Example6 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.
     

 

Analysis Space

Item

Settings

Analysis Space

Axisymmetric

Model unit

mm

 

Analysis Conditions

Item

Settings

Solvers

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: 1×10^3[Hz]

Maximum: 100×10^3[Hz]

Step

Select “Linear step by division number”.

Division number: 200

Sweep Setting

Select Fast sweep.

Tolerance: 1.0×10^-3

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

Voltage specified: Voltage 0[V]

hot/Face

Electric

Electric wall

Voltage specified: Voltage 1[V]

ux/Edge

Mechanical

Displacement

UX = 0.0[m]

Results

The calculated impedance characteristics is shown below.

There are 4 resonances exhibited in the frequency range of 1 to 100[kHz].