Home / Examples / Piezoelectric Analysis [Rayleigh] / Example 6: Axisymmetric Analysis

Example 6: Axisymmetric Analysis

General

• An axisymmetric piezoelectric vibrator is analyzed.
   

• Harmonic analysis is performed in the frequency range of 1 to 100 [kHz]. The impedance of the device is solved.
   

• Unless specified in the list below, the default conditions will be applied.
   

• Obtain this session's project file. (Right-click and choose 'Save link as')




• Results will vary depending on Femtet version and the PC environment.

 

Analysis Space

Item	Settings
Analysis Space	Axisymmetric
Model Unit	mm

 

Analysis Conditions

Use an axisymmetric model for the axisymmetric analysis.

Item	Settings
Solver	Piezoelectric Analysis [Rayleigh]
Analysis Type	Harmonic Analysis
Options	N/A

 

The harmonic analysis tab is set up as follows.

Tab	Setting Item	Settings
Harmonic analysis	Frequency	Minimum: 1x103 [Hz] Maximum: 100x103 [Hz]
	Sweep Type	Select [Linear Step by Division Number]. Division Number: 200
	Sweep Setting	Discrete Sweep

Model

The model is symmetric with reference to x = 0 axis. It consists of sheet bodies.

The "displacement" boundary condition is set on the edge topology.

Body Attributes and Materials

Body Number/Type	Body Attribute Name	Material Name
0/Sheet	metal	104_Stainless_steel *
1/Sheet	piezo	000_P-4 *
2/Sheet	metal	104_Stainless_steel *

* Available from the material DB

Boundary Conditions

Boundary Condition Name/Topology	Tab	Boundary Condition Type	Settings
earth/Face	Electric	Electric Wall	Electric Potential Specified: Electric Potential 0 [V]
hot/Face	Electric	Electric Wall	Electric Potential Specified: Electric Potential 1 [V]
ux/Edge	Mechanical	Displacement	UX = 0.0[m]

Results

The calculated impedance characteristics from an S(Y) parameters graph is shown below.

To show dB on the Y axis, select [dB] as the complex number format in the Graph Properties.

 

There are four resonances exhibited in the frequency range of 1 [kHz] to 100 [kHz].