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II.
How To Use ATILA
5.2
P-Shape USM (Homework 8)
Metal
Thickness Optimization
PROBLEM
- L1B4 Type USM 2D Model :
Brass
Bar L = 46 mm, t = ? mm
Leg
L = 10 mm, t = 2 mm
PZT
4 L = 11.5 mm, t = 1 mm
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- Learn how to optimize the metal bar thickness
1. |
Keeping the Leg size constant and the Bar length
constant, obtain the admittance curves by changing the Bar thickness
from 2 mm to 6 mm (2, 3, 4, 5 and 6). |
2. |
Obtain typical mode animations to make sure the L1 and B4 Modes
exchange with changing the Bar thickness. |
3. |
Obtain the optimized Bar thickness. |
4. |
Show the Leg tip elliptical locus. Show the x and y displacement
magnitude under 1 V applied. |
HINT:
GEOMETRY/DRAWING
Create Surface 
Create the coordinate map as illustrated below (you may use
46 mm, instead of our original 45.9 mm), and draw the motor in
2D map.
ESTIMATION
OF THE RESONANCE FREQUENCIES OF B4 AND L1 MODES

Example
Data for a Different Design
Note that the optimum Thickness diffrence
between the calculation and experiment is less than 3%.
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L1 Mode
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B4 Mode
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Simulation Example: L1
and B4 mode frequencies coinside at 4.28 mm thickness.
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