Electro Magneto Elastic Actuator for Nanomedical Research

The electro magneto elastic actuator with the piezoelectric, piezomagnetic, electrostriction, magnetostriction effects is used for nanomedical research in the scanning tunneling microscopy.


Aim
The aim of this work is to construct the structural diagram and the matrix transfer function of the electro magneto elastic actuator for control systems of nanomedical research.

Method
The method of mathematical physics is used to solve the wave equation with the Laplace transform for obtain the structural diagram, the matrix transfer function, the characteristics of the electro magneto elastic actuator for nanomedical research.

Results
We constructed the structural diagram and the matrix transfer function of the electro magneto elastic actuator. The structural diagram of the electro magneto elastic actuator is difference from Cady and Mason electrical equivalent circuits. The method of the mathematical physics we used for the determination the structural diagram of electro magneto elastic actuator for nanomedical research. The generalized equation [8,11,18,26] of the electro magneto elasticity has the form where ( ) in the form the thickness, the height and the width for the longitudinal, transverse and shift piezoeffect. In the foundation the structural diagram actuator is used decision with Laplace transform the wave equation for the wave propagation in the long line with damping but without distortions. We obtained with using Laplace transform the linear ordinary second-order differential equation with the parameter p [8,14,18].
is the Laplace transform of the displacement of section of the actuator,  We determined the generalized structural-parametric model, the generalized structural diagram [7,8,14] of the actuator on ( Figure 1) by the method of the mathematical physics with using the equation of the electro magneto elasticity and the boundary conditions in the following form Where mi v is the electro magneto elastic coefficient, mi d is the piezomodule or the magnetostrictive coefficient, mi g is the piezomodule, ij S Ψ is the elastic compliance, 0 S is the cross section is the matrix of the Laplace transforms of the displacements for the faces of the actuator, ( ) ( ) W p is the matrix transfer function, ( ) ( ) P p the matrix of the Laplace transforms of the control parameter and the forces. We calculated the matrix transfer function of the electro magneto elastic actuator for control system of nanomedical research. We obtained the transfer function of the transverse piezoactuator with one fixed face for the elastic-inertial load from (4)

Summary
We obtained the structural diagram and the matrix transfer function of the electro magneto elastic actuator for control systems of nanomedical research.

Conclusion
We constructed the generalized structural diagram of the electro magneto elastic actuator for nanomedical research with the mechanical parameters the displacement and the force in the difference from Cady and Mason electrical equivalent circuits. The generalized structural diagram, the matrix transfer function and the characteristics of the electro magneto elastic actuator are determined for describe the dynamic and static characteristics of the actuator in control systems.