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Research Article | DOI: https://doi.org/10.31579/2688-7517/154
National Research University of Electronic Technology, MIET, 124498, Moscow, Russia.
*Corresponding Author: Afonin Sergey Mikhailovich, National Research University of Electronic Technology, MIET, 124498, Moscow, Russia.
Citation: Afonin SM, (2024), Piezo Engine for Nano Medical Research. J. Pharmaceutics and Pharmacology Research, 7(2); DOI:10.31579/2688-7517/154
Copyright: © 2024, Afonin Sergey Mikhailovich. 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: 07 November 2023 | Accepted: 30 November 2023 | Published: 22 January 2024
Keywords: piezo engine; deformation; differential equation; characteristic; nano medical research
The characteristics of the piezo engine are obtained for nano medical research. The transfer coefficient and function on the voltage of the piezo engine are received. The mechanical characteristic of the piezo engine is determined.
For nano medical research the piezo engine is applied [1-15]. The energy transformation is clearly for the piezo engine [4-29]. This engine is used in nano medical and pharmaceutics research, X-ray lithography, adaptive optics, nano medicine, scanning probe microscopy.
Deformation
The equations of the piezo effects [5-52] are written
here ,
,
,
,
,
,
,
are matrixes for electric induction, piezo constant, strength mechanical field, dielectric constant, strength electric field, relative deformation, elastic compliance and transposed piezo constant. The matrixes for PZT are received
For the transverse piezo engine its relative deformation [4-29] is obtained
here is the transverse piezo constant.
The differential equation of deformation engine [8–50] is recorded
here ,
,
,
,
,
are the conversion of deformation, the position, the conversion operator, the coefficient of wave propagation, the sound speed, the coefficient of attenuation.
Edge conditions are written
by
by
Decision of differential equation deformation at transverse piezo effect is recorded
Structural model and scheme of transverse engine for nano medical research on Figure 1 are found
here ,
are the masses on its faces.
Figure 1. Scheme transverse piezo engine for nano medical research.
For fixed face of engine at ,
the equation of deformation is written
For the equation is recorded
After conversions
For distributed parameters the function is determined in the form
here ,
are the stiffness of engine and load.
The function on voltage e is obtained
Characteristics
For the lumped parameters at elastic-inertial workload the function on voltage is received in the form
here ,
,
,
are the transverse transfer coefficient, the constant of time, the frequency of conjugate and the coefficient of attenuation.
For = 2 kg,
= 0.1×107 N/m,
= 0.5×107 N/m the parameters PZT engine are found
= 0.41×10-3 s and
= 2.4×103 s-1 with error 10%.
The steady deformation of the engine at elastic-inertial workload is found
At = 2∙10-10 m/V,
= 20,
= 0.2 for PZT engine its transfer coefficient is received
= 3.3 nm/V.
The characteristics of engine are recorded
.
For = 2∙10-10 m/V,
= 1.5∙105 V/m,
= 2.5∙10-2 m,
= 1.5∙10-5 m2,
= 15∙10-12 m2/N parameters PZT engine are determined
= 750 nm and
= 30 N.
Figure 2. Mechanical characteristic of engine.
The parameters of the piezo engine are obtained. For nano medical research the transfer coefficient and function on the voltage are found. The mechanical characteristic of the piezo engine is determined.