WOLFRAM SYSTEM MODELER
RollerBearingRoller bearing possible to parameterize with values corresponding |
SystemModel["RotatingMachinery.RollingBearings.RollerBearings.RollerBearing"]
Bearing Parameterization
Figure 1 shows a generic built-in roller bearing that can be parameterized to get any cylindrical roller bearing.
Figure 1: Generic cylindirical roller bearing [1].
The parameters to model the desired bearing are categorized as follows:
Below, an SKF NU 306 ECP bearing is used to show how to parameterize the model.
Note that the library also contains specific examples for the following manufacturers: SKF, NSK, KOYO, TIMKEN, and FAG.
Catalog Parameters
Catalog parameters are found in the bearing catalog from the respective manufacturer, in this case, the SKF Catalog[2].
Figure 2 shows the parameters for the NU 306 ECP bearing. These are the values that should be entered in the Catalog Parameters section of the Bearing Dimensions tab.
For some bearings, the catalog parameters may not be represented as the given configuration above. In such models, it is advised to use CAD files instead.
System Parameters
As shown in Figures 3 and 4, the radial and axial clearances are also listed in the catalog. However, in both cases, ranges are given, as they depend on the installation. Therefore, the chosen values should be set in the System Parameters section of the Bearing Dimensions tab.
Figure 3: Radial internal clearance of cylindrical bearings with a cylindrical bore (such as the NU 306 ECP).
The axial clearances are chosen from the axial internal clearance tables. Below, axial clearances for NUP cylindrical bearings are shown. To model the desired bearing, the corresponding table should be looked at.
Figure 4: Axial internal clearance for NUP cylindrical roller bearings (such as the NU 306 ECP).
For the axial clearance in the NU 306 ECP, it 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 in order 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.
Other Parameters
The parameters found in the Other Parameters section cannot be easily found in catalogs. Instead, different methods should be used, depending on the specific manufacturer.
For instance, in this example, a corresponding CAD file can be found on SKF website, see Figure 5.
The roller dimensions, roller number and wall width can be measured from this CAD file.
[1] SKF Group. SKF Catalog, Chapter 6.1. "Single Row Cylindrical Roller Bearings." 2018: 520. https://www.skf.com/binaries/pub12/Images/0901d196802809de-Rolling-bearings---17000_1-EN_tcm_12-121486.pdf.
[2] SKF Group. SKF Catalog, Chapter 6.1. "Single Row Cylindrical Roller Bearings." 2018: 518. https://www.skf.com/binaries/pub12/Images/0901d196802809de-Rolling-bearings---17000_1-EN_tcm_12-121486.pdf.
[3] SKF Group. SKF Catalog, Chapter 6.1. "Single Row Cylindrical Roller Bearings." 2018: 508. https://www.skf.com/binaries/pub12/Images/0901d196802809de-Rolling-bearings---17000_1-EN_tcm_12-121486.pdf.
useOuterRingFlangeSupport |
Value: false Type: Boolean Description: Use the build in Fixed or connect to an external flange support |
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useShaftFlangeSupport |
Value: true Type: Boolean Description: Use if the rotating shaft (inner ring) is connected to an external component |
d |
Value: Type: Diameter (m) Description: Bearing inner (bore) diameter |
D |
Value: Type: Diameter (m) Description: Bearing outer diameter |
B |
Value: Type: Distance (m) Description: Bearing width |
d1 |
Value: Type: Diameter (m) Description: Bearing innerring wall outer diamter |
D1 |
Value: Type: Diameter (m) Description: Outer diameter for roller |
F |
Value: Type: Diameter (m) Description: Inner diameter for roller |
s |
Value: 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: Type: Diameter (m) Description: Roller diameter |
dLength |
Value: Type: Distance (m) Description: Roller length |
wallWidth |
Value: Type: Distance (m) Description: Wall thickness of outer ring |
numberOfRollers |
Value: 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 |
frame_outer |
Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon) |
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frame_b |
Type: Frame_b Description: Coordinate system fixed to the component with one cut-force and cut-torque (non-filled rectangular icon) |
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frame_a |
Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon) |
rollerAssembly |
Type: RollerAssembly Description: Model of an assembly of rollers, containing RollerPart components |
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outerRing |
Type: OuterRing Description: Model of the outer ring of an SKF roller bearing |
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innerRing |
Type: InnerRing Description: Model of an inner ring of an SKF roller bearing |
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fixedRotation |
Type: FixedRotation Description: Fixed translation followed by a fixed rotation of frame_b with respect to frame_a |
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shaftInitiated |
Type: ShaftInitiated Description: The main purpose for this component is to initiate a shaft supported with rolling bearings |
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fixedOuter |
Type: Fixed Description: Frame fixed in the world frame at a given position |
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cage |
Type: Cage Description: Model of a cage to be used in roller bearings |
RotatingMachinery.RollingBearings.RollerBearings Roller bearing parameterized with values corresponding to FAG N1914KSP |
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RotatingMachinery.RollingBearings.RollerBearings Roller bearing parameterized with values corresponding to TIMKEN NU313EJ |
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RotatingMachinery.RollingBearings.RollerBearings Roller bearing parameterized with values corresponding to KOYO N209 |
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RotatingMachinery.RollingBearings.RollerBearings Roller bearing parameterized with values corresponding to NSK NU 207 EW |
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RotatingMachinery.RollingBearings.RollerBearings Roller bearing parameterized with values corresponding to SKF NU_306_ECP |