATH

14.

Guan YW, Gao SQ, Shen L, He YL (2013) Study on effect of van der Waals force and Casimir force to Microsystem. Appl Mech Mater 336–338:944–948CrossRef

15.

Chen C, Li S, Dai L, Qian CZ (2014) Buckling and stability analysis of a piezoelectric viscoelastic nanobeam subjected to van der Waals forces. Commun Nonlinear Sci Numer Simul 19(5):1626–1637MathSciNetCrossRefMATH

16.

Bhojawala VM, Vakharia DP (2017) Effect of van der Waals force on pull-in voltage, frequency tuning and frequency stability of NEMS devices. Microsyst Technol 23:1255–1267CrossRef

17.

Tang Y, Liu Y (2018) Effect of van der Waals force on wave propagation in viscoelastic double-walled carbon nanotubes. Mod Phys Lett B 32(24):1850291MathSciNetCrossRef

18.

Lin SM, Tsai CL, Lee HC (2019) Effects of size dependency and axial deformation on the dynamic behavior of an AFM subjected to van der Waals force based on the modified couple stress theory. Precis Eng 56:203–210CrossRef

19.

Zhao P, Li Y (2020) Correlation between the normal position of a particle on a rough surface and the van der Waals force. Colloids Surfaces A: Physicochem Eng Aspects 585(20):124096CrossRef

20.

Vanani SMF, Beni YT (2021) Investigation of the surface roughness effect on the nonlinear size-dependent pull-in instability of the beam-type nano-actuator. Indian J Phys 95:253–265CrossRef

21.

Lee S, Howell S, Raman A, Reifenberger R (2002) Nonliner dynamics of microcantilevers in tappingmode atomic force microscopy: a comparison between theory and experiment. Phys Rev, B Condens Matter 66(11):115409CrossRef

22.

Batra RC, Porfiri M, Spinello D (2008) Effects of van der Waals force and thermal stresses on pull-in instability of clamped rectangular microplates. Sensors 8(2):1048–1069CrossRef

23.

Askari AR, Tahani M (2012) Investigating nonlinear vibration of a fully clamped nanobeam in presence of the van der Waals attraction. Appl Mech Mater 226–228:181–185CrossRef

24.

Caruntu DI, Oyervides R (2014) Primary resonance voltage response of electrostatically actuated M/NEMS circular plate resonators. J Comput Nonlinear Dyn. https://doi.org/10.1115/DSCC2014-6277CrossRefMATH

25.

Caruntu DI, Oyervides R (2016) Voltage response of primary resonance of electrostatically actuated MEMS clamped circular plate resonators. J Comput Nonlinear Dyn 11(4):41021CrossRefMATH

26.

Caruntu DI, Oyervides R (2017) Frequency response reduced order model of primary resonance of electrostatically actuated mems circular plate resonators. Commun Nonlinear Sci Numer Simul 43:261–270CrossRefMATH

27.

Mohammadian M (2017) Application of the variational iteration method to nonlinear vibrations of nanobeams induced by the van der Waals force under different boundary conditions. Eur Phys J Plus 132:169CrossRef

28.

Bo S, Cai K, Jiao S, Yi MX, Qin Q (2018) Coupling effect of van der Waals, centrifugal, and frictional forces on a GHz rotation-translation nano-convertor. Phys Chem Chem Phys 21(1):359–368

29.

Korayem AH, Imani F, Korayem MH (2019) Analysis of the atomic force microscopy vibration behavior using the Timoshenko theory by multi-scale method in the air environment. Microsc Res Tech 82(10):1787–1801CrossRef

30.

Huang Y, Chen J, Zhao M, Feng M (2021) Electromechanical coupling characteristics of double-layer piezoelectric quasicrystal actuators. Int J Mech Sci 196(15):106293CrossRef

Titel: Nonlinear vibration for a micro electromagnetic harmonic drive system
verfasst von: Dan Zhao
Lizhong Xu
Yuming Fu
Publikationsdatum: 02.06.2022
Verlag: Springer Berlin Heidelberg
Erschienen in: Forschung im Ingenieurwesen / Ausgabe 4/2022
Print ISSN: 0015-7899
Elektronische ISSN: 1434-0860
DOI: https://doi.org/10.1007/s10010-022-00587-x

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