WOLFRAM SYSTEM MODELER

FrequencyAnalysis

Frequency analysis of a bearing defect on a simple shaft mounted on a structure

Diagram

Wolfram Language

In[1]:=
SystemModel["RotatingMachinery.Examples.BearingAnalysis.FrequencyAnalysis"]
Out[1]:=

Information

Frequency Analysis of Bearing Defect

This example teaches how to use frequency analysis to inspect a bearing condition.

Bearing failure is a common cause of machine failure, and the condition of bearings is monitored to predict and plan for replacements.

Bearing defect frequencies are provided by manufacturers and are often available on their websites. An SKF NU 306 ECJ bearing is used in this example. Fault frequencies are found on the manufacturer's website, [1]. So, for a rotation speed of 600 RPM, an outer ring defect results in a frequency of 4.719 x 600 RPM = 47.2 Hz.

Figure 1: FFT of shaft vibrations.

The frequency characteristics of vibrations on the system can be observed using the FFT tool. When the motion of the shaft (dispSensor.frame_b.r0[2]) is analyzed, it gives 47.2 Hz and some multiple of that frequency. The peaks are very clearly seen in Figure 1.

More about the bearing frequency analysis can be found in this blog post.

References

[1]  SKF. "SKF Bearing Frequencies." https://www.skfbearingselect.com/#/size-lubrication/single-bearing

Parameters (4)

m

Value: 0.005

Type: Length (m)

Description: Gear module

z1

Value: 40

Type: Integer

Description: Number of teeth in wheel one

x1

Value: 0

Type: Real

Description: Profile shift for gear wheel one

InitialRotationWheel1

Value: 90 - 360 / z1 * floor(90 / 360 * z1)

Type: Angle_deg (°)

Description: Gear wheel initial angle of rotation shaft 1

Components (10)

world

Type: World

Description: World coordinate system + gravity field + default animation definition

shaftRight

Type: CylindricalBeam

Description: Class with a flexible cylindrical beam

shaftLeft

Type: CylindricalBeam

Description: Class with a flexible cylindrical beam

powerSource

Type: Motor

Description: Class for applying a torque to generate a desired angular velocity

bearingLeft

Type: SKF_NU_306_ECP

Description: Roller bearing parameterized with values corresponding to SKF NU_306_ECP

bearingRight

Type: SKF_NU_306_ECP

Description: Roller bearing parameterized with values corresponding to SKF NU_306_ECP

gear

Type: SpurGear

Description: Spur gear with mass, rotations and visualization

dispSensor

Type: AbsoluteSensor

Description: Measure absolute kinematic quantities of frame connector

pinned

Type: PinnedDriveEnd

Description: Component that can act as a pinned drive end to a beam, containing different options

pinnedAxialfree

Type: PinnedNonDriveEnd

Description: Component that can act as a pinned non-drive end to a beam, containing different options