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# Multilayer Engine for Microsurgery and Nano Biomedicine Volume 4 - Issue 4

Afonin SM*

• National Research University of Electronic Technology, MIET, Moscow, Russia

Received: February 17, 2020;   Published: February 24, 2020

Corresponding author: Afonin SM, National Research University of Electronic Technology, MIET, Moscow, Russia

## Abstract

In this paper, the structural circuit of the multilayer engine for microsurgery and nano biomedicine is received. We obtained the characteristics of the multilayer engine.

Keywords: Multilayer engine; Structural circuit

## Introduction

The multilayer engine with the piezoelectric or electrostriction effects is used for microsurgery and nano biomedicine [1-9]. We received the structural circuit of the multilayer engine in contrast to Cady’s and Mason’s equivalent circuits [9-32]. We determined the mathematical model and the structural circuit of the multilayer engine with the equation of the electro elasticity and the matrix of the quadripole for the multilayer engine.

## Structural Circuit of the Multilayer Engine

We received the structural circuit of the multilayer engine for microsurgery and nano biomedicine in difference from Cady’s and Mason’s equivalent circuits [1–14]. We have the matrix equation electro elasticity [7,8,14] in the form

Si = vmi Ψm + sijΨ Tj

In this equation we write the relative displacement, the coefficient of electro elasticity, the control parameter, the elastic compliance, the mechanical stress in the forms Si, vmi, Ψm, sijΨ, Tj

The causes force for the multilayer engine has the form

where S0 is the area of the multilayer engine
The matrix of the quadripole for the multilayer engine [7, 29, 31] has the form

In this equation we write l is the length of the multilayer engine and γ is the coefficient propagation.
We have the structural circuit of the multilayer engine for microsurgsery and nano biomedicine on Figure 1 from its mathematical model in the form

We have the matrix equation of the multilayer engine for microsurgery and nano biomedicine in the form

[Ξ(p)]= [W(p)][P(p)]

Figure 1: Structural circuit of the multilayer engine for microsurgery and nano biomedicine.

In this equation we write the matrixes [Ξ(p)], [W(p)], [P(p)].
In static for the multilayer engine with longitudinal piezo effect and one fixed end we received displacement in the form

where Ce , CE33 are the rigidity of the load and the rigidity of the multilayer engine for E = const . We received for the multilayer engine at d33 = 4⋅10−10 m/V, n=12, U=200V, CE33 = 2⋅107 N/m, Ce = 0.4∙107 N/m the static displacement ξ2 = 800 nm. We obtained the transfer function with lumped parameters of the multilayer engine with longitudinal piezo effect and one fixed end in the form

where Tt , ξt are the time constant, the damping coefficient of the multilayer engine. Therefore, for the multilayer engine at d33 = 4⋅10−10 m/V, n = 12, U = 200 V, M2 = 4 kg, 7 CE33 = 2∙107 N/m, Ce= 0.4∙107 N/m we have ξ2 = 800 nm and Tt = 0.4∙10-3 s.

## Conclusion

The structural circuit of the multilayer engine for microsurgery and nano biomedicine is obtained. The characteristics of the multilayer engine are received with using its structural circuit.

## References

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