Example 3: Resonant Analysis

The model is a bar with two reversely polarized piezoelectric plates stuck together. The model is studied in the resonant analysis.
The device's displacement and the resonant frequencies are 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')

Item	Settings
Solver	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	3

Two solid bodies are created. They are named "upper" and "lower", and reversely polarized.

One end is mechanically fixed. The electric potentials of top and bottom faces are 10 [V] and 0 [V], respectively. The same model as the example 1.

* Available from the material DB

The polarizations are set as follows.

Body Attribute Name

Tab

Settings

upper

Direction

Vector Specified:

Vector: X=Y=0.0, Z=1.0

lower

Direction

Vector Specified:

Vector: X=Y=0.0, Z=-1.0

Boundary Condition Name/Topology	Tab	Boundary Condition Type	Settings
fix/Face	Mechanical	Displacement	Select all UX, UY, and UZ. UX=0, UY=0, UZ=0
earth/Face	Electric	Electric Wall	Electric Potential Specified: Electric Potential 0 [V]
hot/Face	Electric	Electric Wall	Electric Potential Specified: Electric Potential 10 [V]

To see the calculation results, go to the [Results] tab

and click [Show Numerical Summary Table] .

The table below shows the resonant frequencies.

Other characteristics can be seen on other tabs.

The displacement diagram of Mode[0] is shown below.

The displacement diagram of Mode[1] is shown below.

The vibration direction is different from Mode[0]

The displacement diagram of Mode[2] is shown below.

The vibration direction is the same as Mode[0], but the number of nodes are different.