Example24 Potential Generated by Coriolis Force

General

  • A model in this example is a tuning fork-shaped piezoelectric device to detect the Coriolis force.
    The model has piezoelectric driving plates and those to detect angular velocity.
     

  • A displacement diagram of the piezoelectric device and analysis results of potential of the detecting electrodes are shown below.
     

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

Analysis Condition

Item

Setting

Solver

Piezoelectric analysis [Rayleigh]

Analysis Space

3D

Analysis Type

Harmonic analysis

Unit

mm

Options

Angular velocity

The harmonic analysis tab is set up as follows.

The angular velocity tab is also set up as follows.

Tab

Setting Item

Setting

Harmonic Analysis

 

Sweep Values

Minimum: 8000[Hz]

Maximum: 8000[Hz]

Sweep Type

Select “Linear step by division number”.

Division number: 0

Sweep Setting

Select fast sweep.

Tolerance: 1.0×10^-2

Angular Velocity

Angular velocity

X = Y = 0, Z = 10[deg/s]

Model

The driving elements piezo1 and piezo2 are placed on the surface of the U-shaped aluminium body.

The detecting elements piezo3 and piezo4 are also placed.

The potential boundary condition of 0V is set on the backside of each element. On the surface of the driving elements,

the driving voltage of 1V is set. The floating electrode is set on the surface of the detecting elements.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

3/Solid

metal

001_Al *

4/Solid

piezo1

000_P-4 *

5/Solid

piezo2

000_P-4 *

6/Solid

piezo3

000_P-4 *

7/Solid

piezo4

000_P-4 *

* Available from the Material DB

 

To set the polarization direction of piezoelectric material P-4, the body attribute direction is set as follows.

Body Attribute Name

Direction

piezo1

Specified by: Vector

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

piezo2

Specified by: Vector

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

piezo3

Specified by: Vector

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

piezo4

Specified by: Vector

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

Boundary Condition

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

fix/Face

Mechanical

Displacement

UX=UY=UZ=0[m]

earth/Face

Electric

Electric wall

Voltage specified: Voltage 0[V]

hot/Face

Electric

Electric wall

Voltage specified: Voltage 1[V]

float1/Face

Electric

Electric wall

Floating electrode

float2/Face

Electric

Electric wall

Floating electrode

Results

The gradation contour of the displacement and potential (imaginary part) is shown below. The unit of the color scale is [V].

You can observe the expansion and contraction of the frame (metal) by the driving piezoelectric elements (piezo1 and piezo2).

The strain of expansion and contraction is generated on the detecting elements (piezo3 and peizo4) by the Coriolis force of the angular velocity. It has a 90-degree phase difference from the driving strain.

The potential difference is generated at the imaginary part of the floating electrodes depending on the angular velocity.