CAE Software【Femtet】Murata Software Co., Ltd.
Resonant analysis is performed for a piezoelectric bar. Electrodes are set with sheet body.
The results are compared with other electrode settings.
(The conditions below are applicable for sheet-body electrodes)
Unless specified in the list below, the default conditions will be applied.
Item |
Settings |
Analysis Space |
3D |
Model unit |
mm |
The analysis type is resonant analysis.
Item |
Settings |
Solvers |
Piezoelectric Analysis [Rayleigh] |
Analysis Type |
Resonant analysis |
Options |
N/A |
The resonant analysis tab is set up as follows.
Tab |
Setting Item |
Settings |
Resonant analysis |
Number of modes |
10 |
Approximated frequency |
4.45[MHz] |
Electrodes are set on the top and bottom faces of a rectangular piezoelectric rod.
The “electric wall” boundary condition specified by voltage is set on them.
The electrodes are sheet body with body attribute name and material assigned.
Body Number/Type |
Body Attribute Name |
Material Name |
0/Solid |
piezo |
000_P-4 * |
1/Sheet |
BA1 |
002_Au * |
2/Sheet |
BA1 |
002_Au * |
* Available from the Material DB
The polarizations are set as follows.
Body Attribute Name |
Tab |
Settings |
piezo
|
Direction |
Specifying method: Vector Vector: X=1.0, Y=0.0, Z=0.0 |
Body_Attribute_001 |
Thickness/Width |
Thickness of Sheet Body: 1×10^-3 |
Boundary Condition Name/Topology |
Tab |
Boundary Condition Type |
Settings |
earth/Face |
Electric |
Electric wall |
Voltage specified: Voltage 0[V] |
hot/Face |
Electric |
Electric wall |
Voltage specified: Voltage 1[V] |
The displacement vectors at thickness-shear-mode vibration is shown below.
For comparison, the electrodes are changed to solid body and imprinting body.
The resulting frequency characteristics of impedance are compared. There is not much difference between the sheet body and the solid body.
The thickness of electrodes is taken into account in case of sheet body, whereas it is not in case of imprinting body. The calculation speed is much faster with sheet body than with solid body.
Electrodes definition |
Resonant frequency |
Calculation time * |
Imprinting body |
4.52965841[MHz] |
0.93 |
Sheet body |
4.45622519[MHz] |
1.00 |
Solid body |
4.45601571[MHz] |
1.43 |
* The calculation time is relative with referenced to that of sheet-body electrodes.