Example13 Resonance of Tuning Fork

General

  • The resonance of a tuning fork is analyzed.
     

  • The deformation, the displacement and the mechanical stress are solved.
     

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

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

m

 

Analysis Conditions

The analysis type is the harmonic analysis.

Item

Settings

Solvers

Mechanical Stress Analysis [Galileo]

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

6

Approximated frequency

0[Hz]

Model

A tuning fork is created by combining cylindrical and rectangular solid bodies with boolean.

 

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

8/Solid

RESONANT

001_Al *

* Available from the Material DB

Boundary Conditions

N/A

Results

The following will be output on the output window or the log file.

<<Eigenvalue analysis>>

Eigenvalue (resonant frequency):[Hz]

Mode[ 0] = 5.06139730e+002

Mode[ 1] = 7.76589632e+002

Mode[ 2] = 1.58726071e+003

Mode[ 3] = 1.92468740e+003

Mode[ 4] = 3.15995476e+003

Mode[ 5] = 4.14822255e+003

 

The resonant frequencies can be checked on Table.

 

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

 

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

 

Mode[0] and Mode[1] exhibit completely different resonance.