### Research Article

**Structural Diagram of Actuator for Nanobiotechnology**

**Afonin SM***

National Research University of Electronic Technology, MIET, Russia.

**Received Date:** 06/02/2021; **Published Date:** 23/02/2021

***C****orresponding author:** Afonin Sergey Mikhailovich, National Research University of Electronic Technology, MIET, 124498,

Moscow, Russia

*DOI: 10.46718/JBGSR.2020.06.000175*

**Cite this article:** Afonin SM*. Structural Diagram of Actuator for Nanobiotechnology

### Abstract

The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is obtained. The structural diagram of an electro magnetoelastic actuator has a difference in the visibility of energy conversion from the circuit of a piezo vibrator. The electro magnetoelasticity equation and the differential equation are solved to construct the structural diagram and model of the actuator. The structural diagram of the piezo actuator is obtained by using the reverse and direct piezoelectric effects. The structural model of the piezo actuator for control systems in nanobiotechnology is written. The transfer functions of the electro magnetoelastic actuator are obtained.

**Keywords**: Structural diagram and model; Actuator; Nanobiotechnology; Electro magnetoelastic actuator; Piezo

actuator; Deformation; Transfer function

### Introduction

Electro magnetoelastic actuators in the form of piezo actuators or magnetostriction actuators are used in nanomanipulators, laser systems, nano pumps, scanning and nanomanipulation in nanobiotechnology [1-6]. The piezo actuator is used for nano displacements in photolithography, in medical equipment for precise instrument delivery during microsurgical operations, in optical-mechanical devices, in adaptive optics systems, and in adaptive telescopes. It is also used in stabilization systems for optical-mechanical devices, systems for alignment and tuning of lasers, interferometers, adaptive optical systems and fiber-optic systems for transmitting and receiving information [4-12].

The electromagnetoelasticity equation and the differential equation are solved to obtain the structural model of the actuator. The structural diagram of the actuator has a difference in the visibility of energy conversion for from Cady and Mason electrical equivalent circuits of a piezo vibrator. The structural diagram of the actuator for nanobiotechnology is obtained by applying the theory of electro magnetoelasticity [4-8].

**Structural Diagram**

The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is changed from Cady and Mason electrical equivalent circuits [4-8]. The equation of electro magnetoelasticity [2-14] has the form of the equation of the reverse effect for the actuator

The equation of the force on the face of actuator has the form [10-15]

The differential equation of the actuator has the form [4-29]

coefficient of wave propagation, the speed of sound, the coefficient of attenuation

The decision of the differential equation of the actuator has the form

where C, B are the coefficients

The coefficients C , B have the form

The system of the equations stresses acting on its faces has the form

**Figure 1:** Structural diagram of actuator for nanobiotechnology.

The system of equations for the structural diagram on **(Figure 1)** and model of an actuator for nanobiotechnology has the form

electric field, H is the intensity of magnetic field.

After conversion the system of the equations for the structural model has form

After conversion the system of the equations has the form

Therefore, for the inertial load the steady-state displacements and of the actuator for nanobiotechnology have the form

**Figure 2:** Structural diagram of piezo actuator for nanobiotechnology.

After conversion **(Figure 1)** the structural diagram of the piezo actuator for nanobiotechnology has form **(Figure 2)**

The equation for the coefficient of the reverse piezoelectric effect is found in the form

**Figure 3:** Structural diagram of piezo actuator at elastic-inertial load.

The structural diagram of the piezo actuator for the lumped parameters is obtained on **(Figure 3)**.

The transfer function of the piezo actuator for the lumped parameters on **(Figure 3)** at R=0 has the form

For the step input voltage the transient process of the piezo actuator at the transverse piezoelectric effect has the form

**Characteristics**

The characteristics of an electro magnetoelastic actuator for nanobiotechnology are obtained. The mechanical characteristic [10-38] of the actuator for nanobiotechnology is obtained as Si(Tj) or ^l(F) or , for example,

where index max is used for the maximum value of parameter.

For the transverse piezoelectric effect the maximum values of parameters of the piezo actuator for nanobiotechnology have the form

**Figure 4:** Mechanical characteristic of transverse piezo actuator.

For the transverse piezo actuator for nanobiotechnology at d31= 2∙10-10 m/V, E3= 1∙105 V/m, h= 2.5∙10-2 m, S0= 1.5∙10-5 m2, Se11= 15∙10-12 m2/N its parameters on **(Figure 4)** are found hmax= 500 nm and Fmax = 20 N.

At elastic load the regulation line of an electro magnetoelastic actuator for nanobiotechnology is obtained in the form

Therefore, the equation of the displacement at elastic load has the form

For the transverse piezoelectric effect of the piezo actuator for nanobiotechnology the equation of the displacement at elastic load has the form

Theoretical and practical parameters are coincidences with an error of 10%.

For calculations the mechatronics control systems in nanobiotechnology with an electro magnetoelastic actuator its characteristics are found.

### Conclusion

The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is obtained. The structural diagram of an electro magnetoelastic actuator has a difference in the visibility of energy conversion from the circuit of a piezo vibrator. The structural diagram of an electro magnetoelastic actuator for nanotechnology is changed from Cady and Mason electrical equivalent circuits of a piezo vibrator.

The structural diagram of an electro magnetoelastic actuator is found from its electro magnetoelasticity and differential equations. The structural diagram of the piezo actuator is obtained using the reverse and direct piezoelectric effects. The back electromotive force for the piezo actuator is written from the direct piezoelectric effect. The characteristics of an electro magnetoelastic actuator for nanobiotechnology are obtained. The regulation line of the piezo actuator is found.

***C****orresponding author:** Afonin Sergey Mikhailovich, Email learner01@mail.ru

### References

- Schultz J, Ueda J, Asada H (2017) Cellular Actuators. Butterworth-Heinemann Publisher, Oxford 382 .
- Afonin SM (2006) Absolute stability conditions for a system controlling the deformation of an elecromagnetoelastic transduser. Doklady Mathematics 74(3): 943-948,
- Uchino K (1997) Piezoelectric actuator and ultrasonic motors. Boston, MA: Kluwer Academic Publisher 347 .
- Afonin SM (2005) Generalized parametric structural model of a compound elecromagnetoelastic transduser. Doklady Physics 50(2): 77-82.
- Afonin SM (2008) Structural parametric model of a piezoelectric nanodisplacement transducer. Doklady Physics 53(3): 137-143.
- Afonin SM (2006) Solution of the wave equation for the control of an elecromagnetoelastic transduser. Doklady Mathematics 73(2): 307-313.
- Cady WG (1946) Piezoelectricity: An introduction to the theory and applications of electromechancial phenomena in crystals. McGraw-Hill Book Company, New York, London 806 .
- Physical Acoustics: Principles and Methods. Vol.1. Part A. Methods and Devices. Ed.: Mason W (1964). Academic Press, New York, 515 pp.
- Zwillinger D (1989) Handbook of Differential Equations. Academic Press, Boston, 673 pp.
- 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.
- Afonin SM (2016) Decision wave equation and block diagram of electromagnetoelastic actuator nano- and microdisplacement for communications systems. International Journal of Information and Communication Sciences 1(2): 22-29.
- Afonin SM (2015) Structural-parametric model and transfer functions of electroelastic actuator for nano- and microdisplacement. Chapter 9 in Piezoelectrics and Nanomaterials: Fundamentals, Developments and Applications. Ed. Parinov IA. Nova Science, New York 225-242.
- Afonin SM (2017) A structural-parametric model of electroelastic actuator for nano- and microdisplacement of mechatronic system. Chapter 8 in Advances in Nanotechnology. Volume 19. Eds. Bartul Z, Trenor J, Nova Science, New York pp. 259-284.
- Afonin SM (2018) Electromagnetoelastic nano- and microactuators for mechatronic systems. Russian Engineering Research 38(12): 938-944.
- Afonin SM (2012) Nano- and micro-scale piezomotors. Russian Engineering Research 32(7-8): 519-522.
- Afonin SM (2007) Elastic compliances and mechanical and adjusting characteristics of composite piezoelectric transducers, Mechanics of Solids 42(1): 43-49.
- Afonin SM (2014) Stability of strain control systems of nano-and microdisplacement piezotransducers. Mechanics of Solids 49(2): 196-207.
- Afonin SM (2017) Structural-parametric model electromagnetoelastic actuator nanodisplacement for mechatronics. International Journal of Physics 5(1): 9-15.
- Afonin SM (2019) Structural-parametric model multilayer electromagnetoelastic actuator for nanomechatronics. International Journal of Physics 7(2): 50-57.
- Afonin SM (2017) Structural-parametric model of piezoactuator nano- and microdisplacement for nanoscience. AASCIT Journal of Nanoscience 3(3): 12-18.
- Afonin SM (2016) Solution wave equation and parametric structural schematic diagrams of electromagnetoelastic actuators nano- and microdisplacement. International Journal of Mathematical Analysis and Applications 3(4): 31-38.
- Afonin SM (2018) Structural-parametric model of electromagnetoelastic actuator for nanomechanics. Actuators 7(1): 1-9.
- Afonin SM (2019) Structural-parametric model and diagram of a multilayer electromagnetoelastic actuator for nanomechanics. Actuators 8(3): 1-14.
- Afonin SM (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.
- Afonin SM (2018) Structural-parametric model of electro elastic actuator for nanotechnology and biotechnology. Journal of Pharmacy and Pharmaceutics 5(1): 8-12.
- Afonin SM (2010) Design static and dynamic characteristics of a piezoelectric nanomicrotransducers. Mechanics of Solids 45(1): 123-132.
- Afonin SM (2018) Electromagnetoelastic Actuator for Nanomechanics. Global Journal of Research in Engineering: A Mechanical and Mechanics Engineering 18(2): 19-23.
- Afonin SM (2018) Multilayer electromagnetoelastic actuator for robotics systems of nanotechnology. Proceedings of the 2018 IEEE Conference EIConRus 1698-1701.
- Afonin SM (2018) A block diagram of electromagnetoelastic actuator nanodisplacement for communications systems. Transactions on Networks and Communications 6(3): 1-9.
- Afonin SM (2019) Decision matrix equation and block diagram of multilayer electromagnetoelastic actuator micro and nanodisplacement for communications systems. Transactions on Nnetworks and Communications 7(3): 11-21.
- Afonin SM (2020) Condition absolute stability control system of electromagnetoelastic actuator for communication equipment. Transactions on Networks and Communications 8(1): 8-15.
- Afonin SM (2020) A Block diagram of electromagnetoelastic actuator for control systems in nanoscience and nanotechnology. Transactions on Machine Learning and Artificial Intelligence 8(4): 23-33.
- Afonin SM (2020) Optimal control of a multilayer electroelastic engine with a longitudinal piezoeffect for nanomechatronics systems. Applied System Innovation 3(4): 1-7.
- Afonin SM (2020) Structural scheme actuator for nano research. COJ Reviews and Research 2(5): 1-3.
- Afonin SM (2018) Structural–parametric model electroelastic actuator nano- and microdisplacement of mechatronics systems for nanotechnology and ecology research. MOJ Ecology and Environmental Sciences 3(5): 306‒309.
- Afonin SM (2019) Condition absolute stability of control system with electro elastic actuator for nano bioengineering and microsurgery. . Surgery & Case Studies Open Access Jjournal 3(3): 307–309.
- Afonin SM (2020) Multilayer engine for microsurgery and nano biomedicine. Surgery & Case Studies Open Access Jjournal 4(4): 423-425.
- Nalwa HS (2004) Encyclopedia of Nanoscience and Nanotechnology. Los Angeles: American Scientific Publishers. 10 Volumes.

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