Structural Diagram of Actuator for Nanobiotechnology by Afonin SM* in Open Access Journal of Biogeneric Science and Research
Abstract
The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is obtained. The structural diagram of an electro magnetoelastic actuator has a difference in the visibility of energy conversion from the circuit of a piezo vibrator. The electro magnetoelasticity equation and the differential equation are solved to construct the structural diagram and model of the actuator. The structural diagram of the piezo actuator is obtained by using the reverse and direct piezoelectric effects. The structural model of the piezo actuator for control systems in nanobiotechnology is written. The transfer functions of the electro magnetoelastic actuator are obtained.
Keywords: Structural diagram and model; Actuator; Nanobiotechnology; Electro magnetoelastic actuator; Piezo
actuator; Deformation; Transfer function
Introduction
Electro magnetoelastic actuators in the form of piezo actuators or magnetostriction actuators are used in nanomanipulators, laser systems, nano pumps, scanning and nanomanipulation in nanobiotechnology [1-6]. The piezo actuator is used for nano displacements in photolithography, in medical equipment for precise instrument delivery during microsurgical operations, in optical-mechanical devices, in adaptive optics systems, and in adaptive telescopes. It is also used in stabilization systems for optical-mechanical devices, systems for alignment and tuning of lasers, interferometers, adaptive optical systems and fiber-optic systems for transmitting and receiving information [4-12].
The electromagnetoelasticity equation and the differential equation are solved to obtain the structural model of the actuator. The structural diagram of the actuator has a difference in the visibility of energy conversion for from Cady and Mason electrical equivalent circuits of a piezo vibrator. The structural diagram of the actuator for nanobiotechnology is obtained by applying the theory of electro magnetoelasticity [4-8].
Structural Diagram
The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is changed from Cady and Mason electrical equivalent circuits [4-8]. The equation of electro magnetoelasticity [2-14] has the form of the equation of the reverse effect for the actuator
The equation of the force on the face of actuator has the form [10-15]
The differential equation of the actuator has the form [4-29]
coefficient of wave propagation, the speed of sound, the coefficient of attenuation
The decision of the differential equation of the actuator has the form
where C, B are the coefficients
The coefficients C , B have the form
The system of the equations stresses acting on its faces has the form
Figure 1: Structural diagram of actuator for nanobiotechnology.
The system of equations for the structural diagram on (Figure 1) and model of an actuator for nanobiotechnology has the form
electric field, H is the intensity of magnetic field.
After conversion the system of the equations for the structural model has form
After conversion the system of the equations has the form
Therefore, for the inertial load the steady-state displacements and of the actuator for nanobiotechnology have the form
Figure 2: Structural diagram of piezo actuator for nanobiotechnology.
After conversion (Figure 1) the structural diagram of the piezo actuator for nanobiotechnology has form (Figure 2)
The equation for the coefficient of the reverse piezoelectric effect is found in the form
Figure 3: Structural diagram of piezo actuator at elastic-inertial load.
The structural diagram of the piezo actuator for the lumped parameters is obtained on (Figure 3).
The transfer function of the piezo actuator for the lumped parameters on (Figure 3) at R=0 has the form
For the step input voltage the transient process of the piezo actuator at the transverse piezoelectric effect has the form
Characteristics
The characteristics of an electro magnetoelastic actuator for nanobiotechnology are obtained. The mechanical characteristic [10-38] of the actuator for nanobiotechnology is obtained as Si(Tj) or ^l(F) or , for example,
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
Figure 4: Mechanical characteristic of transverse piezo actuator.
For the transverse piezo actuator for nanobiotechnology at d31= 2∙10-10 m/V, E3= 1∙105 V/m, h= 2.5∙10-2 m, S0= 1.5∙10-5 m2, Se11= 15∙10-12 m2/N its parameters on (Figure 4) are found hmax= 500 nm and Fmax = 20 N.
At elastic load the regulation line of an electro magnetoelastic actuator for nanobiotechnology is obtained in the form
Therefore, the equation of the displacement at elastic load has the form
For the transverse piezoelectric effect of the piezo actuator for nanobiotechnology the equation of the displacement at elastic load has the form
Theoretical and practical parameters are coincidences with an error of 10%.
For calculations the mechatronics control systems in nanobiotechnology with an electro magnetoelastic actuator its characteristics are found.
Conclusion
The structural diagram of an electro magnetoelastic actuator for nanobiotechnology is obtained. The structural diagram of an electro magnetoelastic actuator has a difference in the visibility of energy conversion from the circuit of a piezo vibrator. The structural diagram of an electro magnetoelastic actuator for nanotechnology is changed from Cady and Mason electrical equivalent circuits of a piezo vibrator.
The structural diagram of an electro magnetoelastic actuator is found from its electro magnetoelasticity and differential equations. The structural diagram of the piezo actuator is obtained using the reverse and direct piezoelectric effects. The back electromotive force for the piezo actuator is written from the direct piezoelectric effect. The characteristics of an electro magnetoelastic actuator for nanobiotechnology are obtained. The regulation line of the piezo actuator is found.
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