II.
How To Use ATILA
1.2
Circular Disk (Homework 2)
Ring
Vibrator
PROBLEM
- 3D Circular Plate, PZT4 = 50 mm outer f (inner
hole 20 mm f) x 1mm t
Radially
polarized
-
Learn how to assign
the polarization in the radial direction.
1.
|
Draw a PZT 4 ring with 50 mm and 20 mm in outer
and inner hole diameter, respectively. |
2.
|
Polarize the PZT ring in the radial direction, and apply an
voltage (1 V) on the inner surface and ground on the outer surface. |
3.
|
Calculate the vibration mode for 1 kHz (off-resonance) and
around 30-35 kHz (resonance). |
4.
|
The admittance spectrum, vibration mode animation should
be submitted in a Power
Point Presentation file. Also, discuss the physical reason why only the
inner part vibrates largely, in comparison with the outer part. |
HINT:
Cylindrical Polarization This type of condition applies to materials that are polarized radially
with respect to an axis. Piezoelectric tubes are a very common example.
Here, the direction z of the local coordinate system defines the axis
of the cylinder, as well as the direction M2 of the material. The direction
M3 of the material is radial with respect to the cylinder. Finally, M2
is in tangential to the cylinder.
GEOMETRY/DRAWING
Create Surface
Geometry -> Create -> Object -> Circle -> Enter a center
for the circle -> 0,0
-> Enter a normal for the circle -> Positive Z -> OK -> Enter
a radius for the circle -> 25 -> Enter
Geometry -> Create -> Object -> Circle -> Enter a center
for the circle -> 0,0 -> Enter a normal for the circle -> Positive
Z -> OK -> Enter a radius for the circle -> 10 -> Enter
Geometry -> Delete -> Surface
Continue by yourself.
POST
PROCESS/VIEW RESULTS
Click
for Opening the Post Calculation (Flavia) Domain
Click Admittance/Impedance
Result
Admittance Peak Point : 32000 Hz -> This peak corresponds
to the First Resonance
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Admittance Curve
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Resonance Mode at 32 kHz
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