Structural-Parametric Model Multilayer Electromagnetoelastic Actuator for Nanomechatronics

Sergey Mikhailovich Afonin^1,

¹National Research University of Electronic Technology (Moscow Institute of Electronic Technology, MIET), Moscow, Russia

Cite this paper:
Sergey Mikhailovich Afonin. Structural-Parametric Model Multilayer Electromagnetoelastic Actuator for Nanomechatronics. International Journal of Physics. 2019; 7(2):50-57. doi: 10.12691/ijp-7-2-3

Abstract

In this work, the structural-parametric model and the parametric structural schematic diagram of the multilayer electromagnetoelastic actuator for nanomechatronics are received. The purpose of the research is to obtain structural-parametric model of the multilayer electromagnetoelastic actuator for the nanomechatronics systems. The method of mathematical physics is used to solve the matrix equation of the multilayer electromagnetoelastic actuator for its structural-parametric model. The generalized parametric structural schematic diagrams of the multilayer electromagnetoelastic actuator or the multilayer piezoactuator for nanomechatronics with the mechanical parameters the displacement and the force are determined in contrast to Cady and Mason¡¯s electrical equivalent circuits for the calculation of the piezotransmitter, the piezoreceiver, the vibration piezomotor. We obtain the generalized structural-parametric model and the generalized parametric structural schematic diagram of the multilayer electromagnetoelastic actuator from the general equation of the electromagnetoelasticity and determination of the caused force, the system of the equations for the equivalent quadripole of the multilayer actuator, the equations of the forces on its faces. The decision matrix equation for the equivalent quadripole of the multilayer electromagnetoelastic actuator is used. The parametric structural schematic diagram of multilayer electromagnetoelastic actuator is obtained with the mechanical parameters the displacement and the force. The matrix transfer function of the multilayer electromagnetoelastic actuator is determined for nanomechatronics. The generalized parametric structural schematic diagram, the generalized matrix equation of the multilayer electromagnetoelastic actuator for nanomechatronics are obtained. The deformations of the multilayer electromagnetoelastic actuator for nanomechatronics are described by the matrix equation. The parametric structural schematic diagram and the matrix transfer function of the multilayer piezoactuator are obtained for calculations the nanomechatronics systems with the multilayer piezoactuator of micro and nanodisplacement.

Keywords:
multilayer electromagnetoelastic actuator multilayer piezoactuator piezolayer structural-parametric model equivalent quadripole parametric structural schematic diagram matrix transfer function

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References:

[1]	Schultz J., Ueda J., Asada H. Cellular Actuators. Oxford: Butterworth-Heinemann Publisher, 2017. 382 p.
[2]	Springer Handbook of Nanotechnology. Ed. by B. Bhushan. Berlin, New York: Springer, 2004, 1222 p.
[3]	Przybylski J. "Static and dynamic analysis of a flextensional transducer with an axial piezoelectric actuation," Engineering structures, 2015, 84, 140-151.
[4]	Ueda J., Secord T., Asada H. H. "Large effective-strain piezoelectric actuators using nested cellular architecture with exponential strain amplification mechanisms," IEEE/ASME transactions on mechatronics, 2010, 15, 5, 770-782.
[5]	Karpelson, M., Wei, G.-Y., Wood, R.J. "Driving high voltage piezoelectric actuators in microrobotic applications," Sensors and actuators A: Physical, 2012, 176, 78-89.
[6]	Afonin, S.M. "Solution of the wave equation for the control of an elecromagnetoelastic transduser," Doklady mathematics, 73, 2, 307-313, 2006.
[7]	Afonin, S.M. "Structural parametric model of a piezoelectric nanodisplacement transduser," Doklady physics, 53, 3, 137-143, 2008.
[8]	Afonin, S.M. "Electromagnetoelastic Actuator for Nanomechanics," Global journal of research in engineering: A Mechanical and mechanics engineering, 18, 2, 19-23, 2018.
[9]	Afonin, S.M. "Multilayer electromagnetoelastic actuator for robotics systems of nanotechnology," Proceedings of the 2018 IEEE Conference of Russian Young Researchers in Electrical and Electronic Engineering (EIConRus), 2018, pp. 1698-1701.
[10]	Yang, Y., Tang, L. "Equivalent circuit modeling of piezoelectric energy harvesters," Journal of intelligent material systems and structures, 20, 18, 2223-2235, 2009.
[11]	Cady, W.G. Piezoelectricity an introduction to the theory and applications of electromechancial phenomena in crystals. New York, London: McGraw-Hill Book Company, 1946, 806 p.
[12]	Physical Acoustics: Principles and Methods. () Vol.1. Part A. Methods and Devices. Ed.: W. Mason. New York: Academic Press, 1964, 515 p.
[13]	Zwillinger, D. Handbook of Differential Equations. Boston: Academic Press, 1989, 673 p.
[14]	Afonin, S.M. "Structural-parametric model and transfer functions of electroelastic actuator for nano- and microdisplacement," Chapter Piezoelectrics and Nanomaterials: Fundamentals, Developments and Applications. Ed. I.A. Parinov. New York: Nova Science, 2015, pp. 225-242.
[15]	Afonin, S.M. "Structural-parametric model electromagnetoelastic actuator nano- and microdisplacement for precision engineering," Precision engineering. Engineering and technology, 3, 6, 110-119, 2016.
[16]	Afonin, S.M. "Structural-parametric models and transfer functions of electromagnetoelastic actuators nano- and microdisplacement for mechatronic systems," International journal of theoretical and applied mathematics, 2, 2, 52-59, 2016.
[17]	Afonin, S.M. "Parametric structural diagram of a piezoelectric converter," Mechanics of solids, 37, 6, 85-91, 2002.
[18]	Afonin, S.M. "Deformation, fracture, and mechanical characteristics of a compound piezoelectric transducer," Mechanics of solids, 38, 6, 78-82, 2003.
[19]	Afonin, S.M. "Parametric block diagram and transfer functions of a composite piezoelectric transducer," Mechanics of solids, 39, 4, 119-127, 2004.
[20]	Afonin, S.M. "Generalized parametric structural model of a compound elecromagnetoelastic transduser," Doklady physics, 50, 2, 77-82, 2005.
[21]	Afonin, S.M. "Design static and dynamic characteristics of a piezoelectric nanomicrotransducers," Mechanics of solids, 45, 1, 123-132, 2010.
[22]	Afonin, S.M. "Electromechanical deformation and transformation of the energy of a nano-scale piezomotor," Russian engineering research, 31, 7, 638-642, 2011.
[23]	Afonin, S.M. "Electroelasticity problems for multilayer nano- and micromotors," Russian engineering research, 31, 9, 842-847, 2011.
[24]	Afonin, S.M. "Nano- and micro-scale piezomotors," Russian engineering research, 32, 7-8, 519-522, 2012.
[25]	Afonin, S.M. "Optimal control of a multilayer submicromanipulator with a longitudinal piezo effect," Russian engineering research, 35, 12, 907-910, 2015.
[26]	Afonin, S.M. "Block diagrams of a multilayer piezoelectric motor for nano- and microdisplacements based on the transverse piezoeffect," Journal of computer and systems sciences international, 54, 3, 424-439, 2015.
[27]	Afonin, S.M. "Absolute stability conditions for a system controlling the deformation of an elecromagnetoelastic transduser," Doklady mathematics, 74, 3, 943-948, 2006.
[28]	Afonin, S.M. "Elastic compliances and mechanical and adjusting characteristics of composite piezoelectric transducers," Mechanics of solids, 42, 1, 43-49, 2007.
[29]	Afonin, S.M. "Static and dynamic characteristics of a multy-layer electroelastic solid," Mechanics of solids, 44, 6, 935-950, 2009.
[30]	Afonin, S.M. "Structural-parametric model electromagnetoelastic actuator nanodisplacement for mechatronics," International journal of physics, 5, 1, 9-15, 2017.
[31]	Afonin, S.M. "A structural-parametric model of electroelastic actuator for nano- and microdisplacement of mechatronic system," Chapter Advances in nanotechnology. Volume 19. Eds. Z. Bartul, J Trenor, New York: Nova Science, 2017, pp. 259-284.
[32]	Afonin, S.M. "Electromagnetoelastic nano- and microactuators for mechatronic systems," Russian engineering research, 38, 12, 938-944, 2018.
[33]	Afonin, S.M. "Generalized structural-parametric model of an elecromagnetoelastic converter for nano- and micrometric movement control systems: III. Transformation parametric structural circuits of an elecromagnetoelastic converter for nano- and micromovement control systems," Journal of computer and systems sciences international, 45, 2, 317-325, 2006.
[34]	Afonin, S.M. "Structural-parametric model of electro elastic actuator for nanotechnology and biotechnology," Journal of pharmacy and pharmaceutics, 5, 1, 8-12, 2018.
[35]	Encyclopedia of Nanoscience and Nanotechnology. Ed. by H. S. Nalwa. Calif.: American Scientific Publishers. 10 Volumes, 2004.