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Home / Examples / Stress Analysis [Galileo] / Example 16: Harmonic Analysis of Standing Bars

Example 16: Harmonic Analysis of Standing Bars


General

  • Forced oscillation is applied on two standing bars with different heights. The frequency of the forced oscillation affects the vibration.
     

  • The resulting vibrations are analyzed.

  • Refer to Example 75: Transient Analysis of Standing Bars for the result of the transient analysis.
     

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

  • The oscillation amplitude near the resonant frequency depends on the mechanical loss. Adjust the mechanical loss if needed. (See Example 50)
     

  • Obtain this session's project file. (Right-click and choose 'Save link as')


  • Results will vary depending on Femtet version and the PC environment.

 

Analysis Space

Item

Settings

Analysis Space

3D

Model Unit

mm

 

Analysis Conditions

The analysis type is harmonic analysis.

Item

Settings

Solver

Stress Analysis [Galileo]

Analysis Type

Harmonic Analysis

Options

N/A

 

The resonant frequencies of the respective towers are 1250 Hz and 1650 Hz, which are acquired through individual analyses.

Therefore, the sweep range is around those frequencies.

The harmonic analysis is set as follows.

Tab

Setting Item

Settings

Harmonic analysis

Frequency

Minimum: 1000 [Hz]

Maximum: 2000 [Hz]

Sweep Type

Linear Step by Number of Divisions: Number of Divisions 20

Model

Two bars (TOWER) are standing on a plate (GROUND).

As a boundary condition, the displacement boundary condition (VIBE_Y) is set to the face topology
of the bottom face of GROUND to force the displacement in the Y direction.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

TOWER

001_Al *

1/Solid

TOWER

001_Al *

2/Solid

GROUND

001_Al *

* Available from the material DB

 

Boundary Conditions

To make the forced vibration, the displacement is set on the bottom face
of GROUND in the Y direction and the displacement in X and Z directions are fixed.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

VIBE_Y/Face

Mechanical

Displacement

Select all X/Y/Z components.

UX=UX=0.0, UY=1×10-3 [m]

This means the magnitude of Y displacement is 1[mm].

Results

The displacement diagrams are shown below. The oscillation frequencies are 1000 [Hz], 1250 [Hz], 1450 [Hz], 1600 [Hz], and 2000 [Hz], respectively.

The contour diagram shows the magnitude of displacement.

1000 [Hz]

1250 [Hz]

1450 [Hz]

1600 [Hz]

2000 [Hz]

 

The displacement is high at the resonant frequencies: 1250 [Hz] and 1600 [Hz]. (Watch out for the maximum value of color scales)

 

The phases of each tower at the intermediate frequency between the two resonant frequencies are inversely related.