The characteristics of an electromagnetoelastic actuator for nanomechanics and nanotechnology
are received. The structural diagram of an electromagnetoelastic actuator for nanomechanics and
nanotechnology is obtained. The structural diagram of an electromagnetoelastic actuator has a difference
in the visibility of energy conversion from Cady and Mason electrical equivalent circuits of a piezo
vibrator. The matrix transfer function of an electromagnetoelastic actuator is obtained.
Keywords: Electromagnetoelastic actuator; Characteristics; Structural diagram; Piezo actuator;
Deformation; Matrix transfer function; Nanomechanics and nanotechnology
An electromagnetoelastic actuators in the form of piezo actuators or magnetostriction
actuators are used in nanomechanics and nanotechnology for nanomanipulators, laser systems,
nano pumps, scanning microscopy [1-5]. The piezo actuator is used for nano displacements
in photolithography, microsurgical operations, optical-mechanical devices, adaptive optics
systems and adaptive telescopes, fiber-optic systems [6-15]. The electromagnetoelasticity
equation and the differential equation are solved to obtain the structural model of an
electromagnetoelastic actuator. The structural diagram of an electromagnetoelastic actuator
has a difference for from Cady and Mason electrical equivalent circuits of a piezo vibrator
in the visibility of energy conversion. The structural diagram of an electromagnetoelastic
actuator for nanomechanics and nanotechnology is obtained by applying the theory of
electromagnetoelasticity [4-12].
The structural diagram of an electromagnetoelastic actuator for nanomechanics and
nanotechnology is changed from Cady and Mason electrical equivalent circuits [4-8]. The
equation of electromagnetoelasticity [1-15] has the form of the equation of the reverse effect
for the actuator
where and Tj are the relative deformation, the module, the control
parameter or the intensity of field, the elastic compliance, and the mechanical intensity.
Let us consider in static regime the characteristics of an electromagnetoelastic actuator
for nanomechanics and nanotechnology. The mechanical characteristic [4-39] of an
electromagnetoelastic actuator has the form
The regulation characteristic [4-39] an electromagnetoelastic actuator has the form
The mechanical characteristic of an electromagnetoelastic actuator has the form
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
For the transverse piezo actuator for nanomechanics and
nanotechnology at its parameters are found Δhmax = 100nm and Fmax = 4N.
At elastic load the regulation characteristic of an
electromagnetoelastic actuator for nanomechanics and
nanotechnology is obtained in the form
The equation of the displacement of an electromagnetoelastic
actuator at elastic load has the form
For the transverse piezo actuator for nanomechanics and
nanotechnology the equation of the displacement at elastic load
has the form
where is the transfer coefficient.
Therefore, at
0.4∙107N/m, U = 200V, its parameters are found = 2.8nm/V and
steady-state displacement Δh = 560nm. Theoretical and practical
parameters are coincidences with an error of 10%.
Let us consider in dynamic regime the characteristics
of an electromagnetoelastic actuator for nanomechanics
and nanotechnology. The differential equation of an
electromagnetoelastic actuator has the form [4-32]
where Ξ(x, p) is the transform of Laplace for displacement;
p , γ , cΨ , α are the operator of transform, the coefficient of wave
propagation, the speed of sound, the coefficient of attenuation
The decision of the differential equation of an
electromagnetoelastic actuator has the form
where C , B are the coefficients
The coefficients C , B have the form
where 1(p) Ξ , 2 (p) Ξ are the transforms of Laplace displacement
of faces 1 and 2 for an electromagnetoelastic actuator.
The system of the equations for the forces on faces of an
electromagnetoelastic actuator is found [10-38]
where M1 , M2 , F1(p), F2 (p) , Tj (0 , p) , Tj (l , p), S0 are the masses of the
load, the transforms of Laplace the forces and the stress on faces 1
and 2, the area of an actuator.
The system of the equations the transforms of Laplace the
stresses acting on faces of an electromagnetoelastic actuator has
the form
The system of equations for the structural diagram on Figure 1
and model of an electromagnetoelastic actuator for nanomechanics
and nanotechnology has the form
Figure 1:Structural diagram of electromagnetoelastic
actuator for nanomechanics and nanotechnology.
where is
the intensity of electric field, H is the intensity of magnetic field.
The matrix equation for an electromagnetoelastic actuator with
matrix transfer function has the form
Therefore, at the inertial load the steady-state displacements ,
of an electromagnetoelastic actuator have the form
For the mechatronics control systems with an
electromagnetoelastic actuator its characteristics are found.
In work the characteristics of an electromagnetoelastic
actuator for nanomechanics and nanotechnology are received.
The structural diagram of an electromagnetoelastic actuator for
nanomechanics and nanotechnology is obtained. The structural
diagram of an electromagnetoelastic actuator has a difference
from Cady and Mason electrical equivalent circuits of a piezo
vibrator in the visibility of energy conversion. The structural
diagram of an electromagnetoelastic actuator is found from its
electromagnetoelasticity and differential equations. The matrix
transfer function of an electromagnetoelastic actuator is received.
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Professor, Chief Doctor, Director of Department of Pediatric Surgery, Associate Director of Department of Surgery, Doctoral Supervisor Tongji hospital, Tongji medical college, Huazhong University of Science and Technology
Senior Research Engineer and Professor, Center for Refining and Petrochemicals, Research Institute, King Fahd University of Petroleum and Minerals (KFUPM), Dhahran, Saudi Arabia
Interim Dean, College of Education and Health Sciences, Director of Biomechanics Laboratory, Sport Science Innovation Program, Bridgewater State University