Example27 Transient Analysis of Pressure Drive

General

  • Transient resonant analysis
     

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

Analysis Space

Item

Setting

Analysis Space

2D

Model Unit

mm

 

Analysis Conditions

To execute the transient resonant analysis, settings on the resonant analysis tab and the transient analysis tab are required.

 

Item

Setting

Solver

Piezoelectric analysis [Rayleigh]

Analysis Type

Transient resonant analysis

 The resonant analysis tab is set up as follows. The transient analysis tab is also set up as follows.

 

Tab

Setting Item

Setting

Resonant Analysis

Number of modes

3

Approximated frequency

0[Hz]

Transient Analysis

Timestep

Select “Manual”
5×10-6[Sec](*)

Output steps

1

Calculation steps

100

Mesh

Meshing setup/Element type

Select rectangular (**)

(*) For the timestep, the period of the lowest resonant frequency (8KHz) is used as the reference. In this case, it is 1.25e-4 [s]. The standard timestep is set as [period/10], but to be on the safe side, it is set as [period/25] to give more steps. (**)The triangle is the standard element for the 2D analysis. In this example, rectangle is selected to demonstrate that the rectangular mesh also can be used.

Model

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Face

METAL

001_Al *

1/Face

PIEZO

000_P-4 *

* Available from the material DB

Boundary Condition

The time dependency of the applied voltage is defined by weight function.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

P/Edge

 

 

Mechanical

Pressure

2[Pa]

Select [Time Dependency]

Enter [Weight Function] as shown in the diagram below.

 

Electric

Electric Wall

Magnetic wall

V0/Edge

Mechanical

Free

 

Electric

Electric Wall

Voltage specified: Voltage 0[V]

FLOAT/Edge

Mechanical

Free

 

Electric

Electric Wall

Floating electrode

FIX/Edge

Mechanical

Displacement

UX=0.0, UY=0, UZ=0

Electric

Magnetic wall

 

 

Below are the [Weight Function] table on the Pressure tab and the graphs. Since the input pressure is 2 [Pa] and the maximum weight is 1, the maximum value of the applied pressure is also 2 [Pa].

Results (Resonant Analysis)

The displacement diagram is shown below with the mesh diagram.

 

Results (Transient Analysis)

Shown below is the X normal stress of the result of the last analysis time.

 

 

Shown below is the voltage distribution of the result of the last analysis time.

 

The potential change of the floating electrode over time is shown in the graph below.

The horizontal axis is the modes. The coordnates on the floating electrode are specified. The coordinates can be obtained with the mouse.

See Show Results / Fields / Field Graph for how to use graph.