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COJ Reviews & Research

Structural Scheme Actuator for Nano Research

Afonin SM*

National Research University of Electronic Technology (MIET), Russia

*Corresponding author: Afonin SM, National Research University of Electronic Technology (MIET), Russia

Submission: April 16, 2020; Published: May 28, 2020

DOI: 10.31031/COJRR.2020.02.000548

ISSN 2639-0590
Volum2 Issue5

Abstract

We obtained the structural scheme of the electro elastic actuator in the control system for nano research. The transfer functions of the electro elastic actuator are used for the decision of the characteristics of the actuator for nano research.

Keywords: Structural scheme; Electro elastic actuator; Piezo actuator; Transfer function

Introduction

The application of the electro elastic actuator on the piezoelectric or electrostriction effects is promising in the control system for nano research. The electro elastic actuator is applied for nano research, adaptive optics, micro surgery, nano manipulator. The electro elastic actuator for the control system in nano research is used in scanning microscopy, nano injector, focus system, image stabilization [1-14]. The electro elastic actuator for nano research have the displacement 1nm-10μm, fast response 1-10ms, force 100-1000N [15-31]. The structural scheme and transfer functions of the electro elastic actuator are calculated for the decision of the dynamic and static characteristics of the actuator in the control system for nano research [4-14].

Structural Scheme and Transfer Function of Actuator

We used the method of mathematical physics with Laplace transform for the decision the wave equation. The structural scheme of the electro elastic actuator for the control system for nano research is changed from Cady and Mason electrical equivalent circuits [7,8]. We have the equation of the electro elasticity [5, 6,8,12,14] in the form

Where Si is the relative displacement along axis i, Ψm = {Em ,Dm is the control parameter in the form of the electric field strength or the electric induction along axis m, Tj is the mechanical stress along axis j, is the electro elastic module, Ψ sij is the elastic compliance for Ψ = const , and the indexes i= 1, 2, … , 6; j=1, 2, … , 6; m=1, 2, 3.

We obtained the linear ordinary second-order differential equation by using Laplace transform.

where Ξ(x, p) is the Laplace transform of the displacement of the section of the actuator, γ = p/cΨ + α is the propagation coefficient, cΨ is the sound speed for Ψ = const , α is the damping coefficient.

The structural scheme is received by using the linear ordinary second-order differential equation, the boundary conditions, the equation of the electro elasticity in the form

Where

vmi is the electro elastic module, dmi, gmi are the piezo module for the voltage-controlled actuator or the current-controlled actuator, is the main size along axis i, so is the cross section area, M1 , M2 are the mass of the load, Ξ1(p) , Ξ2 (p) and F1(p) , F2 (p) are the Laplace transforms of the displacements and the forces on the faces 1, 2 (Figure 1).

Figure 1: Structural scheme of electro elastic actuator for nano research.


We obtained the structural scheme of the voltage-controlled or current-controlled piezo actuator for nano research from its mathematical model. The matrix transfer function [6,17,18,21,22- 31] of the electro elastic actuator for nano research is received in the form

where (Ξ(p)) , (W(p)), (P(p))are the column-matrix of the Laplace transforms of the displacements for the faces 1, 2 of the actuator, the matrix transfer function, the column-matrix of the Laplace transforms of the control parameter, the forces.

Conclusion

We received the structural scheme by using the linear ordinary second-order differential equation, the boundary conditions, the equation of the electro elasticity for the actuator in nano research. We determined the structural scheme, the transfer functions of the electro elastic actuator in nano research for the decision of the characteristics of the actuator in the control system.

References

    1. Schultz J, Ueda J, Asada H (2017) Cellular Actuators. Butterworth-Heinemann Publisher, p. 382.
    2. Afonin SM (2006) Absolute stability conditions for a system controlling the deformation of an elecromagnetoelastic transducer. Doklady Mathematics 74(3): 943-948.
    3. Przybylski J (2015) Static and dynamic analysis of a flex tensional transducer with an axial piezoelectric actuation. Engineering Structures 84: 140-151.
    4. Afonin SM (2015) Block diagrams of a multilayer piezoelectric motor for nano and micro displacements based on the transverse piezoeffect. Journal of Computer and Systems Sciences International 54(3): 424-439.
    5. Afonin SM (2008) Structural parametric model of a piezoelectric nano displacement transducer. Doklady Physics 53(3): 137-143.
    6. Afonin SM (2006) Solution of the wave equation for the control of an elecromagnetoelastic transduser. Doklady Mathematics 73(2): 307-313.
    7. Cady WG (1946) Piezoelectricity: An introduction to the theory and applications of electro mechanical phenomena in crystals. McGraw-Hill Book Company, p. 806.
    8. Mason W (1964) Physical acoustics: Principles and methods. Methods and Devices. Academic Press, p515.
    9. Zwillinger D (1989) Handbook of Differential Equations. Academic Press, p.673.
    10. Afonin SM (2006) A 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 micrometric movement control systems, Journal of Computer and Systems Sciences International 45(2): 317-325.
    11. Afonin SM (2016) Decision wave equation and block diagram of elecromagnetoelastic actuator nano- and microdisplacement for communications systems. International Journal of Information and Communication Sciences 1(2): 22-29.
    12. Afonin SM (2015) Structural-parametric model and transfer functions of electro elastic actuator for nano- and micro displacement. Piezoelectrics and Nanomaterials: Fundamentals, Developments and Applications. Nova Science, pp. 225-242.
    13. Afonin SM (2017) A structural-parametric model of electro elastic actuator for nano and micro displacement of mechatronic system. Advances in Nanotechnology. Nova Science, pp. 259-284.
    14. SM (Afonin 2018) Elecromagnetoelastic nano- and micro actuators for mechatronic systems. Russian Engineering Research 38(12): 938-944.
    15. Afonin SM (2012) Nano- and micro-scale piezomotors. Russian Engineering Research 32(7-8): 519-522.
    16. Afonin SM (2007) Elastic compliances and mechanical and adjusting characteristics of composite piezoelectric transducers. Mechanics of Solid 42(1): 43-49.
    17. Afonin SM (2017) Structural-parametric model elecromagnetoelastic actuator nano displacement for mechatronics. International Journal of Physics 5(1): 9-15.
    18. Afonin SM (2019) Structural-parametric model multilayer elecromagnetoelastic actuator for nanomechatronics. International Journal of Physics 7(2): 50-57.
    19. Afonin SM (2017) Structural-parametric model of piezoactuator nano and micro displacement for nanoscience. AASCIT Journal of Nanoscience 3(3): 12-18.
    20. Afonin SM (2016) Solution wave equation and parametric structural schematic diagrams of elecromagnetoelastic actuators nano- and micro displacement. International Journal of Mathematical Analysis and Applications 3(4): 31-38.
    21. Afonin SM (2018) Structural-parametric model of elecromagnetoelastic actuator for nano mechanics. Actuators 7(1): 1-9.
    22. Afonin SM (2019) Structural-parametric model and diagram of a multilayer elecromagnetoelastic actuator for nanomechanics. Actuators 8(3): 1-14.
    23. Afonin SM (2016) Structural-parametric models and transfer functions of electromagneto elastic actuators nano- and micro displacement for mechatronic systems. International Journal of Theoretical and Applied Mathematics 2(2): 52-59.
    24. Afonin SM (2018) Structural-parametric model of electro elastic actuator for nanotechnology and biotechnology. Journal of Pharmacy and Pharmaceutics 5(1): 8-12.
    25. Afonin SM (2010) Static and dynamic characteristics of multilayered elecromagnetoelastic transducer of nano- and micrometric movements. Journal of Computer and Systems Sciences International 49(1): 73-85.
    26. Afonin SM (2009) Static and dynamic characteristics of a multi-layer electro elastic solid. Mechanics of Solids 44(6): 935-950.
    27. Afonin SM (2018) Electro magneto elastic actuator for nanotechnology and biotechnology. Mod Appl Pharm Pharmacol 1(2): 1-4.
    28. Afonin SM (2018) A block diagram of elecromagnetoelastic actuator nano displacement for communications systems. Transactions on Networks and Communications 6(3): 1-9.
    29. Afonin SM (2019) Decision matrix equation and block diagram of multilayer elecromagnetoelastic actuator micro and nanodisplacement for communications systems. Transactions on Networks and Communications 7(3): 11-21.
    30. Afonin SM (2020) Structural-parametric model actuator of adaptive optics for composite telescope and astrophysics equipment. Physics and Astronomy International Journal 4(1): 18-21.
    31. Nalwa HS (2004) Encyclopedia of nanoscience and nanotechnology. American Scientific Publishers.

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