CAE Software【Femtet】Murata Software Co., Ltd.
General
The measured resonant frequency and the theoretical value of cantilever will be compared.
The material is not piezoelectric.
Item |
Setting |
Solver |
Piezoelectric Analysis [Rayleigh] |
Analysis Space |
2D |
Analysis Type |
Resonant Analysis |
Unit |
mm |
Analysis Plane |
2D section |
Variables to Constrain |
Select “Voltage” and “Y displacement” Deselect “X displacement” and “Z displacement”
|
Options |
Deselected |
Left end is fixed.
Body Number/Type |
Body Attribute Name |
Material Name |
0/Solid |
Body_Attribute_001 |
Material_Property_001 |
Material Name |
Tab |
|
Material_Property_001 |
Piezoelectricity |
Piezoelectricity: No Anisotropy: Isotropic Young’s modulus: 1×10^10[Pa] Poisson’s ratio: 0.0 |
Body Attribute Name |
Tab |
|
Body_Attribute_001 |
Thickness/Width |
Thickness of sheet body: 1.0[mm] |
Boundary Condition Name/Topology |
Tab |
Boundary Condition Type |
Setting |
fix/Face |
Mechanical |
Displacement |
Select all UX, UY, and UZ. UX=0, UY=0, UZ=0 |
The resonant frequency calculated by Femtet is compared to the theoretical value of cantilever.
The difference between the measured and the theoretical values is given in the following equation.
Difference = (Resonant frequency/Theoretical value of cantilever) – 1.0
The theoretical value is given in the following equation.
f0: Resonant frequency[Hz]
E: Young’s modulus[Pa]
I: Second moment of section (=(depth x (height^3))/12)[m4]
ρ: Density[kg/m3]
A: Section area[m2]
l:: Length[m]
λ=1.8751