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

Admittance Curve
Resonance Mode at 32 kHz

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