Review Article - (2018) Volume 1, Issue 2
Electromagnetoelastic Actuator for Nanobiomedical Research
Received Date: Aug 13, 2018 / Accepted Date: Aug 19, 2018 / Published Date: Aug 28, 2018
Copyright: ©Copyright: ©2018 Afonin SM. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited
Abstract
In this work the structural diagram and the transfer functions, the characteristics of the electromagnetoelastic actuator for nanobiomedical research are obtained. The generalized structural diagram, the matrix transfer functions of the electromagnetoelastic actuator make it possible to describe the characteristics of the actuator with regard to its physical parameters, external load.
Keywords
Electromagnetoelastic actuator, Piezoactuator, Electromagnetoelasticity, Structural diagram, Transfer functionIntroduction
The electromagnetoelastic actuator for nanodisplacement on the piezoelectric, piezomagnetic, electrostriction, magnetostriction effects is used in the electromechanics systems for the nanobiomedical research in the scanning sensing microscopy [1-8].
When designing the nanotechnology equipment, the static and dynamic characteristics, the mathematical model, the structural diagram and transfer functions of the electromagnetoelastic actuator are calculated [9-18].
The mathematical model, the structural diagram and transfer functions the electromagnetoelastic actuator based on the electromagnetoelasticity make it possible to describe the dynamic and static properties of the electromagnetoelastic actuator for the nanomedicine research with regard to its physical parameters and external load [19-22].
Structural Diagram of Electromagnetoelastic Actuator
Let us consider the structural diagram of the electromagnetoelastic actuator for the nanobiomedical research in contrast Cady and Mason electrical equivalent circuits. The method of mathematical physics is applied for the solution the wave equation and for the determination the structural diagram of the electromagnetoelastic actuator for nanomedicine research [1-18].
For the electromagnetoelastic actuator let us consider the generalized equation of the electromagnetoelasticity in the form [8,11,18]

the voltage control along axis m, Dm is the electric induction for the current control along axis m, Hm for magnetic field strength control along axis m, Tj is the mechanical stress along axis j, vmi is the electromagnetoelastic coefficient or the electromagnetoelastic module, for example, the piezoelectric module, sij Ψ is the elastic compliance for the control parameter Ψ=const, and the indexes i= 1, 2, … , 6; j = 1, 2, … , 6; m = 1, 2, 3.
The main size of the electromagnetoelastic actuator is determined us the working length l={δ,h,b for the actuator or for the piezoactuator in following form the thickness, the height and the width for the longitudinal, transverse and shift piezoeffect.
The mathematical model and the generalized structural diagram of the electromagnetoelastic actuator on Figure 1 are determined, using method of the mathematical physics for the solution of the wave equation, the boundary conditions and the equation of the electromagnetoelasticity, in the following form [7,14]

vmi is the electromagnetoelastic coefficient, Ψm ={Em, Dm, Hm is the control parameter, Em is the electric field strength for the voltage control along axis m, Dm is the electric induction for the current control along axis m, Hm for magnetic field strength control along axis m, s Ψ is the elastic compliance, d is the piezomodule at the
voltage-controlled piezoactuator or the magnetostrictive coefficient for the magnetostrictive actuator, gmi is the piezomodule at the current-controlled pΨiezoactuator, S0 is the cross section area, M1, M2 are the mass on the faces of the actuator, Ξ1 (p), Ξ2 (p) and F1(p), F2(p) are the Laplace transforms of the appropriate displacements and the forces on the faces 1, 2.

Figure 1: Generalized structural diagram of electromagnetoelastic actuator for the nanobiomedical research
The structural diagrams of the voltage-controlled or current-controlled piezoactuator are determined from the mathematical model of the electromagnetoelastic actuator.
Matrix Transfer Function of Electromagnetoelastic Actuator
The matrix transfer function of the actuator is deduced from its mathematical model (4) in the following form [8,14,18 ]

where (Ξ1 (p)) is the column-matrix of the Laplace transforms of the displacements for the faces of the electromagnetoelastic actuator, (W (p)) is the matrix transfer function, (P (p)) is the column-matrix of the Laplace transforms of the control parameter and the forces
Conclusion
The characteristics, the mathematical model, the structural diagram and transfer functions of the electromagnetoelastic actuator for the nanobiomedical research are obtained.
The generalized structural diagram, the transfer functions of the electromagnetoelastic actuator make it possible to describe the dynamic and static properties of the actuator with regard to its physical parameters, external load.
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