An Engine for Nanochemistry
Author(s): <p>Afonin SM</p>
Abstract
The structural model of an engine for nanochemistry is obtained. The structural scheme of an engine is constructed. For the control systems in nanochemistry with an elecro elastic engine its characteristics are determined.
Introduction
An engine with piezoelectric or electrostrictive effect is used in
precision control system for nanochemistry [1-6]. In structural
schema of electro elastic engine its energy transformation is clearly
[7-12]. The piezo engine is applied for precise adjustment for
nanochemistry in adaptive optics and scanning microscopy [3-20].
Characteristics of an Engine
For an engine its equations in matrixes [8, 11-38] for nanochemistry
have the form

electric induction, relative displacement, piezo coefficient, strength
mechanical field, dielectric constant, strength electric field, elastic
compliance, transposed piezo coefficient.
For piezo engine Figure 1 its relative displacement for 3 axis [8,
11-20] has the form

Figure 1: Piezo engine for nanochemistry
On the mechanical characteristic of longitudinal piezo engine its
maximums values the force and the displacement are obtained
in the form

Figure 2: Mechanical characteristic of longitudinal piezo engine
for nanochemistry
The differential equation of an electro elastic engine for
nanochemistry has the form [11-45]

here ?(x,s) is the Laplace transform displacement, s is the
parameter, x is the coordinate. The decision this differential
equation is determined in the form

Using the expressions

where l is length.
We have the coefficients A and B in the form

The solution equation has form



Figure 3: Structural scheme of an engine for nanochemistry
This structural scheme is used for calculation the deformations of
the electro elastic engine in nanochemistry. From the structural
model the matrix equation has the form

The steady-state movements of the faces 1 and 2 have the
form

The steady-state movements of the longitudinal piezo engine
have the form

The steady-state movement of the transverse piezo engine with
fixed one face and at elastic-inertial load has the form

Conclusions
For an engine its structural model for nanochemistry is
determined. The structural scheme of an engine is constructed.
The characteristics of an engine are obtained.
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: 943-948.
- Uchino K (1997) Piezoelectric actuator and ultrasonic motors.
Boston, MA: Kluwer Academic Publisher 350 .
- Afonin SM (2005) Generalized parametric structural model
of a compound elecromagnetoelastic transduser. Doklady
Physics 50: 77-82.
- Afonin SM (2008) Structural parametric model of a
piezoelectric nanodisplacement transducer. Doklady Physics
53: 137-143.
- Afonin SM (2006) Solution of the wave equation for the
control of an elecromagnetoelastic transduser. Doklady
Mathematics 73: 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.
- Mason W, editor (1964) Physical Acoustics: Principles and
Methods. Vol.1. Part A. Methods and Devices. Academic
Press, New York, 515.
- Y Yang, L Tang (2009) Equivalent circuit modeling of
piezoelectric energy harvesters. Journal of Intelligent Material
Systems and Structures. 20: 2223-2235.
- Zwillinger D (1989) Handbook of Differential Equations.
Academic Press, Boston, 673.
- 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: 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: 22-29.
- Afonin SM (2015) Structural-parametric model and
transfer functions of electroelastic actuator for nanoand 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, 259-284.
- Afonin SM (2018) Electromagnetoelastic nano- and
microactuators for mechatronic systems. Russian Engineering
Research 38: 938-944.
- Afonin SM (2012) Nano- and micro-scale piezomotors.
Russian Engineering Research 32: 519-522.
- Afonin SM (2007) Elastic compliances and mechanical
and adjusting characteristics of composite piezoelectric
transducers, Mechanics of Solids 42: 43-49.
- Afonin SM (2014) Stability of strain control systems of nanoand microdisplacement piezotransducers. Mechanics of Solids
49: 196-207.
- Afonin SM (2017) Structural-parametric model
electromagnetoelastic actuator nanodisplacement for
mechatronics. International Journal of Physics 5: 9-15.
- Afonin SM (2019) Structural-parametric model multilayer
electromagnetoelastic actuator for nanomechatronics.
International Journal of Physics 7: 50-57.
- Afonin SM (2021) Calculation deformation of an engine for
nano biomedical research. International Journal of Biomed
Research 1: 1-4.
- Afonin SM (2021) Precision engine for nanobiomedical
research. Biomedical Research and Clinical Reviews. 3: 1-5.
- 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: 31-38.
- Afonin SM (2018) Structural-parametric model of
electromagnetoelastic actuator for nanomechanics. Actuators
7: 1-9.
- Afonin SM (2019) Structural-parametric model and
diagram of a multilayer electromagnetoelastic actuator for
nanomechanics. Actuators 8: 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: 52-59.
- Afonin SM (2010) Design static and dynamic characteristics
of a piezoelectric nanomicrotransducers. Mechanics of Solids
45: 123-132.
- Afonin SM (2018) Electromagnetoelastic Actuator for
Nanomechanics. Global Journal of Research in Engineering:
A Mechanical and Mechanics Engineering 18: 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: 1-9.
- Afonin SM (2019) Decision matrix equation and block
diagram of multilayer electromagnetoelastic actuator
micro and nanodisplacement for communications systems,
Transactions on Networks and Communications 7: 11-21.
- Afonin SM (2020) Condition absolute stability control system
of electromagnetoelastic actuator for communication equipment.
Transactions on Networks and Communications 8: 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: 23-33.
- Afonin SM (2020) Optimal control of a multilayer
electroelastic engine with a longitudinal piezoeffect for
nanomechatronics systems. Applied System Innovation 3: 1-7.
- Afonin SM (2021) Coded control of a sectional electroelastic
engine for nanomechatronics systems. Applied System
Innovation 4: 1-11.
- Afonin SM (2020) Structural scheme actuator for nano
research. COJ Reviews and Research 2: 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: 306-309.
- Afonin SM (2018) Electromagnetoelastic actuator for large
telescopes. Aeronautics and Aerospace Open Access Journal
2: 270-272.
- Afonin SM (2019) Condition absolute stability of control
system with electro elastic actuator for nano bioengineering
and microsurgery. Surgery & Case Studies Open Access
Journal 3: 307-309.
- Afonin SM (2019) Piezo actuators for nanomedicine research.
MOJ Applied Bionics and Biomechanics 3: 56-57.
- Afonin SM (2019) Frequency criterion absolute stability of
electromagnetoelastic system for nano and micro displacement
in biomechanics. MOJ Applied Bionics and Biomechanics
3: 137-140.
- Afonin SM (2020) Multilayer piezo engine for nanomedicine
research. MOJ Applied Bionics and Biomechanics 4: 30-31.
- Afonin SM (2021) Rigidity of a multilayer piezoelectric
actuator for the nano and micro range. Russian Engineering
Research 41: 285-288.
- Nalwa HS, editor (2004) Encyclopedia of Nanoscience and
Nanotechnology. Los Angeles: American Scientific Publishers
10.
- Bhushan B, editor (2004) Springer Handbook of
Nanotechnology. New York: Springer, 1222.
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