Home / Examples / Piezoelectric Analysis [Rayleigh] / Example 8: Periodic Structure

Example 8: Periodic Structure

General

 

 

• A piezoelectric bar with a periodic structure is analyzed. The analysis is done for a base unit of the periodic structure.
   

• The periodic boundary condition is set on either face of the base unit.
   

• 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	3D
Model Unit	mm

 

Analysis Conditions

Item	Settings
Solver	Piezoelectric Analysis [Galileo]
Analysis Type	Resonant Analysis
Options	N/A

 

 

Tab	Setting Item	Settings
Resonant analysis	Number of Modes	3
	Approximated Frequency	0 [Hz]

Model

Cut the model with symmetric planes and set the periodic boundary condition to the sections. The top face is fixed at 1 [V].

The bottom face is fixed at 0 [V].

 

 

 

 

Body Attributes and Materials

Body Number/Type	Body Attribute Name	Material Name
4/Solid	UNIT	000_P-4 *

* Available from the material DB

 

 

Boundary Conditions

Boundary Condition Name/Topology	Tab	Boundary Condition Type	Settings
p1/Face	Symmetry/Continuity	Periodic
p2/Face	Symmetry/Continuity	Periodic
hot/Face	Electric	Electric Wall	Electric Potential 1 [V]
earth/Face	Electric	Electric Wall	Electric Potential 0 [V]

 

 

For the periodic boundary conditions, p1 and p2,

 

On the [Model] tab
 

 

click [Boundary Pair] and register the pair. Select p1 and p2 for registration.

 

 

 

 

When "Add" is clicked, the dialog box below will appear. Enter the phase difference between p1 and p2.

If in-phase, it will be 0 [deg]. If completely out-of-phase, it will be 180 [deg].

 

 

 

Click OK to finish.

 

 

Results

The contour diagram shows the magnitude of displacement.

The boundary pair, p1 and p2, are displaced in the same magnitude.