*Corresponding Author: Afonin SM, National Research University of Electronic Technology, MIET, Moscow, Russia
Citation: Afonin SM. (2021). Calculation Deformation of an Engine for Nano Biomedical Research, International J. of Biomed Research 1(5); DOI: 10.31579/IJBR-2021/028
Copyright: © 2021 Afonin SM, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: 01 July 2021 | Accepted: 08 August 2021 | Published: 14 August 2021
Keywords: electromagnetoelastic engine; piezo engine; nano biomedical research; deformation; structural schema; matrix equation; matrix transfer function
Abstract
In the article the calculation of the deformation of an electromagnetoelastic engine for nano biomedical research is obtained. The structural schema of an electromagnetoelastic engine is found. In the visibility of energy conversion the structural schema of an electromagnetoelastic engine has a difference from Cady and Mason electrical equivalent circuits of a piezo vibrator. The matrix equation and the matrix transfer function of an electromagnetoelastic engine are received.
Introduction
In nano biomedical research an electromagnetoelastic engine in the form of piezo engine or magnetostriction actuator is used for laser system, nanopump, nanopositioner, nanomanipulator, scanning microscopy [1-6]. The piezo engine is applied for optical-mechanical device, adaptive optics system, fiber-optic system, microsurgery [5-14].
For an electromagneto elastic engine the electromagnetoelasticity equation and the ordinary differential equation of the second order are solved to obtain the structural schema of an engine. In the visibility of energy conversion the structural schema of an electromagnetoelastic engine has a difference from Cady and Mason electrical equivalent circuits of a piezo vibrator. By applying the methods of electromagnetoelasticity the structural schema of an electro magneto elastic engine for nano biomedical research is obtained [4-12].
Deformation of an engine
The equation electromagnetoelasticity of an electromagnetoelastic engine for nano biomedical research [1-30] has the form
Where,
are the relative deformation, the module, the control parameter or the intensity of field, the elastic compliance, and the mechanical intensity.
In static the mechanical characteristic [4-42] of an electromagnetoelastic engine has the form
Mechanical characteristic of an electromagnet elastic engine
the regulation characteristic an engine has the form
Regulation characteristic an engine
The mechanical characteristic of an electromagnet elastic engine has the form
Characteristic of an electromagneto elastic engine
For the the transverse piezo engine after transforms the maximum values of deformation and force have the form
the maximum values of deformation and force for the transverse piezo engine are found
The regulation characteristic at elastic load of an electromagnetoelastic engine for nano biomedical research is obtained in the form
The equation of the deformation at elastic load of an electromagnetoelastic engine for nano biomedical research has the form
After transforms the equation of the deformation at elastic load for the transverse piezo engine for nano biomedical research has the form
Figure 1: Structural schema of an electromagnetoelastic engine for nano biomedical research.
For nano biomedical science the structural research of an electromagnetoelastic engine replaces Cady and Mason electrical equivalent circuits [5-10].
The matrix equation of an electro magneto elastic actuator for nano biomedical research with matrix transfer function has the form
Conclusions
In the article the calculation of the deformation of an electromagnetoelastic engine for nano biomedical research is obtained. The structural schema of an electromagnetoelastic engine for nano biomedical research is shown. In the visibility of energy conversion the structural schema of an electromagnetoelastic engine has a difference from Cady and Mason electrical equivalent circuits of a piezo vibrator.
From the equation electromagnetoelasticity and the ordinary differential equation of the second order of an electro magneto elastic engine the structural schema of an engine is received. The matrix equation and the matrix transfer function of an electromagnetoelastic engine for nano biomedical research are found.
References
- Schultz J, Ueda J, Asada H (2017) Cellular Actuators. Butterworth-Heinemann Publisher, Oxford, 382 p.
View at Publisher |
View at Google Scholar
- Afonin SM (2006) Absolute stability conditions for a system controlling the deformation of an elecromagnetoelastic transduser. Doklady Mathematics 74(3): 943-948, doi:10.1134/S1064562406060391
View at Publisher |
View at Google Scholar
- Uchino K (1997) Piezoelectric actuator and ultrasonic motors. Boston, MA: Kluwer Academic Publisher. 347 p.
View at Publisher |
View at Google Scholar
- Afonin SM (2005) Generalized parametric structural model of a compound elecromagnetoelastic transduser. Doklady Physics 50(2): 77-82, doi:10.1134/1.1881716.
View at Publisher |
View at Google Scholar
- Afonin SM (2008) Structural parametric model of a piezoelectric nanodisplacement transducer. Doklady Physics 53(3): 137-143, doi:10.1134/S1028335808030063.
View at Publisher |
View at Google Scholar
- Afonin SM (2006) Solution of the wave equation for the control of an elecromagnetoelastic transduser. Doklady Mathematics 73(2): 307-313, doi:10.1134/S1064562406020402
View at Publisher |
View at Google Scholar
- Cady WG (1946) Piezoelectricity: An introduction to the theory and applications of electromechancial phenomena in crystals. McGraw-Hill Book Company, New York, London, 806 p.
View at Publisher |
View at Google Scholar
- Physical Acoustics: Principles and Methods. Vol.1. Part A. Methods and Devices. Ed.: Mason W (1964). Academic Press, New York, 515 p.
View at Publisher |
View at Google Scholar
- Zwillinger D (1989) Handbook of Differential Equations. Academic Press, Boston, 673 p.
View at Publisher |
View at Google Scholar
- 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, doi:10.1134/S106423070602016X.
View at Publisher |
View at Google Scholar
- 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. doi:10.11648/j.ijics.20160102.12.
View at Publisher |
View at Google Scholar
- 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, pp. 225-242.
View at Publisher |
View at Google Scholar
- 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.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) Electromagnetoelastic nano- and microactuators for mechatronic systems. Russian Engineering Research 38(12): 938-944, doi:10.3103/S1068798X18120328.
View at Publisher |
View at Google Scholar
- Afonin SM (2012) Nano- and micro-scale piezomotors. Russian Engineering Research 32(7-8): 519-522, doi:10.3103/S1068798X12060032.
View at Publisher |
View at Google Scholar
- Afonin SM (2007) Elastic compliances and mechanical and adjusting characteristics of composite piezoelectric transducers, Mechanics of Solids 42(1): 43-49, doi:10.3103/S0025654407010062
View at Publisher |
View at Google Scholar
- Afonin SM (2014) Stability of strain control systems of nano-and microdisplacement piezotransducers. Mechanics of Solids 49(2): 196-207, doi:10.3103/S0025654414020095.
View at Publisher |
View at Google Scholar
- Afonin SM (2017) Structural-parametric model electromagnetoelastic actuator nanodisplacement for mechatronics. International Journal of Physics 5(1): 9-15, doi:10.12691/ijp-5-1-2.
View at Publisher |
View at Google Scholar
- Afonin SM (2019) Structural-parametric model multilayer electromagnetoelastic actuator for nanomechatronics. International Journal of Physics 7(2): 50-57, doi:10.12691/ijp-7-2-3.
View at Publisher |
View at Google Scholar
- Afonin SM (2017) Structural-parametric model of piezoactuator nano- and microdisplacement for nanoscience. AASCIT Journal of Nanoscience 3(3): 12-18.
View at Publisher |
View at Google Scholar
- 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.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) Structural-parametric model of electromagnetoelastic actuator for nanomechanics. Actuators 7(1): 1-9, doi:10.3390/act7010006.
View at Publisher |
View at Google Scholar
- Afonin SM (2019) Structural-parametric model and diagram of a multilayer electromagnetoelastic actuator for nanomechanics. Actuators 8(3): 1-14, doi:10.3390/act8030052
View at Publisher |
View at Google Scholar
- 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, doi:10.11648/j.ijtam.20160202.15.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) Structural-parametric model of electro elastic actuator for nanotechnology and biotechnology. Journal of Pharmacy and Pharmaceutics 5(1): 8-12, doi:10.15436/2377-1313.18.1881.
View at Publisher |
View at Google Scholar
- Afonin SM (2010) Design static and dynamic characteristics of a piezoelectric nanomicrotransducers. Mechanics of Solids 45(1): 123-132, doi:10.3103/S0025654410010152.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) Electromagnetoelastic Actuator for Nanomechanics. Global Journal of Research in Engineering: A Mechanical and Mechanics Engineering 18(2): 19-23, doi:10.17406/GJRE.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) Multilayer electromagnetoelastic actuator for robotics systems of nanotechnology, Proceedings of the 2018 IEEE Conference EIConRus, pp. 1698-1701, doi:10.1109/EIConRus.2018.8317432.
View at Publisher |
View at Google Scholar
- Afonin SM (2018) A block diagram of electromagnetoelastic actuator nanodisplacement for communications systems. Transactions on Networks and Communications 6(3): 1-9, doi:10.14738/tnc.63.4641.
View at Publisher |
View at Google Scholar
- 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, doi:10.14738/tnc.73.6564.
View at Publisher |
View at Google Scholar
- Afonin SM (2020) Condition absolute stability control system of electromagnetoelastic actuator for communication equipment. Transactions on Networks and Communications 8(1): 8-15, doi:10.14738/tnc.81.7775.
View at Publisher |
View at Google Scholar
- 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, doi:10.14738/tmlai.84.8476.
View at Publisher |
View at Google Scholar
- Afonin SM (2020) Optimal control of a multilayer electroelastic engine with a longitudinal piezoeffect for nanomechatronics systems. Applied System Innovation 3(4): 1-7, doi:10.3390/asi3040053.
View at Publisher |
View at Google Scholar
- Afonin SM (2020) Structural scheme actuator for nano research. COJ Reviews and Research 2(5): 1-3, doi:10.31031/COJRR.2020.02.000548.
View at Publisher |
View at Google Scholar
- 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. doi:10.15406/mojes.2018.03.00104.
View at Publisher |
View at Google Scholar
- 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(3):307–309, doi:10.32474/SCSOAJ.2019.03.000165.
View at Publisher |
View at Google Scholar
- Afonin SM (2020) Multilayer engine for microsurgery and nano biomedicine. Surgery & Case Studies Open Access Journal 4(4): 423-425. doi:10.32474/SCSOAJ.2020.04.000193.
View at Publisher |
View at Google Scholar
- Afonin SM (2020) Condition absolute stability of control system electro magnetoelastic actuator nano displacement for nano research in sciences. Novel Research in Sciences 5(1)): 1-4. doi:10.31031/NRS.2020.5.000602.
View at Publisher |
View at Google Scholar
- Afonin SM (2019) Absolute stability of control system with electro magneto elastic actuator for nanobiomedicine. Biomedical Journal of Scientific and Technical Research 21(4): 16027-16030, doi:10.26717/BJSTR.2019.21.003632.
View at Publisher |
View at Google Scholar
- Afonin SM (2019) Multilayer actuator for nano biomedicine. Biomedical Journal of Scientific and Technical Research 22(4): 16885-16887, doi:10.26717/BJSTR.2019.22.003795.
View at Publisher |
View at Google Scholar
- Afonin SM (2021) Precision engine for nanobiomedical research. Biomedical Research and Clinical Reviews 3(4): 1-5, doi:10.31579/2692-9406/051.
View at Publisher |
View at Google Scholar
- Nalwa HS (2004) Encyclopedia of Nanoscience and Nanotechnology. Los Angeles: American Scientific Publishers. 10 Volumes
View at Publisher |
View at Google Scholar