WOLFRAM SYSTEM MODELER
KOYO_N_209Roller bearing parameterized with values corresponding to KOYO N209 |
 |
Diagram
Wolfram Language
In[1]:=
SystemModel["RotatingMachinery.RollingBearings.RollerBearings.KOYO_N_209"]
Out[1]:=
Information
KOYO N 209
By following this procedure, it is possible to parametrize over 300 KOYO cylindrical roller bearings. This specific example is parameterized to model KOYO N 209.
Catalog Parameters
This example is taken from the KOYO Catalog [1], called KOYO N 209.
Figure 1: KOYO N 209 bearing catalog parameters.
As seen in the catalog above, it is not possible to find all corresponding parameters. The parameters that are not listed in the catalog can be found in the CAD file, KOYO Drawing.
Figure 2: KOYO N 209 CAD, diameter measurements.
Bearing inner ring wall outer diameter, d1, and outer diameter for roller can be measured from the CAD file, as seen above.
System Parameters
In the same catalog [2], the radial clearance limits are listed:
Figure 3: Radial internal clearance of KOYO N 209.
The axial clearance in the KOYO N 209 has been set to 0, since there is no clearance between the outer ring and rollers. This is simply an implementation decision. However, it is recommended to set the radial clearance to -0.001mm to make the simulations more robust. Without this setting, the simulations may generate numerous events as they try to determine whether or not contact is occurring.
Note that if you have a system where the bearing-related vibrations are not desired, these values can be set as even larger negative values. This type of adjustment enables you to have preloaded bearings. The axial clearance in KOYO N 209 has been set to 0, since its outer ring and rollers have no clearance in between.
Other Parameters
Finally, for the other parameters, you can look at the CAD file given on KOYO Drawing.
Figure 4: KOYO N 209 CAD, roller measurements.
The roller diameter (10mm), roller length(10mm), roller number(14) and wall width(4.50mm) can be measured from this CAD file.
References for Roller Bearing Parameter Values
[1] KOYO. Ball & Roller Bearings. "Cylindrical Roller Bearings." 1997: 118 (B46 in the PDF). https://www.fagbearing.cc/PDF-bearings/KOYO-Ball-Roller-Bearings-PDF.pdf.
[2] KOYO. Ball & Roller Bearings. "Cylindrical Roller Bearings." 1997: A90 in the PDF. https://www.fagbearing.cc/PDF-bearings/KOYO-Ball-Roller-Bearings-PDF.pdf.
Parameters (30)
| useOuterRingFlangeSupport |
Value: false Type: Boolean Description: Use the build in Fixed or connect to an external flange support |
|---|---|
| useShaftFlangeSupport |
Value: true Type: Boolean Description: Use if the rotating shaft (inner ring) is connected to an external component |
| d |
Value: 0.045 Type: Diameter (m) Description: Bearing inner (bore) diameter |
| D |
Value: 0.085 Type: Diameter (m) Description: Bearing outer diameter |
| B |
Value: 0.019 Type: Distance (m) Description: Bearing width |
| d1 |
Value: 0.059 Type: Diameter (m) Description: Bearing innerring wall outer diamter |
| D1 |
Value: 0.075 Type: Diameter (m) Description: Outer diameter for roller |
| F |
Value: 0.055 Type: Diameter (m) Description: Inner diameter for roller |
| s |
Value: 0.0015 Type: Length (m) Description: Cage clearance |
| clearance_z |
Value: 0 Type: Length (m) Description: Clearance in z direction |
| clearance_dr |
Value: -1e-06 Type: Length (m) Description: clearence in radial direction |
| dRoller |
Value: 0.01 Type: Diameter (m) Description: Roller diameter |
| dLength |
Value: 0.01 Type: Distance (m) Description: Roller length |
| wallWidth |
Value: 0.0045 Type: Distance (m) Description: Wall thickness of outer ring |
| numberOfRollers |
Value: 14 Type: Integer Description: Number of rollers |
| useShaftInitiated |
Value: false Type: Boolean Description: true = Shaft will be initiated. Set this to true at left side if no powersource is used |
| torsionalDampingConstant |
Value: 10 Type: RotationalDampingConstant (N⋅m⋅s/rad) Description: Damping constant |
| verticalDampingConstant |
Value: 10 Type: TranslationalDampingConstant (N⋅s/m) Description: Damping constant |
| horisontalDampingConstant |
Value: 10 Type: TranslationalDampingConstant (N⋅s/m) Description: Damping constant |
| outerRingDefect |
Value: false Type: Boolean Description: If an outer ring defect exists |
| addForceOuterRingDefectAmplitude |
Value: 0 Type: Force (N) Description: Size of outer ring defect. Used if outerRingDefect = true |
| axialPosition |
Value: 0 Type: Length (m) Description: Axial position in z direction (used if useOuterRingFlangeSupport = false) |
| horisontalPosition |
Value: 0 Type: Length (m) Description: Horisontal position in x direction (used if useOuterRingFlangeSupport = false) |
| verticalPosition |
Value: 0 Type: Length (m) Description: Vertical position in y direction (used if useOuterRingFlangeSupport = false) |
| animateOuterRing |
Value: false Type: Boolean Description: Animate outer ring |
| animateInnerRing |
Value: true Type: Boolean Description: Animate inner ring |
| animateCage |
Value: true Type: Boolean Description: Animate cage |
| animateRollers |
Value: true Type: Boolean Description: Animate rollers |
| animateRollerForce |
Value: true Type: Boolean Description: Animate roller forces |
| animateOuterRingForce |
Value: false Type: Boolean Description: Animate outer ring forces |
Connectors (3)
 |
frame_outer |
Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon) |
|---|---|---|
 |
frame_b |
Type: Frame_b Description: Coordinate system fixed to the component with one cut-force and cut-torque (non-filled rectangular icon) |
|
frame_a |
Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon) |
Components (7)
 |
rollerAssembly |
Type: RollerAssembly Description: Model of an assembly of rollers, containing RollerPart components |
|---|---|---|
 |
outerRing |
Type: OuterRing Description: Model of the outer ring of an SKF roller bearing |
 |
innerRing |
Type: InnerRing Description: Model of an inner ring of an SKF roller bearing |
 |
fixedRotation |
Type: FixedRotation Description: Fixed translation followed by a fixed rotation of frame_b with respect to frame_a |
 |
shaftInitiated |
Type: ShaftInitiated Description: The main purpose for this component is to initiate a shaft supported with rolling bearings |
 |
fixedOuter |
Type: Fixed Description: Frame fixed in the world frame at a given position |
 |
cage |
Type: Cage Description: Model of a cage to be used in roller bearings |
Used in Examples (1)
 |
RotatingMachinery.Examples.BearingAnalysis Two roller bearings' responses under a loaded shaft |