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WOLFRAM SYSTEM MODELER

Cage

Model of a cage to be used in roller bearings

Diagram

Wolfram Language

In[1]:=

SystemModel["RotatingMachinery.RollingBearings.Parts.Cage"]

Out[1]:=

Information

Bearing cage

This class uses conditional components to specify how many cage parts should be used in the bearing model (maximum of 32). There is no contact force modeled between the cage and the bearings in this model, meaning that it is mostly used for animation purposes.

Cages have an appreciable influence on the suitability of rolling bearings. Their main purposes are

keeping the rolling elements at an appropriate distance from each other and preventing direct contact between neighboring rolling elements, in order to keep friction and thus heat generation at a minimum

keeping the rolling elements evenly distributed around the complete circumference to provide even load distribution and quiet and uniform running

guiding the rolling elements in the unloaded zone, to improve the rolling conditions in the bearing and to prevent damaging sliding movements

retaining the rolling elements, where bearings are of a separable design and one bearing ring is removed during mounting or dismounting

Cages are mechanically stressed by frictional, strain and inertia forces and they may also be subjected to the chemical action of certain lubricants, lubricant additives or products of their aging, organic solvents or coolants. Therefore, the design and material are of paramount importance for the performance of the cage as well as for the operational reliability of the bearing itself. This is the reason why SKF has developed various cage types and designs of different materials for the different bearing types.

In general, the cages for SKF rolling bearings can be classified as pressed, solid or pin-type cages.

Following is a graphic showing how the cage dimensions are calculated. B is the bearing width.

Figure 1: Bearing cage.

Parameters (13)

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: Distance (m) Description: Cage clearance
dRoller	Value: Type: Diameter (m) Description: Roller diameter
dLength	Value: Type: Distance (m) Description: Roller Length
wallWidth	Value: Type: Distance (m) Description: wall Width
numberOfRollers	Value: Type: Integer Description: Number of rollers
ftf	Value: F / (2 * F + 2 * dRoller) Type: Real Description: Cage defect frequency (FTF)
animateCage	Value: true Type: Boolean Description: Animate cage

Connectors (2)

	frame_a	Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon)
	frame_b	Type: Frame_a Description: Coordinate system fixed to the component with one cut-force and cut-torque (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)

frame_b

Type: Frame_a

Description: Coordinate system fixed to the component with one cut-force and cut-torque (filled rectangular icon)

Components (42)

	bodyCylinder3	Type: BodyCylinder Description: Rigid body with cylinder shape. Mass and animation properties are computed from cylinder data and density (12 potential states)
	fixedTranslation	Type: FixedTranslation Description: Fixed translation of frame_b with respect to frame_a
	cagePart	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart1	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart2	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart3	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart4	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart5	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart6	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart7	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart8	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart9	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart10	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart11	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart12	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart13	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart14	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart15	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart16	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart17	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart18	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart19	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart20	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart21	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart22	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart23	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart24	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart25	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart26	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart27	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart28	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart29	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart30	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	cagePart31	Type: CagePart Description: Model of a part of a cage, used in the Cage model
	fixedTranslation1	Type: FixedTranslation Description: Fixed translation of frame_b with respect to frame_a
	bodyCylinder4	Type: BodyCylinder Description: Rigid body with cylinder shape. Mass and animation properties are computed from cylinder data and density (12 potential states)
	idealGear	Type: IdealGear Description: Ideal gear without inertia
	absoluteAngularVelocityShaft	Type: AbsoluteAngularVelocity Description: Measure absolute angular velocity of frame connector
	speed	Type: Speed Description: Forced movement of a flange according to a reference angular velocity signal
	revolute1	Type: Revolute Description: Revolute joint (1 rotational degree-of-freedom, 2 potential states, optional axis flange)
	absoluteAngularVelocityCage	Type: AbsoluteAngularVelocity Description: Measure absolute angular velocity of frame connector
	world	Type: World Description: World coordinate system + gravity field + default animation definition

Used in Components (1)

RollerBearing

RotatingMachinery.RollingBearings.RollerBearings

Roller bearing possible to parameterize with values corresponding