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

  • 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%.

L1 Mode
B4 Mode
Simulation Example: L1 and B4 mode frequencies coinside at 4.28 mm thickness.

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