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2D-Cam > Roller Life tab


Notes

The Follower-Roller bearing you select in this tab controls (overwrites) the Radius dimension of the Follower-Roller in your model.

Before we can calculate the Roller Life, you must:

Add a radius dimension to the sketch of the Follower-Roller bearing.

Make sure a 2D-Cam or a Conjugate Cam FB is the power-source for the Follower-Part - see Configure Power Source

Other names for a Follower-Roller bearing are: Track-Roller, Track-Follower, Cam-Follower, ... .


To Calculate the Roller Life, you must:

In the Parameters tab

In the Parameters tab > Enable Lifetime, Edit Safety Factor 

STEP 1:Enable Show Roller and Cam Life

STEP 2:Enter a Safety Factor (CAM)

Note: The Safety-Factor we apply to the Follower-Roller is equal to the square of the Safety-Factor (Cam).

For example: If Safety Factor (Cam) = 1.1, then the Safety-Factor (Follower-Roller) = 1.21.


Top-Tip

Begin the Roller Life and Cam-Life analysis with a Safety-Factor = 1 . This will help you to understand the results in the Cam-Life and Roller Life tabs. Then edit the Safety-Factor to a value.

In the Roller Life tab

STEP 1: Select a Follower Roller bearing manufacturer

STEP 2: Select a Part-Number for a Follower-Roller bearing

EITHER to calculate the “Basic Rating Life”

STEP 3a: CLEAR the Enable ISO 281 Modification Factors check-box

STEP 4a: Analyze the Basic-Rating Life,

In the  Lifetime for Roller  separator:

Analyze the Lifetime results for the Follower-Roller bearing.

The results do not use the Reliability Modification Factor, , or the Systems-Approach Modification Factor, .

OR - to calculate the “Modified Rating Life”

STEP 3b: CHECK the Enable ISO 281 Modification Factors check-box

STEP 4b:Enter the ISO 281 Modification Factors

In the ISO 281 Parameters separator

1.Select a Reliability Factor

Enter the Temperature and Viscosity Parameters

2.Oil Operating Temperature

3.Oil Temperature T1 and Viscosity at T1

4.Oil Temperature T2 and Viscosity at T2


Note: The Viscosity at two Temperatures are usually on the Oil's data-sheet.


5.Select the Lubrication Type

6.Select the Contamination Level

STEP 5b: Analyze the Modified-Rating Life ,

In the  Lifetime for Roller  separator:

Analyze the Lifetime results for the Follower-Roller bearing.

The results do use the Reliability Modification Factor, , or the Systems-Approach Modification Factor, .


Roller Life

STEP 1:Select a Roller bearing manufacturer.

STEP 2: Select a Roller bearing from the table Red-14-4

Note: Click a Header at the top of the table to sort by that Header. For example, click OD to sort by Outside-Diameter.


1.Click a Part-Number in the table Red-14-4

We copy the Part-Number you click to the box above Red-14-3.

We also move the Part-Number you select to the top of the table.Red-14-2

MD-DIALOG-2DCAM-ROLLERLIFE-ROLLERBEARING

When you select a Follower-Roller Part-Number, we may change your model.

If the Circle sketch-element that represents the Follower-Roller bearing in your model has a Radius dimension, then automatically :

A.We edit radius dimension to the radius of the Follower-Roller bearing that you select in this dialog.

B.We add the Part-NumberRed-14-3 of the Follower-Roller bearing to the Radius dimension - see image below

C.We change the state of the Radius dimension of the Circle to read-only.

D.We prevent you from deleting the Radius dimension

Cam-Follower Radius & Follower-Roller Part- Number

Cam-Follower Radius
& Follower-Roller Part- Number

To change the Radius dimension for the Follower-Roller:

Select a different Part-Number for the Follower-Roller bearing in the table

To manually edit (or delete) the Radius dimension:

Clear the "Show Roller and Cam Lifetimes" check-box (in the 2D-Cam > Parameters tab), and then edit (or delete) the Radius dimension with the Part-Editor.

EITHER - to calculate the Basic Rating Life

STEP 3a:ISO 281 check-box

CLEAR the Enable ISO 281 Modification Factors check-box

STEP 4a:Analyze the Basic Rating Life,  

In the  Lifetime for Roller  separator:

Analyze the Basic Rating Life results for the Follower-Roller bearing.

The results do not use the Reliability Modification Factor, , or the Systems-Approach Modification Factor, .

See more - Lifetime for Roller Results

or - to calculate the Modified Rating Life

STEP 3b:ISO 281 check-box

CHECK the Enable ISO 281 Modification Factors check-box

STEP 4b: Enter the ISO 281 Modification Factors

ISO 281 Modification Factors Check-box and Parameters

ISO 281 Modification Factors
Check-box and Parameters

We calculate for you the and modification factors as you enter the parameters.

1r Reliability Factor (a1)

The bearing's modified life is one in which there is a 90% reliability that the bearing survives the “modified” number of rotations, if manufactured with commonly used high quality material, of good manufacturing quality, and operating under conventional conditions.

The Reliability Modification Factor when the reliability is 90%.

To apply a different percentage to the reliability of reaching the modified number of rotations:

Use the drop-down to select a percentage.

The Reliability Factors in the drop-down list (90 to 99.95%) are those recommended in ISO 281.

or

Enter a percentage.

In this case, we find for you a Reliability Factor near to those that are recommended in ISO 281.


2r Operating Viscosity

The viscosity of the oil, or base-oil in a grease, at the operating temperature is function of the Viscosity Grade and Viscosity Index of the oil.

We calculate for you the viscosity of the oil at the operating temperature

Enter these five parameters:

Oil Operating Temperature . You may know the oil's operating temperature from experience or from tests.

Then for the oil

Temperature - usually 40ºC

Viscosity at Temperature                  

Temperature - - usually 100ºC

Viscosity at Temperature

Rules:

and


Notes:

Lubricating Oil and Grease datasheets usually provide the Viscosity at and at .

If you know the ISO Viscosity Grade of the oil, then yo: and


3r Lubrication Type

Select one of these lubrication methods:

Oil Filtered On-Line: Circulating oil lubrication with the oil filtered on-line before being supplied to the bearings

Oil Filtered Off-line: Oil bath lubrication, or circulating oil lubrication with off-line filters (or without filtration)

Grease


ISO 281 does not consider Oil-Mist Lubrication.


4r Contamination Factors for each Lubrication-Type

Oil Filtered On-Line

Select the Filtration Ratio, , from the drop-down list box,

The operating, or actual, Filtration-Ratio of the oil should be as good, and if not better, than the Filtration-Ratio you select.

- the particle size of the contamination, calibrated to ISO 11171

- filtration ratio at contamination particle size

The designation (c) signifies that the particle counters — of particles of size — shall be APC (automatic optical single-particle counter) calibrated to ISO 11171.

Also, the oil system shall have cleanliness within the range indicated by the cleanliness code according to ISO 4406.

Filtration Ratio and Filtration Code

; ISO 4406 Code: -/13/10

; ISO 4406 Code: -/15/12

; ISO 4406 Code: -/17/14

; ISO 4406 Code: -/19/16

Oil Filtered Off-Line

Select the Cleanliness Codes from the drop-down list box that represents the anticipated operating conditions, according to ISO 4406.

Filtration Code

ISO 4406 Code; -/13/10

ISO 4406 Code; -/15/12

ISO 4406 Code; -/17/14

ISO 4406 Code; -/19/16

ISO 4406 Code; -/21/18

Grease

Select the Level of Contamination from the drop-down list box that best represents the operating conditions.

Level of contamination

Operating Conditions

High cleanliness

Clean assembly with careful flushing; good sealing in relation to operating conditions; re-greasing carried out continuously or at short intervals

Bearings, greased for life with effective sealing capacity in relation to operating conditions - for example, sealed bearings

Normal cleanliness

Clean assembly with flushing; good sealing in relation to operating conditions; re-greasing according to manufacturer’s specification

Bearings, greased for life with proper sealing capacity in relation to the operating conditions - for example, shielded bearings

Slight to typical contamination

Clean assembly; moderate sealing capacity in relation to operating conditions; re-greasing according to manufacturer’s specifications

Severe contamination

Assembly in workshop; bearing and application not adequately washed after mounting; poor sealing capacity in relation to operating conditions; re-greasing intervals longer than recommended by manufacturer

Very severe contamination

Assembly in contaminated environment; inadequate sealing; long re-greasing intervals

STEP 5b:Analyze the Modified Rating Life,  

In the  Lifetime for Roller  separator:

Analyze the Lifetime results for the Follower-Roller bearing.

The results apply the Reliability, , and the Systems-Approach, , Modification Factors.

See more - Lifetime for Roller Results

Roller Lifetime RESULTS

Basic Rating Life,

states that ...

... if the bearing load, , is equal to the Basic Dynamic Load Rating, , then there is a 90% reliability that the bearing survives 1 million rotations, if manufactured with commonly used high quality material, of good manufacturing quality, and operating under conventional conditions.

 Roller Life :  Bearing P/N   

Basic Life for the seleced Roller bearing

Basic Life for the seleced Roller bearing

Equivalent Load

Because the Contact-Force and the Roller speed are continually changing, we must calculate an Equivalent Load.


Roller Rev Count

The number of times the Follower-Roller rotates for each machine-cycle and cam rotation.


Millions of Follower Rotations


Machine Operation in Hours

We also calculate the Roller Life in “hours”.

Basic Rating Life (Hours)


Machine Operation in Years

We also calculate the Roller Life in “years”. One year is 8760 hours (24hours, 365 days).

Basic Rating Life (Years)

Basic Load Rating (at 90% reliability) (millions of follower revolutions)

Basic Load Rating (at 90% reliability) (operating hours)

Basic Load Rating (at 90% reliability) (operating years)

Basic dynamic load rating (kN) of the Roller bearing

Equivalent dynamic bearing load ( kN )

The contact load between the Roller and Cam usually continuously changes as the Cam rotates. Thus, we calculate for you an equivalent load.

Roller rotating speed (RPM)

The rotating speed of a Roller continuously changes as the Cam rotates. Thus, to calculate the life in hours or years, we use its mean speed.

Exponent of the life equation

= 3 for ball bearings

=10/3 for roller bearings

Modified Rating Life,

We calculate for you the Modified Rating Life when you enable ISO 281 Modification Factors.

 Roller Life :  Bearing P/N   

Modified Life for the selected Rollerbearing

Modified Life for the selected Rollerbearing

Equivalent Load,

Because the Contact-Force and the Roller speed are continually changing, we must calculate an Equivalent Load.

Also, there are factors that continually change the value of . Thus we subsume into the calculation for Equivalent Load, .


Follower Roller Rev Count

The number of times the Follower-Roller rotates for each machine-cycle and cam rotation.


Millions of Follower Rotations ,

In catalogs, you will usually see this equation:

However, because the rotational speed, , the load, , and the modification-factor, , are not constant, we subsume them into an equivalent load, .

 

 


Machine Operation in Hours

We also calculate the Roller life in hours.

Modified Rating Life (Hours)


Machine Operation in Years

We also calculate the Roller-Life in years.

One year is 8760 hours (24 hours, 365 days).

Modified Rating Life (Years)

Basic Life Rating at 90% reliability) (millions of revolutions)

Modified Life Rating in millions of revolutions ()

Modified Life Rating in operating hours ()

Modified Life Rating in operating years  ()

Life modification factor for Reliability - see below

Life modification factor for Systems Approach - see below

Basic dynamic load rating (kN) of the Roller bearing

Equivalent dynamic load with subsumed ( kN )

The contact force and continuously change as the Cam rotates. Thus, we calculate for you an equivalent load.

Mean roller rotating speed

The rotating speed of a Roller continuously changes as the Cam rotates. Thus, to calculate the life of the Roller in hours or years, we use its mean speed.

Exponent of the life equation

= 3 for ball bearings

=10/3 for roller bearings

Notes on the Roller Lifetime Results

Actual Operating Life

The actual operating life is the life achieved by the bearing operating in its actual environment, which may differ significantly from the life we calculate.

It is not possible to calculate the actual operating life, as there is a range of possible installation and operating conditions. One method to estimate the operating life is to compare the installation and operating conditions with similar applications.

Possible factors that influence the Operating Life

deviating operating data

misalignment between the shaft and housing

insufficient or excessive operating clearance

contamination

insufficient lubrication

excessive operating temperature

oscillating bearing movement with small swivel angles

high vibration and false brinelling

high shock loads (static overloading)

damage to the bearing when it is installed


Bearing Life Modification Factors

Life Modification Factors for Reliability,

Life Modification Factor: a System Approach,

The Life Modification factor,, is a complex interaction between Oil or Grease Viscosity Grade, Filtration, Contamination, Oil Operating Temperature, the Fatigue load capacity of the Roller, the rotational-speed of the Roller, and the diameter of the Roller.

The equations given in ISO 281 to calculate these factors are empirical, complex, and interrelated. All of the factors, except , are a function of the bearing speed and bearing load. In a cam mechanism, the speed and load on the roller continually change. Therefore, we calculate for you the factors at each step and integrate them to find their equivalent values.

Life modification factor, using a systems approach

Fatigue Limit of Bearing (N)

Dynamic Load (N)

Viscosity Ratio (-)

Contamination Factor (-)

Fatigue Limit of Bearing, ()

ISO 281 defines the fatigue load, , for a bearing as the load below which metal fatigue does not occur.

With poor lubrication, or contamination of the lubricant, the bearing can fatigue at loads which are significantly below the fatigue limit,.

For the fatigue limit to be a valid value, the lubricant film must fully separate the rolling elements from the raceways and that dents from contaminants from handling do not exist on the rolling surfaces.

The contamination factor, takes into account how the level of solid particle contamination of the lubricant influences the calculated bearing fatigue life. The particles cause indentations in the rolling surfaces of the bearing, and these indentations increase the local contact stress, which reduces the expected fatigue life.

means perfectly clean conditions without any indentations.

means severely contaminated conditions resulting in pronounced indentations.

In the SKF rating life model, contamination, designated by the contamination factor, , acts as a stress raiser, thereby reducing the fatigue load limit to .

We then compare the reduced fatigue load limit, , to the actual bearing load, , to give a fatigue resistance value of

Conditions that are clean and a load that is less than the fatigue load limit give a high fatigue resistance value.

Conditions that are contaminated and a load that is more than the fatigue load limit give a low fatigue resistance value.

The stress-raising influence of contamination on fatigue depends on a number of parameters, including: bearing size, relative lubricant condition, size and distribution of solid contaminant particles, and types of contaminants (soft, hard, etc.). Therefore, it is not meaningful to enter a value for the contamination factor that has general validity.


If a catalog does not list the Fatigue Load Limit, and the mean bearing diameter is less than . (nearly all Follower-Roller Bearings are less than ), then we use this approximation:

Roller and needle bearings, with a Mean Diameter < 100mm.

Ball bearings, with a Mean Diameter < 100mm

Mean Diameter = (Outside Diameter + Inside Diameter) / 2

Viscosity Ratio,

The Viscosity Ratio, , indicates the quality of the lubricant film formation.

The lubricant-film separates the raceway and rolling-elements. The Viscosity Ratio, , is expressed as:

Reference Kinematic Viscosity - a function of the bearing's diameter and its rotating speed.

Kinematic Viscosity at operating temperature - function of oil viscosity grade and temperature.

Notes:

A Viscosity-Ratio < 0.1 is outside of the limits of ISO 281. It is near to metal-to-metal contact.

A Viscosity-Ratio - 4 is the maximum. ISO 281 states that Viscosity-Ratio = 4 if you calculate it to be greater than 4.

A Viscosity-Ratio < 0.1 is the outside the scope of ISO 281.

A Viscosity-Ratio > 4 is getting too high for bearings. The needles or balls may slide and refuse to roll in the 'thick-oil', or the shearing of the oil may churn and increase the oil and bearing temperatures.

A Viscosity-Ratio in the range of is approximately ideal.


Other Notes

Note 1: Viscosity Ratio, , assumes that surface finish is for good quality Follower-Roller bearings.

Note 2: An approximate relationship between Film Thickness Ratio and Viscosity Ratio, , is:

 

Film Thickness Ratio - the ratio of the actual film thickness to the composite roughness of the rolling elements and raceway surfaces*. This ratio must assume a “standard” surface finish the raceways and rolling elements.

Minimum film thickness

RMS Roughness of the Rolling-Elements, or Rolling-Raceways.

Reference Kinematic Viscosity,

The Reference Kinematic-Viscosity, (sometimes called the Rated, or Required Viscosity) is the viscosity that is required to separate the surfaces of the rolling elements and races in the Follower-Roller bearing..

It assumes that the oil is a mineral oil, with a Viscosity-Index of approximately 100.

ISO 281 allows Synthetic oils.

if

if

 

 

- inside diameter of Follower-Roller

- outside diameter of Follower-Roller

Kinematic Viscosity at operating temperature,

Contamination Factor,

If a contaminant particle moves to the inside of a bearing, the rollers (or balls), outer-race, and inner-race are prone to dent because of the small internal bearing clearances and the small rolling radii of the rollers (or balls). An indent leads to localized stress, which will decrease the life of the bearing.

The contamination may even prevent the rollers (or balls) rotating.

The contamination factors that reduce the lifetime of a Follower-Roller bearing are a function of the:

diameter of the Follower-Roller

lubricant film thickness (viscosity ratio, )

size, type, and hardness of the particle contaminant.

Guide values for the contamination factor are in the table below. They are typical levels of contamination for well lubricated bearings.

Contamination and Lubrication Method.

We can find for you the contamination factors with these lubrication methods:

Circulating oil lubrication with the oil filtered on-line before it is supplied to the bearings.

Oil bath lubrication or circulating oil lubrication with off-line filters.

Grease lubrication.

Circulating oil lubrication with On-Line Filtration, before being supplied to the bearings.

In order to achieve the calculated bearing rating life, the bearings must be operated both from the beginning and after oil changes under the assumed conditions. It is therefore important to clean the bearings and the application thoroughly before mounting. It is also important to filter the oil before it is introduced into the system. The filter used for this purpose should be at least as effective as the filter in the system itself.

For recirculating oil lubrication with continuous oil filtration, the contamination factor, can be determined by means of equations (or diagrams). The diagram or equation to be used is selected on the basis of the filter retention rate βx(c) according to ISO 16889 and the oil cleanliness code according to ISO 4406. The index (c) is the (automatically counted) particle size in according to ISO 1171.

Oil bath Lubrication, or Recirculating Oil Lubrication, with Off-Line Filtration.

For oil bath lubrication or recirculating oil lubrication with offline filtration, the contamination factor, , can be determined by means of equations or diagrams. You base which diagram you select on the oil cleanliness code. according to ISO 4406.

The filtration ratio , with particle size in according to ISO 16889[6], is the most influencing factor. The contamination level corresponds mainly to the condition of the oil before it passes the on-line filter.

NOTE

Research concludes that it is difficult to accurately find the oil cleanliness especially if you analyze very clean oils. It is easy to pollute an oil-sample, with oil additives that precipitate into the oil and particle calculation.

Grease Lubrication, Contamination Factors

It is much easier to seal a bearing that is lubricated with a grease than seal a machine that is lubricated with an oil. It is easier to design the machine.

With grease-lubricated Follower-Roller bearings, we differentiate between bearings:

that you (or the OEM) lubricate one time for the lifetime of the bearings

that you must re-lubricate.

In general terms lifetime lubrication does not depend on the bearing but on the requirements of the particular application.

For grease lubrication, you must estimate the Contamination Level from the descriptions below.

Step 1: Consider the potential contamination from the application. For example, is the Follower-Roller running in an open cam-track near to the stack of case-blanks in a Case-Packer? If yes, I would use the Severe Contamination.

Step 2: Find the Viscosity Ratio, - see above

Step 3: Find mean diameter, - see above

Step 4: Calculate the level of Contamination,

The contamination level can be very low with open, small bearings. Therefore, you should at least purchase Shielded Follower-Roller bearings if the diameter is less than 40mm.

Simplified Values of Oil Contamination Factor ,

Contamination Level

Extremely high cleanliness:

Particle size less than lubricant film thickness, laboratory conditions

1

1

High Cleanliness:

Oil filtered with extremely fine filter


Equivalent to bearing greased for life with good seals.

Very clean mounting with careful flushing, Continuous re-lubrication

0.8 to 0.6

0.9 to 0.8

Normal Cleanliness:

Oil filtered with fine filter.

Equivalent to bearing greased for life and shielded

0.6 to 0.5

0.8 to 0.6

Slight Contamination:

Oil is slightly contaminated.

0.5 to 0.3

0.6 to 0.4

Typical Contamination:

Conditions typical of bearings without integral seals, course filtering, wear particles and ingress from surroundings

0.3 to 0.1

0.4 to 0.2

Severe Contamination:

Bearing Environment heavily contaminated, Bearing inadequately sealed

0.1 to 0

0.1 to 0

Very high or Extremely high contamination

0

0

Contamination Level for Grease Lubrication

High Cleanliness:

Very clean assembly, careful flushing; very good sealing system relative to the operating conditions; re-greasing is continuous or at short intervals

Sealed bearings that are greased for life, with appropriate sealing capacity for the operating conditions.

Normal Cleanliness:

Clean assembly; good sealing system relative to the operating conditions; re-greasing according to manufacturer’s specifications

Shielded bearings, greased for life with proper sealing capacity for the operating conditions,

Slight to Typical Contamination:

Clean assembly; moderate sealing capacity relative to the operating conditions; Re-greasing according to manufacturer’s specifications

Severe Contamination:

Assembly in workshop; bearing and application not adequately washed prior to mounting; ineffective seal relative to the operating conditions; re-greasing intervals longer than recommended by manufacturer

Very Severe Contamination

Assembly in contaminated environment; inadequate sealing system; too long re-greasing

intervals

Contamination Levels for Oil, ISO 4406

The table below gives Scale Numbers as a function of Particle Contamination (particles/ml) - it is from ISO 4406

A three number code defines the amount of contamination for three particle sizes: 4, 6, and 14 μm. Each time a Scale Number increases by 1, the quantity of particles is doubled for a particular particle size.

Example: ISO code = 21 / 19 / 17

This Contamination Class describes a fluid containing:

between 10,000 and 20 ,000 particles of ≥ 4 μm(c) per 1 ml sample

between 2,500 and 5 ,000 particles of ≥ 6 μm(c) per 1 ml sample

between 640 and 1 300 particles of ≥ 14 μm(c) per 1 ml sample

If the leading number is missing, then that size of particle is not counted.

Scale Number

More than

Up to

28

1,300,000

2,500,000

27

640,000

1,300,000

26

320,000

640,000

25

160,000

320,000

24

80,000

160,000

23

40,000

80,000

22

20,000

40,000

21

10,000

20,000

20

5,000

10,000

19

2,500

5,000

18

1,300

2,500

17

640

1,300

16

320

640

15

160

320

14

80

160

13

40

80

12

20

40

11

10

20

10

4

10

9

2.5

4

8

1.3

2.5

7

0.64

1.3

6

0.32

0.64

5

0.16

0.32

4

0.08

0.16

3

0.04

0.08

2

0.02

0.04

1

0.01

0.02

0

0

0.01