Structural Scheme A Piezoengine Nanodisplacement for Biomedical Science and Research

Abstract

The structural scheme a piezo engine nano displacement is obtained for biomedical science and research. The structural structural scheme a piezo engine nano displacement is constructed by method mathematical physics. In biomedical science and research, the nano displacements are determined.

Keywords: Piezo engine, Structural scheme, Nano displacement, Biomedical research

Introduction

The structural scheme a piezo engine nano displacement is constructed for biomedical science and research [1-23]. A piezoengine is used in scanning microscopy, microsurgery, damping vibration, adaptive optics system for biomedical science and research [24-64].

Method

For the structural sheme a piezoengine is used method of mathematical physics with the solution the reverse piezoeffect equation [3-39] and its differential equation

at the voltage control

at the current the control

here S_i , E_m , D_m , T_j , d_mi, g_mi, s^E_ij, s^D_ij are the relative displacement, the electric field strength, the electric induction, the mechanical field strength, piezomodules, the elastic compliances, and the low indexes i, j, m.

The ordinary differential equation of piezoengine [8-60] is written

here Ξ(x,s), x , s, γ are the transform of the displacement, its coordinate and parameter, the propagation coefficient and the general length l = { l, δ, b of piezoengine nanodisplacement.

Structural Scheme

For the longitudinal piezoengine the solution of its differential equation is determined

The system boundary conditions for the longitudinal piezoengine has the form

The transform of the force causes displacement for the longitudinal piezoengine has the form

here S₀ is cross sectional area. Its longitudinal reverse coefficient

The structural model of the longitudinal piezoengine has the form

For the shif piezoengine the solution of its differential equation is determined

The system of conditions for the shift piezoengine has the form

The transform of the force causes displacement for the shift piezoengine has the form

Its shif reverse coefficient

The structural model of the shift piezoengine has the form

For the transverse piezoengine the solution of its differential equation is obtained

The system boundary conditions for the transverse piezoengine has the form

The transform of the force causes displacement for the transverse piezoengine has the form

The transverse reverse coefficient has the form

The structural model of the transverse piezoengine has the form

In general the equation of inverse piezoeffect [3-41] has the form

here Ψ_m = E_m , D_m is control parameter at the voltage or current control.

The system boundary conditions for a piezoengine is determined

The transformation of force causes displacement has the form

The general structural scheme a piezoengine a piezoengine a piezoengine on Figure 1 and its model for biomedical science and research has the form

(Figure 1)

Figure 1:General scheme piezoengine for biomedical science and research..

The displacement matrix is founded

here its functions

Then static longitudinal displacements at the voltage control for biomedical science and research have the form

At the PZT engine d₃₃ = 0.4 nm/V, U = 150 V, M₁ = 1 kg, M₂ = 4 kg its displacements are determined ξ₁ = 48 nm, ξ₂ = 12 nm, ξ₁ + ξ ₂= 60 nm at 10% error.

here k is the index,ε^E_mk is the permittivity. Its direct coefficient

The transform of the voltage for the feedback on Figure 2 at the voltage control of piezoengine has the form for two its ends

(Figure 2)

Figure 2:Scheme engine with feedbacks at voltage control for biomedical science and research.

The mechanical characteristic of piezoengine has the form

The adjustment characteristic

The mechanical characteristic of transverse piezoengine has the form

At the PZT engine d₃₁ = 0.2 nm/V, E₃ = 0.5∙10⁵ V/m, h = 2.5∙10^-2 m, S0 = 1.5∙10^-5 m², 11 sE = 15∙10^-12 m²/N the maximum displacement and force are determined Δh_max = 250 nm and _max = 10 N at 10% error.

The relative displacement a piezoengine at elastic load has the form

The adjustment characteristic a piezoengine has the form

The scheme the piezoengine at the voltage control on Figure 3 is determined for first fixed end and elastic inertial load (Figure 3).

Figure 3:Scheme engine with feedbacks at voltage control for biomedical science and research.

Its function at the voltage control for fixed first end and elastic inertial load Figure 3 has the form

For R = 0 its function has the form

Discussion

A piezoengine is used for biomedical science and research in system adaptive optics and scanning microscopy, microsurgery. At using method mathematical physics the structural scheme, a piezoengine is constructed. Its displacement matrix is founded. The schemes with the feedbacks at the voltage control are determined.

Conclusions

The general structural scheme a piezoengine is obtained. The displacement matrix is founded. The parameters of PZT engine at the voltage control are determined for biomedical science and research in system adaptive optics and scanning microscopy, microsurgery.

Conflicts of Interest

None.

Acknowledgement

None.

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