Example3 Resonant Analysis

General

The model is a bar consisting of two piezoelectric materials which are piggybacked and reversely polarized.
The device’s displacement and the resonant frequencies are solved.
Unless specified in the list below, the default conditions will be applied.

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

The resonant analysis tab is set up as follows.

Tabs	Setting Item	Settings
Resonant analysis	The number of modes	3

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

One end is mechanically fixed. The voltages of top and bottom faces are 10[V] and 0[V] respectively. The same as Exercise 1.

* Available from the Material DB

The polarizations are set as follows.

Body Attribute Name

Tab

Settings

upper

Direction

Specifying method: Vector

Vector: X=Y=0.0, Z=1.0

lower

Direction

Specifying method: Vector

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	Voltage specified: Voltage 0[V]
hot/Face	Electric	Electric wall	Voltage specified: Voltage 10[V]

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

click [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.