International Journal of Theoretical and Applied Mathematics

Submit a Manuscript

Publishing with us to make your research visible to the widest possible audience.

Propose a Special Issue

Building a community of authors and readers to discuss the latest research and develop new ideas.

Structural-Parametric Models and Transfer Functions of Electromagnetoelastic Actuators Nano- and Microdisplacement for Mechatronic Systems

Structural-parametric models, parametric structural schematic diagrams and transfer functions of electromagnetoelastic actuators are determined. A generalized parametric structural schematic diagram of the electromagnetoelastic actuator is constructed. Effects of geometric and physical parameters of actuators and external load on its dynamic characteristics are determined. For calculations the mechatronic systems with piezoactuators for nano- and microdisplacement the parametric structural schematic diagrams and the transfer functions of piezoactuators are obtained.

Electromagnetoelastic Actuator, Deformation, Nano- and Microdisplacement, Structural-Parametric Model, Piezoactuator, Parametric Structural Schematic Diagram, Transfer Function

Sergey Mikhailovich Afonin. (2016). 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. https://doi.org/10.11648/j.ijtam.20160202.15

Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

1. Uchino K. Piezoelectric actuator and ultrasonic motors. Boston, MA: Kluwer Academic Publisher, 1997. 347p.
2. S. M. Afonin, "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).
3. S. M. Afonin, "Solution of the wave equation for the control of an elecromagnetoelastic transduser," Doklady mathematics 73, 2, 307-313 (2006).
4. S. M. Afonin, "Stability of strain control systems of nano-and microdisplacement piezotransducers," Mechanics of solids 49, 2, 196-207 (2014).
5. S. M. Afonin, "Structural parametric model of a piezoelectric nanodisplacement transduser," Doklady physics 53, 3, 137-143 (2008).
6. Y. Yang, L. Tang, "Equivalent circuit modeling of piezoelectric energy harvesters," Journal of intelligent material systems and structures, 20, 18, 2223-2235 (2009).
7. Physical Acoustics: Principles and Methods. Vol. 1. Part A. Methods and Devices. Ed.: W. Mason. New York: Academic Press. 1964. 515 p.
8. D. Zwillinger, Handbook of Differential Equations. Boston: Academic Press. 1989. 673 p.
9. S. M. Afonin, "Structural-parametric model and transfer functions of electroelastic actuator for nano- and microdisplacement," in Piezoelectrics and Nanomaterials: Fundamentals, Developments and Applications. Ed. I.A. Parinov. New York: Nova Science. 2015. pp. 225-242.
10. S. M. Afonin, "Generalized parametric structural model of a compound elecromagnetoelastic transduser," Doklady physics 50, 2, 77-82 (2005).
11. S. M. Afonin, "Optimal control of a multilayer submicromanipulator with a longitudinal piezo effect," Russian engineering research 35, 12, 907-910 (2015).
12. S. M. Afonin, "Parametric structural diagram of a piezoelectric converter," Mechanics of solids 37, 6, 85-91 (2002).
13. S. M. Afonin, "Deformation, fracture, and mechanical characteristics of a compound piezoelectric transducer," Mechanics of solids 38, 6, 78-82 (2003).
14. S. M. Afonin, "Parametric block diagram and transfer functions of a composite piezoelectric transducer," Mechanics of solids 39, 4, 119-127 (2004).
15. S. M. Afonin, "Elastic compliances and mechanical and adjusting characteristics of composite piezoelectric transducers," Mechanics of solids 42, 1, 43-49 (2007).
16. S. M. Afonin, "Static and dynamic characteristics of a multy-layer electroelastic solid," Mechanics of solids 44, 6, 935-950 (2009).
17. S. M. Afonin, "Design static and dynamic characteristics of a piezoelectric nanomicrotransducers," Mechanics of solids 45, 1, 123-132 (2010).
18. S. M. Afonin, "Structural-parametric model of nanometer-resolution piezomotor," Russian engineering research 21, 5, 42-50 (2001).
19. S. M. Afonin, "Parametric structure of composite nanometric piezomotor," Russian engineering research 22, 12, 9-24 (2002).
20. S. M. Afonin, "Electromechanical deformation and transformation of the energy of a nano-scale piezomotor," Russian engineering research 31, 7, 638-642 (2011).
21. S. M. Afonin,. "Electroelasticity problems for multilayer nano- and micromotors," Russian engineering research 31, 9, 842-847 (2011).
22. S. M. Afonin, "Nano- and micro-scale piezomotors," Russian engineering research 32, 7-8, 519-522 (2012).
23. S. M. Afonin, "Dynamic characteristics of multilayer piezoelectric nano- and micromotors," Russian engineering research 35, 2, 89-93 (2015).
24. S. M. Afonin, "Generalized structural parametric model of an elecromagnetoelastic transduser for control system of nano- and microdisplacement: I. Solution of the wave equation for control problem of an elecromagnetoelastic transduser," Journal of computer and systems sciences international 44, 3, 399-405 (2005).
25. S. M. Afonin, "Generalized structural parametric model of an elecromagnetoelastic transduser for control system of nano- and microdisplacements: II. On the generalized structural parametric model of a compound elecromagnetoelastic transduser," Journal of computer and systems sciences international 44, 4, 606-612 (2005).
26. S. M. Afonin, "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).
27. S. M. Afonin, "Absolute stability conditions for a system controlling the deformation of an elecromagnetoelastic transduser," Doklady mathematics 74, 3, 943-948 (2006).