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

Example 16: Harmonic Analysis of Standing Bars


General

 

Analysis Space

Item

Settings

Analysis Space

3D

Model Unit

mm

 

Analysis Conditions

The analysis type is the harmonic analysis.

Item

Settings

Solver

Stress Analysis [Galileo]

Analysis Type

Harmonic Analysis

Options

N/A

 

The resonant frequencies of each tower are 1250 [Hz] and 1650 [Hz], which are acquired by 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 Division Number: Division 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.