Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя
Целью статьи является определение влияния геометрических параметров статора линейного пьезокерамического двигателя в виде пьезокерамической пластины на характеристики ее амплитудных колебаний. Для проведения исследований использовалось математическое моделирование в среде пакета программ COMSOL Mult...
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| Published in: | Електротехніка і електромеханіка |
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| Date: | 2019 |
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Інститут технічних проблем магнетизму НАН України
2019
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/159031 |
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| Cite this: | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя / В.Я. Гальченко, Ю.Ю. Бондаренко, С.А. Филимонов, Н.В. Филимонова // Електротехніка і електромеханіка. — 2019. — № 1. — С. 17-22. — Бібліогр.: 15 назв. —рос., англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860252633239912448 |
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| author | Гальченко, В.Я. Бондаренко, Ю.Ю. Филимонов, С.А. Филимонова, Н.В. |
| author_facet | Гальченко, В.Я. Бондаренко, Ю.Ю. Филимонов, С.А. Филимонова, Н.В. |
| citation_txt | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя / В.Я. Гальченко, Ю.Ю. Бондаренко, С.А. Филимонов, Н.В. Филимонова // Електротехніка і електромеханіка. — 2019. — № 1. — С. 17-22. — Бібліогр.: 15 назв. —рос., англ. |
| collection | DSpace DC |
| container_title | Електротехніка і електромеханіка |
| description | Целью статьи является определение влияния геометрических параметров статора линейного пьезокерамического двигателя в виде пьезокерамической пластины на характеристики ее амплитудных колебаний. Для проведения исследований использовалось математическое моделирование в среде пакета программ COMSOL Multiphysics с учетом взаимосвязи электростатических и механических явлений. Путем численного моделирования процесса функционирования линейного пьезокерамического двигателя определено рациональное отношение ширины к длине пьезокерамической пластины. Установлено также рациональное значение толщины h пьезокерамической пластины двигателя. Предложены аппроксимационные зависимости для определения параметров связи между геометрическими размерами пьезокерамической пластины линейного пьезодвигателя, что позволяет прогнозировать его характеристики. Адекватность модельных расчетов подтверждена экспериментальными исследованиями. Полученные результаты могут использоваться при проектировании пьезокерамических двигателей.
Purpose. The purpose of the paper is to determine the influence of the geometric parameters of the stator of a linear piezoceramic motor in the form of a piezoceramic plate on the characteristics of its amplitude oscillations. Methodology. For the research, mathematical modeling in the COMSOL Multiphysics software package was used, taking into account the interrelation of electrostatic and mechanical phenomena. Results. By numerical simulation of the process of operating of a linear piezoceramic motor, a rational ratio of the width to the length of the piezoceramic plate is determined. Originality. The rational value of the thickness h of the piezoceramic plate of the motor is also established. Approximate dependencies are proposed for determining the parameters of the relationship between the geometric dimensions of the piezoceramic plate of a linear piezomotor, which makes it possible to predict its characteristics. The adequacy of calculation models is confirmed by experimental studies. Practical value. The results obtained can be used in the design of piezoceramic motors.
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| first_indexed | 2025-12-07T18:45:21Z |
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ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.1 17
© V.Ya. Halchenko, Yu.Yu. Bondarenko, S.A. Filimonov, N.V. Filimonova
UDC 681.586 doi: 10.20998/2074-272X.2019.1.03
V.Ya. Halchenko, Yu.Yu. Bondarenko, S.A. Filimonov, N.V. Filimonova
DETERMINATION OF INFLUENCE OF GEOMETRIC PARAMETERS OF
PIEZOCERAMIC PLATE ON AMPLITUDE CHARACTERISTICS OF LINEAR
PIEZOMOTOR
Purpose. The purpose of the paper is to determine the influence of the geometric parameters of the stator of a linear piezoceramic
motor in the form of a piezoceramic plate on the characteristics of its amplitude oscillations. Methodology. For the research,
mathematical modeling in the COMSOL Multiphysics software package was used, taking into account the interrelation of
electrostatic and mechanical phenomena. Results. By numerical simulation of the process of operating of a linear piezoceramic
motor, a rational ratio of the width to the length of the piezoceramic plate is determined. Originality. The rational value of the
thickness h of the piezoceramic plate of the motor is also established. Approximate dependencies are proposed for determining the
parameters of the relationship between the geometric dimensions of the piezoceramic plate of a linear piezomotor, which makes it
possible to predict its characteristics. The adequacy of calculation models is confirmed by experimental studies. Practical value.
The results obtained can be used in the design of piezoceramic motors. References 15, figures 8.
Key words: piezoceramics, piezoceramic motor, piezoceramic plate.
Метою статті є визначення впливу геометричних параметрів статора лінійного п’єзокерамічного двигуна у вигляді
п’єзокерамічної пластини на характеристики її амплітудних коливань. Для проведення досліджень
використовувалося математичне моделювання в середовищі пакета програм COMSOL Multiphysics з урахуванням
взаємозв'язку електростатичних і механічних явищ. Шляхом чисельного моделювання процесу функціонування
лінійного п’єзокерамічного двигуна визначено раціональне відношення ширини до довжини п’єзокерамічної пластини.
Встановлено також раціональне значення товщини h п'єзокерамічної пластини двигуна. Запропоновані
апроксимаційні залежності для визначення параметрів зв'язку між геометричними розмірами п’єзокерамічної
пластини лінійного п’єзодвигуна, що дозволяє прогнозувати його характеристики. Адекватність модельних
розрахунків підтверджена експериментальними дослідженнями. Отримані результати можуть використовуватися
при проектуванні п’єзокерамічних двигунів. Бібл. 15, рис. 8.
Ключові слова: п’єзокераміка, п’єзокерамічний двигун, п’єзокерамічна пластина.
Целью статьи является определение влияния геометрических параметров статора линейного пьезокерамического
двигателя в виде пьезокерамической пластины на характеристики ее амплитудных колебаний. Для проведения
исследований использовалось математическое моделирование в среде пакета программ COMSOL Multiphysics с
учетом взаимосвязи электростатических и механических явлений. Путем численного моделирования процесса
функционирования линейного пьезокерамического двигателя определено рациональное отношение ширины к длине
пьезокерамической пластины. Установлено также рациональное значение толщины h пьезокерамической пластины
двигателя. Предложены аппроксимационные зависимости для определения параметров связи между
геометрическими размерами пьезокерамической пластины линейного пьезодвигателя, что позволяет прогнозировать
его характеристики. Адекватность модельных расчетов подтверждена экспериментальными исследованиями.
Полученные результаты могут использоваться при проектировании пьезокерамических двигателей. Библ. 15, рис. 8.
Ключевые слова: пьезокерамика, пьезокерамический двигатель, пьезокерамическая пластина.
Introduction. Piezoelectric motors are used in
microscopy, robotics, photographic equipment,
nanometrology, nanolithography, nanoprint, microdosing,
etc. They can be used for vacuum and cryogenic
equipment, as well as ultra-precise positioning of objects
and systems, in particular, for radar systems [1-3].
Piezomotors are devices in which mechanical
movement is achieved due to the inverse piezoelectric
effect. The materials that form the basis of such drives are
called piezoelectrics. The inverse piezoelectric effect
consists in changing the linear dimensions of a
piezoelectric when an electric field is applied to it.
The relevance of the use of piezoelectric motors in
various precision measuring and tracking systems, the
adjustable values of which are angular and linear
displacements, is explained by several factors. This is,
first of all, their high resolution (up to 0.1 nm), the
possibility of self-stopping of the drive link, the
maximum duration of trouble-free operation, as well as
their high reliability [3]. A demonstration application
based on piezomotors is a theodolite [4], which is an
exact instrument on which a movable telescope is
mounted for measuring angles in the horizontal and
vertical planes.
Piezoelectric motors have a number of advantages
over electromagnetic ones, namely [2]: the absence of
radiated magnetic fields and their resistance to their
influence; the possibility of miniaturization; wide range of
rotational speeds and torques on the shaft; fire resistance;
absence of windings; simple manufacturing technology
and, consequently, higher efficiency.
At the same time, behind the external design
simplicity of a piezoelectric motor, there is a whole series
of physical phenomena that are interconnected in a
complex way [5, 6]. The difficulties of their joint
accounting significantly restrain the development and
improvement of this type of motors.
The object of the research is the interaction
processes of transverse bending and longitudinal
mechanical oscillations of the stator of a linear
piezoceramic motor. The subject of the research is
18 ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.1
the piezoelectric element of a linear piezoceramic
motor, i.e. stator.
The goal of the work is determination of the
influence of the geometric parameters of a piezoceramic
plate of a linear piezoceramic motor on the characteristics
of its amplitude oscillations.
Problem definition. To achieve this goal, it is
necessary to consistently solve a number of problems:
determine the resonance frequency at which the
piezoceramic element, namely, the stator pusher, becomes
elliptical oscillations; determine the maximum amplitude
of oscillations of the pusher when changing the geometry
(width and length) of the piezoceramic plate; determine
the rational ratio of the width to the length of the
piezoceramic plate and the rational thickness of the
piezoceramic plate with the selected effective ratio of its
width to length.
Literature review. Piezoelectric motors according
to the principle of the final movement of the rotor
(carriage) can be classified into linear and rotational
types. This paper discusses a linear piezoelectric motor.
One of the most common types of linear piezoelectric
motors is the design shown in Fig. 1 [4, 7-9]. The main
elements of this piezoelectric motor are: rectangular
monolithic piezoceramic plate (stator) 1 with electrodes 2,
3; friction tip (pusher) 4, as well as a carriage (rotor,
which is not shown in the Figure). Electrode 2 is divided
into two sections –5, 6. The pusher and the plate are a
one-piece construction made of a piezoceramic material.
Piezoceramic plate from side 7 under the action of an
external force F is pressed against the carriage (rotor).
Fig. 1. Piezoceramic plate of a linear piezoceramic motor
of the Company Physik Instrumente
The piezoelectric motor operates as follows (Fig. 1).
The control voltage is applied to one of the sections 5 or 6
of the electrode 2, which depends on the chosen direction
of movement of the carriage, and to the opposite electrode
3, which is common («ground»). In this design of a
piezoelectric motor, in order to obtain a linear movement
of the carriage, in the pusher oscillations are excited in
two mutually perpendicular directions. In this case, the
longitudinal vibrations in the pusher are excited by the
longitudinal oscillations of the piezoplate (stator), and the
transverse bending vibrations – by mechanical way, due
to the interaction of the pusher with the surface of the
carriage. Thus, the pusher begins to perform oscillations
in the shape of an ellipse and push the carriage.
One of the main criteria for designing such a linear
piezoelectric motor is the complex matching of the
geometric parameters of a piezoceramic plate, namely,
length, width and thickness, for maximum energy transfer
to its carriage [10]. Incorrect selection of these parameters
significantly affects the technical characteristics of the
linear piezoceramic motors.
In the works [11, 12] the description of this design
of a piezoceramic motor is given, and they say about «a
certain ratio of length to width of the selected element».
In the works [5, 7-9], only one of the possible ratios
of width to plate length is given, at which acceptable
results can be obtained is presented. In this case, the
dependence on the change in its thickness is not given. At
the same time, it is not known whether such a choice is
close to optimal.
Theoretically, there are other ratios of width to
length of the piezoelectric element, at which the
maximum oscillations or close to them are reached.
Analysis of technical literature, research papers, and
patents showed that in the existing works the choice of
parameters is not considered, and also the dependencies
for the geometry of the piezoceramic plate of a linear
piezoceramic motor, providing an effective mode of
operation, are not presented.
Thus, the determination of rational parameters of a
piezoceramic plate of a linear piezoceramic motor is an
important and urgent task.
Materials and methods. Mathematical
dependencies are known for calculating piezoceramic
elements of standard shapes (plate, disk, ring, bar and
rod) without small structural details on them [13].
The parameters of the piezoceramic plate (static shift
along the length l, width w and thickness h) can be
determined using the empirical formulas below [13]:
;
;
;
33
31
31
Vdh
h
Vd
w
h
Vd
l
w
l
(1)
where l is the static shift in length, w is the static shift
in width, h is the static shift in thickness, d31 and d33 are
the piezoelectric modules, h is the thickness of the
piezoceramic plate, Vl, Vw and V is the applied voltage to
the corresponding side of the plate (length, width and
thickness).
At the same time, the use of elementary methods of
calculation does not allow visualizing the shape of
oscillation of the entire piezoceramic element, and
therefore does not make it possible to determine the
acceptable shape of its oscillations.
Considering the technical features of piezoelectric
motors, which make it difficult to experimentally
determine and select the correct oscillation shape of the
piezoelectric element, it is optimal to use for this purpose
numerical calculation methods implemented by
specialized CAD systems.
To study the influence of the design parameters of
the piezoceramic plate of a linear piezoelectric motor,
numerical simulation of the operation of the piezoelectric
element was carried out using the COMSOL Multiphysics
3.5 software package.
ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.1 19
The COMSOL piezoelectric device interface
combines the functionality of modeling of solid
mechanics modules and electrostatics COMSOL's Solid
Mechanics and Electrostatics into one tool for modeling
piezoelectric materials. Piezoelectric devices in COMSOL
Multiphysics 3.5 are simulated using the Piezoelectric
Effects module. Since the operation of piezoelectric
motors is based on the reverse piezoelectric effect,
therefore, the Stress-Charge Form mode is selected in the
Piezoelectric Effects module.
The piezoelectric element is characterized by the
connection between the deformation and the electric field,
which is determined by the material or constitutive
relations [13]:
;; EeSDEeScT S
T
E (2)
where S is the deformation, T is the mechanical stress,
E is the electric field strength, D is the electric
displacement.
The material parameters cE, e and εS in (2)
correspond to the stiffness of the material, the coefficient
of electromechanical coupling and the dielectric
permeability. These values are of the 4th, the 3rd and the
2nd rank tensors, respectively, but since tensors are
symmetric for physical reasons, they can be represented
as matrices in an reduced notation, which is usually more
convenient [14].
For modeling, Lagrangian finite elements with
elementary second order basis functions, Lagrange-
Quadratic, were used.
The linear piezoceramic motor was analyzed in the
Frequency response mode. The calculated finite element
mesh in the «Mesh» section is selected as orthogonalized
– Normal. The investigated 3D model is represented by a
set of elements obtained as a result of meshing with a
tetragonal dividing. Direct is used as a solver, in which
the SPOOLES numerical method is chosen to solve
systems of linear equations with sparse matrices.
The material used for modeling a piezoceramic plate
was a brand of piezoceramic PZT-5H. Variants of the
geometry of the piezoceramic plate are represented by the
parameters K = w/l in dimensionless form, obtained by
the ratios of width w to its length l.
At the first stage of modeling, the parameter K
changed from 0.125 to 1.25 with a step of 0.125, while
the thickness remained constant at 3 mm. At this stage, a
rational relationship was determined between the length
and width of the piezoceramic plate. At the second stage
of the simulation, with the chosen ratio of the parameter
K, the thickness of the piezoceramic plate was changed
from 1 to 6 mm with a step of 1 mm. The geometrical
dimensions of the pusher did not change (Fig. 2).
Fig. 2. Linear piezoelectric motor pusher dimensions
The boundary conditions for the model of a
piezoelectric motor are as follows: piezoceramic plate 1
in width on both sides 8, 9 (Fig. 1) has the type of
boundary conditions Roller; electrical voltage (Electric
potential) of 100 V is applied to the partitioned electrode
5, and the ground (Ground) to the entire electrode 3 on
the opposite side.
When conducting numerical simulations in the
COMSOL Multiphysics software package, the resonance
frequency was first determined at which the piezoceramic
element, namely the plunger, acquires elliptical
oscillations. The dynamics of elliptical movements of the
piezoelectric motor pusher is quite complex and is
provided by resonant phenomena, which is described in
detail in [3]. Important for their implementation is the
provision of the resonance mode, which is fixed at
stepwise variation of the control voltage frequency and
manifests itself in a sharp increase in amplitude periodic
oscillations of the piezoelectric element sizes at one of the
model frequencies. Approximate resonant frequency
approximately without taking into account the influence
of the pusher can be determined using the
recommendations [15]. In the vicinity of this frequency
with a step of 100 Hz, numerical experiments were
conducted using the COMSOL software package to
determine its exact value. Then, when the geometrical
dimensions of the piezoceramic plate were changed, the
maximum amplitude of the oscillation of the pusher was
determined, and the rational ratio of the width to the
length of the piezoceramic plate was selected. Finally,
studies were conducted on the choice of a rational
thickness of a piezoceramic plate.
Experimental studies were conducted to verify the
adequacy of the results obtained by numerical simulation.
Fig. 3 shows a schematic representation of an
experimental linear piezoelectric motor.
712
F
3
4
5 6
712
F
3
4
5 6
Fig. 3. Schematic representation of an experimental linear
piezoelectric motor
The methodology of the experiments is as follows.
The piezoelectric plate 1 with the hub 2 is fixed so that it
is fixed from opposite sides by width 3, 4 across damping
rubber gaskets 5, 6. The hub 2 of the piezoelectric plate 1
is firmly pressed against the rolling guide (carriage) 7 by
the pressing force F acting from the opposite side and
created by a leaf spring. The pressing force can be
changed using adjustment screws.
Results of investigations. Some of the results of
numerical simulation of oscillations of a piezoceramic
plate of a linear motor are presented in Fig. 4, which
20 ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.1
illustrates the oscillations of a piezoceramic plate of the
motor. In Fig. 4, 6, on the right, on the vertical axis, the
color scale of the gradation of the amplitude of
oscillations of the geometric dimensions of a piezoplate
is shown. The values of the resonant frequency of
oscillations are taken based on the graphical images of
the conducted numerical studies in the COMSOL
Multiphysics environment in the pusher region. The
numerical values of the frequency are displayed in the
postprocessor window of the package automatically and
correspond to the maximum amplitude of the piezoplate
oscillations. Thus, we obtain a set of frequencies taken
for various ratios of the geometric parameters of the
piezoceramic plate. For example, the frequency
ftheor = 74.9 kHz is obtained with the following plate
sizes: l = 40 mm; w = 20 mm; h = 3 mm. When
modeling the size of the piezoceramic plate was changed
in the range w = 10÷60 mm, l = 10÷60 mm.
A
m
pl
itu
de
,
m
A
m
pl
itu
de
,
m
a b
A
m
pl
itu
de
,
m
A
m
pl
itu
de
,
m
c d
Fig. 4. Some of the results of simulation of amplitude oscillations of a piezoelectric element of a linear motor with different ratios
of width to plate length: a – K = 0.125; b – K = 0.5; c – K = 0.875; d – K = 1.125
As a result of the simulation, resonant frequencies
were determined that correspond to the elliptical shape of
the pusher oscillation are determined.
, m
0.125 0.25 0.5 0.345 0.625 0.75 1 0.875 1.125 1.250
30
60
0.07 0.13 2.46
53
3.63
7.02
33.6
10.6
13.1
4.2
Fig. 5. The dependence of the amplitude of oscillations of the
pusher on parameter K of a piezoceramic plate
The obtained results of numerical simulation are
presented in graphical form by the dependence of the
amplitude of oscillations of the pusher on the parameter
K of the piezoceramic plate and are shown in Fig. 5.
As can be seen from the graphs, two ratios can be
selected at which the maximum amplitude of the pusher is
reached, namely, 53 μm for K = 0.5, and also 33.6 μm for
K = 0.875.
The graphical dependence for the amplitude of
oscillations of the pusher obtained as a result of numerical
simulation was approximated using the least-squares
method by a second-order polynomial function
2
1
cxbxa
, (3)
where δ is the pusher oscillation amplitude, x is the
parameter K of the piezoelectric plate, a = 4.074768,
b = –16.243571, c = 16.263542, d = 1206.5824 are the
coefficients.
This model is adequate in the range of variation of
parameter K of a piezoelectric plate from 0.345 to 0.625.
After choosing the geometry of the piezoceramic
plate, its rational thickness was determined. To do this,
during modeling this parameter varied in the range from 1
to 6 mm with a step of 1 mm.
Some of the results of numerical simulation of
oscillations of a piezoceramic plate of a linear motor are
presented in Fig. 6.
The results obtained are graphically shown in Fig. 7.
It is obvious that the rational thickness of the
piezoceramic plate is 3 mm, while the amplitude of
oscillations of the pusher was 53 μm, which follows
from the analysis of the graphical dependencies shown
in Fig. 5, 7.
ISSN 2074-272X. Electrical Engineering & Electromechanics. 2019. no.1 21
A
m
pl
itu
de
,
m
A
m
pl
itu
de
,
m
a b
A
m
pl
itu
de
,
m
A
m
pl
itu
de
,
m
c d
Fig. 6. Some of the results of simulation of amplitude oscillations of a piezoplate of a linear motor with different thickness
at constant parameter: K = 0.5: a – h = 1; b – h = 2; c – h = 3; d – h = 4
The dependence presented in this Figure was
approximated by the Gauss function, which has the form:
2
2
2c
bh
ae
, (4)
where δ is the pusher oscillation amplitude, h is the
piezoelectric plate thickness, a = 53.247361, b =
= 2.9480015, c = 0.50561783 are the coefficients.
This model is adequate in the range of variation of the
piezoceramic plate thickness from 2 to 4 mm.
, m
0
30
60
9
3.6
h 1 2 3 4 5 6
17
53
6 7.15
Fig. 7. The dependence of the amplitude of oscillations
of the pusher on the piezoceramic plate thickness h at the
parameter K = 0.5 = const
To choose rational sizes of a piezoceramic plate, it is
advisable to use graphic (Fig. 5, 7) and analytical (3), (4)
dependencies. Guided by the graphs for the maximum
amplitude of the pusher, you can choose a rational ratio of
the parameters K and thickness h. If necessary, in the
absence of piezoelectric ceramics of necessary sizes, the
choice of rational sizes of K and h can be made using
analytical dependencies. In this case, the oscillation
amplitude of the pusher is chosen as close to the
maximum.
According to the selected rational sizes of the
piezoceramic plate, which amounted to l = 40 mm; w =
= 20 mm; h = 3 mm, an experimental sample of a linear
piezoceramic motor was made (Fig. 8). The study of its
operation in accordance with the previously described
method has confirmed the adequacy of determining the
resonant frequency and the performance of the motor. The
experimentally determined resonant frequency was fexp =
= 77.2 kHz, which coincides with the theoretically
determined (ftheor = 74.9 kHz) using the COMSOL
Multiphysics software package (Fig. 4,b and Fig. 6,c)
with acceptable accuracy not exceeding 3 %.
Fig. 8. Experimental sample of linear piezoceramic motor
Conclusions.
1. By numerical modeling of the operation of a linear
piezoceramic motor, the influence of the geometric
parameters of the motor piezoelectric element on its
amplitude characteristics was determined, graphic and
analytical dependencies were established to select their
rational ratios.
2. The results of investigations can be used in the
design of piezoceramic linear motors.
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Received 13.07.2018
V.Ya. Halchenko1, Doctor of Technical Science, Professor,
Yu.Yu. Bondarenko1, Candidate of Technical Science, Associate
Professor,
S.A. Filimonov1, Candidate of Technical Science, Associate
Professor,
N.V. Filimonova1, Candidate of Technical Science,
1 Cherkasy State Technological University,
460, Shevchenko Blvd., Cherkasy, 18006, Ukraine,
phone +380 472 710092,
e-mail: halchvl@gmail.com, s.filimonov@chdtu.edu.ua
How to cite this article:
Halchenko V.Ya., Bondarenko Yu.Yu., Filimonov S.A., Filimonova N.V. Determination of influence of geometric
parameters of piezoceramic plate on amplitude characteristics of linear piezomotor. Electrical engineering &
electromechanics, 2019, no.1, pp. 17-22. doi: 10.20998/2074-272X.2019.1.03.
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| id | nasplib_isofts_kiev_ua-123456789-159031 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 2074-272X |
| language | Russian |
| last_indexed | 2025-12-07T18:45:21Z |
| publishDate | 2019 |
| publisher | Інститут технічних проблем магнетизму НАН України |
| record_format | dspace |
| spelling | Гальченко, В.Я. Бондаренко, Ю.Ю. Филимонов, С.А. Филимонова, Н.В. 2019-09-20T19:26:44Z 2019-09-20T19:26:44Z 2019 Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя / В.Я. Гальченко, Ю.Ю. Бондаренко, С.А. Филимонов, Н.В. Филимонова // Електротехніка і електромеханіка. — 2019. — № 1. — С. 17-22. — Бібліогр.: 15 назв. —рос., англ. 2074-272X DOI: https://doi.org/10.20998/2074-272X https://nasplib.isofts.kiev.ua/handle/123456789/159031 681.586 Целью статьи является определение влияния геометрических параметров статора линейного пьезокерамического двигателя в виде пьезокерамической пластины на характеристики ее амплитудных колебаний. Для проведения исследований использовалось математическое моделирование в среде пакета программ COMSOL Multiphysics с учетом взаимосвязи электростатических и механических явлений. Путем численного моделирования процесса функционирования линейного пьезокерамического двигателя определено рациональное отношение ширины к длине пьезокерамической пластины. Установлено также рациональное значение толщины h пьезокерамической пластины двигателя. Предложены аппроксимационные зависимости для определения параметров связи между геометрическими размерами пьезокерамической пластины линейного пьезодвигателя, что позволяет прогнозировать его характеристики. Адекватность модельных расчетов подтверждена экспериментальными исследованиями. Полученные результаты могут использоваться при проектировании пьезокерамических двигателей. Purpose. The purpose of the paper is to determine the influence of the geometric parameters of the stator of a linear piezoceramic motor in the form of a piezoceramic plate on the characteristics of its amplitude oscillations. Methodology. For the research, mathematical modeling in the COMSOL Multiphysics software package was used, taking into account the interrelation of electrostatic and mechanical phenomena. Results. By numerical simulation of the process of operating of a linear piezoceramic motor, a rational ratio of the width to the length of the piezoceramic plate is determined. Originality. The rational value of the thickness h of the piezoceramic plate of the motor is also established. Approximate dependencies are proposed for determining the parameters of the relationship between the geometric dimensions of the piezoceramic plate of a linear piezomotor, which makes it possible to predict its characteristics. The adequacy of calculation models is confirmed by experimental studies. Practical value. The results obtained can be used in the design of piezoceramic motors. ru Інститут технічних проблем магнетизму НАН України Електротехніка і електромеханіка Електричні машини та апарати Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя Determination of influence of geometric parameters of piezoce-ramic plate on amplitude characteristics of linear piezomotor Article published earlier |
| spellingShingle | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя Гальченко, В.Я. Бондаренко, Ю.Ю. Филимонов, С.А. Филимонова, Н.В. Електричні машини та апарати |
| title | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| title_alt | Determination of influence of geometric parameters of piezoce-ramic plate on amplitude characteristics of linear piezomotor |
| title_full | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| title_fullStr | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| title_full_unstemmed | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| title_short | Определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| title_sort | определение влияния геометрических параметров пьезокерамической пластины на амплитудные характеристики линейного пьезодвигателя |
| topic | Електричні машини та апарати |
| topic_facet | Електричні машини та апарати |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/159031 |
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