troubleshooting rolling element bearing problems
TRANSCRIPT
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
1/24
1
Troubleshooting Rolling Element Bearing Problems
Introduction to Bearing Failures
Troubleshooting rolling element bearing problems and determining their root
cause of failure is often difficult, because many failure types look very similar. This is
because bearing failures are almost always precipitated by spalling or flaking conditions
of the bearing component surfaces.
Spalling occurs when a bearing has reached its fatigue life limit, but also when
premature failures occur. For this reason, it is important for the troubleshooter to beaware of and able to recognize, all of the common failures of rolling element bearings.
This ability to correctly troubleshoot and recognize the root cause of bearing
problems will lead the analyst to the right conclusions with regard to the bearing failure.
How many times have we heard the comment, even by knowledgeable and well
meaning engineers and technicians, this bearing failed prematurely, because it was
defective. Manufacturing defects in rolling element bearings make up less than one
percent of the millions of bearings in use today around the world and this small defect
percentage is being reduced continually by improvements in manufacturing techniques
and bearing materials.
Bearing manufacturers use ultrasonic inspection devices to detect surface and
subsurface bearing material defects, eliminating poor quality products during the
production process. Eddy current testing is used to evaluate surface hardness and detect
cracks to ensure 100% product conformance to bearing specifications.
Only a small fraction of all the bearings in use fail because they have reached
their material fatigue limit. The vast majority of bearings outlive the machinery or
component in which they are installed. The first question which must be answered
therefore is, what constitutes bearing fatigue life limits?
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
2/24
2
What Is Bearing Life Expectancy?
Rolling element bearing life expectancy is directly related to the number of
revolutions performed by the bearing, the magnitude of the load and the lubrication and
cleanliness of the lubricant, (assuming correct initial bearing selection and installation).
Fatigue is the result of shear stresses, referred to as elastic deformation, cyclically
appearing immediately below the load carrying surface, as the rollers or balls pass over
the raceway. After many revolutions, these stresses between the rolling element and
raceway surfaces will cause subsurface cracks to appear that will gradually extend to the
surface of either the rolling element, raceway or both. These cracks may cause surface
fragments of bearing material to break away. This condition is referred to as flaking or
spalling. The spalling continues until the bearing is no longer serviceable and it has now
reached its life limit.
Figure 1 Load zone in a typical bearing with a single defect on a rolling element.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
3/24
3
It should come as no surprise to experienced equipment troubleshooters, that
assuming proper design and application, rolling element bearings will fail sooner or later
due to their natural material fatigue life limit, but all bearings will fail prematurely
from abuse or neglect.
According to many bearing experts, the following statistics apply to rolling
element bearings failures, no matter in what type of rotating equipment they are installed
(electric motors, pumps, fans, gear drives, etc.):
10% Reach their natural fatigue life expectancy.
20%Fail prematurely due to inadequatelubrication.
20%Fail prematurely due to contaminatedlubricant, either oil or grease.
30%Fail prematurely due to improper selection
or faulty installation.
20%
Fail prematurely due to mechanicalvibration, excessive temperatures,electrical discharge caused by staticelectricity or current flow, or by operatingconditions which allow overloading and/orover speeding.
These bearing life percentages may vary from industry to industry depending on
operating conditions, maintenance practices and industry operational culture. For
example, in the pulp and paper industry, poor lubrication or contaminated lubricants are
the main causes of failure.
Bearing manufactures such as SKF, will provide its customers with bearing life
expectancy ratings, defined as the number of revolutions or number of operating
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
4/24
4
hours at a given constant speed which a bearing is capable of, before the first sign of
fatigue spalling occurs on one of the rings or rolling elements.
SKF refers to its calculations as the basic life rating or the L10bearing life in
millions of revolutions which is the life that 90% of a sufficiently large group of
apparently identical bearings can be expected to attain or exceed under identical
operating conditions.
The challenge for troubleshooters is to learn to recognize the difference between
the 10% of bearings that display material fatigue spalling and the remaining 90% of
bearings that display premature spalling referred to earlier, because in many instances
they look similar to the untrained eye.
The result is that frequently, the troubleshooter will conclude that the bearing
failed due to a defect in manufacture or material and the root cause of failure may never
be determined.
What Causes Premature Spalling?
The existing literature available from bearing manufacturers and equipment
failure experts generally agrees that the primary causes of premature (and therefore
preventable) spalling of rolling element bearings includes the following list:
1. Misalignment; of either the bearing itself or the shafts upon which they may be
mounted. Misalignment can be traced as the cause of about 50% of the
breakdown of rotating machinery. A 20% load increase caused by misalignment,
can reduce the calculated bearing life by almost 50%.
2. Faulty Mounting or Installation Practices; including the careless use of
excessive or uneven heating of the bearing prior to the interference fitting to a
shaft or into a housing.
If heat is required to expand an inner ring, the temperature shouldnever exceed
255F (125C). If induction heaters are used, it is important to remember to
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
5/24
5
demagnetize the bearing prior to installation. (A magnetized bearing will fail
very quickly due to its attraction of ferrous metal particles).
Sealed, pre-packed bearings frequently used in electric motors must never
be heated and unless approved by the manufacturer, bearings containing shields
should also not be heated.
Clean hands, clean tools and a thoroughly clean work area are absolutely
essential when tradesmen and technicians install new bearings. A small piece of
dirt or metal chip trapped in a newly installed bearing is an invitation to another
bearing failure.
When pressing bearings onto a shaft or into a housing, the use of adequate
presses or hydraulic tools must be used and hammers and punches must neverbe
used, if premature spalling failure of a new bearing is to be avoided.
Figure 2 This photo shows a bearing which was installed while magnetized. It failed within
hours of operation.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
6/24
6
Figure 3 This bearing shows clear evidence of hammer blows to the outer ring during
installation.
3. Defective bearing seats on shafts and in housings; factors that produce
defective seats include shaft seats and housing bores that are over or undersize,
tapered or oval. Oval or out of round housings or undersize shafts can cause a
condition called fretting corrosion, where the bearing ring will actually move on
its seat during operation. An oversized shaft can cause a bearings inner ring to
crack during the cooling period, after installation. An undersized or oval housing
can also cause the bearing outer ring to become pinched, causing premature
failure.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
7/24
7
Figure 4 This bearing failed as a result of several conditions. It was inadequately lubricated,
as is evidenced by the smearing on the roller ends and a frosted surface on the inner ring.
The inner surface of the ring shows clear signs of fretting corrosion caused by poor seating
on the shaft. In addition, water contamination is clearly evident due to the rusty
discoloration on the bearing surface. In cases like this, it is difficult to arrive at a root cause
of failure, because we may not determine which condition occurred first.
4. Improper Shaft or Housing Fits; The degree of tightness or looseness with
which a bearing is mounted on shafts or in housings is governed by the load and
speed to which the bearing will be subjected. If a bearing ring rotates with the
load, an interference fit is required.
i.e.: In an automotive front wheel bearing, the outer ring or cup rotates with the
wheel and therefore has an interference fit with the wheel hub. On the
other hand, the inner rings rotate relative to the load in a gear reducer or
electric motor and are therefore mounted on the shaft with an interference
fit.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
8/24
8
A too loose interference fit may cause a condition called creep,
resulting in scoring of the inner ring. If the lubricant can penetrate the loose fit,
the bore, as well as the shaft seat, will appear polished.
In contrast, an excessive interference fit may cause the bearing ring to
crack. The resulting creep in the first condition and the cracked inner ring in
the second condition will generate heat and wear particulate, both of which can
promote premature spalling and early bearing failure.
Either of these conditions may cause a far more serious problem such as
bearing seizure resulting in a catastrophic machine failure.
It is very important to remember that the degree of fit is governed by the
principle that heavier loads require greater interference. The presence of shock or
continuous vibration also requires a higher interference fit of the ring that rotates
with the load.
These concepts related to bearing fits, should make it clear that any plant
or facility which arbitrarily increases loads or speeds on industrial equipment
must be prepared to expect premature bearing failures!!
5. Ineffective Sealing; The use of incorrect seal materials incompatible with
process fluids or the lubricant used, improper seal installation or improper
operation or maintenance of mechanical seals, or the use of seals which cannot
effectively operate under the existing temperature or contamination conditions are
just a few of the considerations which must be reviewed when troubleshooting
bearings for premature spalling.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
9/24
9
Figures 5 & 6 Water contamination is clearly evident on these bearings. Excessive water
contamination will cause severe corrosion, while small amounts of water will stain the surfaces with a
brown discoloration.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
10/24
10
Figure 7 The surface of this bearing shows clear evidence of scoring (note the scratches along the
surface) caused by contaminated lubricant. Some contaminants actually became embedded inthe bearing surface as evidenced by the areas of discoloration. This failure shows spalling and
flaking which is frequently mistaken for a lubrication failure.
6. Incorrect Initial Bearing Selection;
All rolling element bearings must have some internal clearance between
components in order to compensate for slight variances in housing and shaft fits
and to allow for thermal expansion due to normal operating temperatures.
Reduced levels of internal clearance caused by improper initial bearing
selection (or incorrect selection of replacement bearings), excessive operating
temperature or out of round housings which place excessive loads on bearing
components, will all increase bearing loads, causing premature failure which
frequently is accepted as a fatigue spalling condition.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
11/24
11
i.e. Internal radial clearance classifications for spherical roller bearings:
C1 has the least internal clearance, approximately 412 ten thousandths of an inch.
C2 clearance of 1220 ten thousandths of an inch.
C0 clearance of approximately 2129 ten thousandths of an inch.
C3 clearance of approximately 3043 ten thousandths of an inch.
C4 clearance of 4457 ten thousandths of an inch.
C5 has the most clearance, approximately 5770 ten thousandths of an inch.
It is a serious mistake to simply select a C3 classification if it should be C5.
7. Unacceptable Operating Conditions; The operating conditions which will
cause premature bearing failure include excessive vibration, overloading, over
speeding, high temperatures and electrical discharge.
If a typical bearing loadis doubled, the bearing life may be reduced by up
to 90%. Doubling the rated speed will reduce bearing life by about 50%. These
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
12/24
12
are principles which must be kept in mind when production increases are
demanded without increasing equipment capacity! (See Figure 8)
Figure 8
Electrical discharge is becoming a serious problem in some equipment.
V-belt drive systems build up high levels of static electricity during operation and
this current can dissipate through the bearings to ground causing pits or fluting to
form on the bearing.
Stray magnetic fields in electric motors, both AC and DC, can generate
currents that will pass through bearings. To eliminate these potential problems,
grounding brushes should be used to ground motor shafts and V-belts.
Silicone greases contain electric insulation properties and these greases
might also be considered for some applications.
In many of todays machines, insulated bearings are used to eliminate the
problem of electrical discharge causing pitting or fluting of the bearing surface.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
13/24
13
Figure 9 Typical fluting pattern.
Vibration in a bearing while stationary can cause damage called false
brinelling. The damage may be either brightly polished depressions, or the
characteristic reddish stain common to fretting. These marks left by false
brinelling will be equal to the distance between the rolling elements, just as it is in
cases of true brinelling, so these two conditions are often difficult to distinguish.
Operating bearings at higher temperatures than those recommended by the
manufacturer will dramatically shorten the life of bearings, no matter what type,
quality or amount of lubricant is used. To illustrate the importance of this point;
consider the fact that a good quality, well-refined mineral oil will begin to oxidize
at 160F (71C). The same result will occur in greases where such oils are used
as the lubricating agent.
What this illustrates is that excessive temperatures; that is, temperatures
continually exceeding 160F, will have a detrimental effect on both the bearing
and the lubricant used. In fact, mineral oils have a high temperature limit of
around 550F (300C), at which point the oil decomposes to a soot or tar like
substance.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
14/24
14
Figure 10 This catastrophic bearing failure was caused by a combination of factors. There is
evidence of overloading or excessive thrust (as indicated by the offset ball path of the inner
raceway). This could indicate that the bearing was either not installed correctly or was
installed in the wrong position. There is also evidence that the balls reached such
temperatures that they turned blue-black in color softening the material, causing them toskid in the raceway. There is evidence of melting, skidding and skewing on both the balls
and ball paths in the raceways indicating that these components reached temperatures of
over 550F (300C).
8. Improper or Inadequate Lubrication; As already illustrated, about 70% of
bearing failures occur for reasons other than their lubrication quality or
quantity, yet users of industrial equipment will very often blame the lubricant
used when a bearing failure occurs.
We often hear the term lubrication failure, implying that there was no oil orgrease in the bearing. In most cases the answer is not that simple, because the
question that should be asked is, why did the lubricant fail to prevent damage
to the bearing? The answer to this question is not so obvious, because the
answer involves investigating much more than the lubricant, as we have seen by
the discussions of the many other causes of bearing failure.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
15/24
15
Lubrication related failures occur primarily as a result of three possible
situations. The lubricant used was either unsuitable, inadequate, or
excessive.
1) Unsuitable Lubricant; is a lubricant which, when used in a particular
bearing application, does not contain the suitable additives, is of an
incorrect viscosity, or may not be designed for use in such an application
or temperature range.
i.e. Grease should not be used where oil is recommended (and vice versa).
2) Inadequate Lubricant; Viscosity of the oil, either as oil itself or as the oil
content in greases, is the most important property of any lubricant. The
viscosity/temperature relationship is critical to the quantity of lubricant
which any bearing might require at a given time. If the viscosity is too
high (thick) relative to the temperature, insufficient oil will flow to (or
through) the bearing.
If the viscosity is too low (thin), the oil will not be sufficient to
maintain a separating film between the rolling elements and raceways ofthe bearings. In either case, the asperities (microscopic machined high
points) of the bearing component surfaces may contact each other, initially
causing a frosted or smearing condition, followed by adhesion at the
contact points. Failure of the bearing will be inevitable.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
16/24
16
Figure 11 The frosted appearance of this bearing race illustrates what happens when the oil viscosity
is too low (thin) and metal to metal contact occurs. This type of premature failure occurs during
initial start-up of heavily loaded bearings. This particular damage occurred after only 15 seconds of
operation.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
17/24
17
Figure 12 This bearing has failed due to continual welding contact between asperities on the metal
surfaces, eventually causing metal to be pulled out as the surfaces adhere to each other during
rotation. This condition may have been caused by using oil of the wrong viscosity, excessive loads or
speeds, incorrect internal clearances, or a combination of these problems. Even an increase of aslittle as 4 or 5 in temperature may have contributed to this failure, due to unacceptable thinning of
the lubricants viscosity. When analyzing the root cause of a failure, all of the possible contributing
causes must be considered.
As a general guideline, non-vibrating, lightly loaded bearings operating at
temperatures of 70C or less and running at high speeds can operate very effectively
using an anti-wear or R & O oil with a viscosity range of ISO 3246 cSt. Bearings
running at higher temperatures may require higher viscosity oil of 68 cSt, particularly at
heavy loads. These applications may also require oils with EP (extreme pressure)
additives. For applications where the ambient temperatures are at 0 or less, viscosity
index improved oils of ISO 15 or 22 cSt should be used.
Minimum oil viscosities for low and medium speed bearings at normal operating
temperatures should not be less than 1320 cSt and not less than 30 cSt for rolling
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
18/24
18
element thrust bearings, with the generally accepted optimum viscosity in the range of
1350 cSt.
This optimum viscosity range depends upon bearing RPM, size, type and load.
For high speed bearings such as spindle bearings, minimum viscosity is 610 cSt. There
are several methods of calculating the ISO viscosity selection for bearing lubrication.
These methods include the following formulae.
Guide to Rolling Element Bearing Oil ISO Viscosity Grade Selection
Bearing/Oil Temperature (C)
DN
Value
ndm 95
170K 10 22 46 68 150
DN Value =Shaft diameter or bearing bore (mm) X RPM
ndm Value = (Shaft diameter +outside diameter of bearing (mm) X RPM
2
Notes:
i. Verify the viscosity selection with the bearing manufacturer.
ii. If vibration or shock loading will occur during bearing operation, use a higherviscosity grade with anti-wear or extreme pressure additives and confirm with the
bearing manufacturer. (Use the higher viscosity grade only if the temperaturedoes not increase).
In grease applications, the results will be the same if the
viscosity/temperature relationship is such that oil will not flow from the grease
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
19/24
19
thickener in sufficient quantities to protect bearing surfaces under all operating
conditions. For this reason grease consistency grades are critical in these
applications, in addition to the viscosity of the oil contained in the grease.
The National Lubricating Grease Institute (NLGI) has established nine (9)
consistency grades, based on the worked penetration of greases under test
conditions.
These grades run from triple zero (000), which has a consistency similar to
a high viscosity oil for typical use in a centralized lubrication system, to a number
six (6), which is a block grease. Common greases used in machinery applications
with ambient temperatures in a range of 6075 F (1624C) might require a
consistency of two (2) or three (3) with the appropriate oil viscosities, to ensure
sufficient separation of the oil from the grease thickener under these operating
conditions. These grease selections would also depend upon bearing speeds.
Typical Maximum Bearing ndm Speed Factors by Type of Bearing;
and When They Should be Oil or Grease Lubricated
Bearing Type **Oil Lubr icated Grease Lubr icated
Radial Ball 500,000 340,000
Cylindrical Roller 500,000 300,000
*Spherical Roller 290,000 145,000
Thrust; Ball or Roller 280,000 140,000
* Grease lubrication is not recommended for spherical roller thrust
bearings.
** When oil lubricant is used, the oil level in the bearing housing should beno higher than the centre of the lowest rolling element of the bearing.
Grease Consistency Grade Selection
Determined by Dispensing Method
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
20/24
20
Dispensing Method NLGI Grade Worked Penetration
gear box 000 445-475 (semi-fluid)
central system 00
0
400-430
355-385
grease gun 1
2
3
310-340
265-295 (common)
grease cup 4
5
175-205
130-160
block 6 85-125 (hard)
3) Excessive Lubricant; is frequently the cause of higher than normal
bearing operating temperatures. Excessive grease or oil quantities cause
internal friction within the lubricant, which in turn promotes excessive
temperatures causing oxidation and premature lubricant and bearing
failure.
Oil levels that are too high and excessive quantities of grease in
bearings cause a churning action within the rotating components and the
result will always be an increase in temperature.
Oil of too high viscosity, or grease with a too high consistency will
also increase operating temperatures. Care must be taken therefore, that
when investigating high temperatures, the troubleshooter must consider
not only the possibility of excessive lubricant, but that the correct lubricant
for the application is in use.
As a rule of thumb, if the troubleshooter cannot hold his or
her hand comfortably on the bearing housing, whether on an electric
motor or gear reducer, the temperature is too hot.
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
21/24
21
Another quite common error made by some inexperienced
technicians is to fill new sealed bearings with grease using a syringe under
the bearing seal! This is a serious mistake! Churning will occur, internal
temperatures will rise, oxidation will take place within the lubricant and
premature bearing failure will result.
Sealed bearings are shipped from the manufacturer with
approximately 20% of the bearing cavities grease filled. No more
lubricant is required. Many bearings fail as a direct result of excessive
lubrication.
The standard tube of grease used in the common grease gun
contains 400 grams of grease and typical cylindrical roller bearings with a
6 inch OD and 4 inch ID operating at 1800 RPM only require about 35
grams of grease applied every two and one half (2) months or 1825
hours, when the bearing is operated in ambient room temperatures of 65F
(18C). However, when determining re-lubrication intervals, bearing
operating temperatures must be considered.
If we use the example noted above and the actual operatingtemperature of the cylindrical roller bearing is 130F (54C), our re-
greasing interval should be reduced to about 900 hours (or every five (5)
weeks) using 35 grams of grease.
The general rule of thumb states; the service life of grease
lubricated bearings is reduced by half for every 27F (15C) increase
in temperature above 160F (70C).
If for example, the calculated re-lubrication interval for a given
bearing is 1000 hours at 70C, this interval must be cut in half to 500
hours, if the actual operating temperature is 85C (185F).
To calculate the required amount of grease in ounces to
re-lubricate a bearing in service, use the following calculation.
Bearing OD (inches) X Bearing Width (inches) X the constant .114
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
22/24
22
i.e.: 3 inch OD X .75 Width X .114 = .25 ounces of grease
or 3 X .75 X .114 = .25 ounces of grease
Where bearings are specified in metric dimensions the following
calculation may be used.
Bearing OD (mm) X Bearing Width (mm) X the constant .00018 = grease quanti ty in ounces
(The initial grease pack for a bearing before installation should be
3 X either of the above results).
Tips for Troubleshooting Bearing Lubrication Problems
The first action that should be taken by the troubleshooter when
investigating the cause(s) of a bearing problem is to familiarize oneself with the
following conditions, regardless of the bearings location or the type of machine in which
it is installed.
1. What is the recommended operating temperature of the bearing? Compare this
with the actual operating temperature using an accurate testing device, such as an
SKF thermopen or a hand-held Thermocam infrared camera.
2. Measure the noise level using a device such as the UE systems ultrasound tester.
If noise levels are increasing above those normally experienced, it could indicate
insufficient lubricant, vibration, premature spalling, or reduced internal clearance,
due to higher than normal temperatures or poor bearing installation. (Keep in
mind that noise is frequently accompanied by high temperatures).
If insufficient lubricant is suspected, determine if the bearing has the
correct amount of oil in the housing and add if necessary. If grease lubricated,
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
23/24
23
pump a shot or two of grease into the bearing. If the noise level does not change
after a few minutes, insufficient lubricant is not the cause.
3. Often noise is associated with mechanical looseness or some other condition
which may cause vibration at or near the bearing. A stroboscope will very
quickly indicate whether or not a vibration is present.
4. Vibration or noise may also be the result of an overloaded bearing or a bearing
rotating at excessive speeds; using a digital tachometer, speeds can quickly and
accurately be determined, then compared with specifications.
5. Often noise is associated with defective seals which may be rubbing on the
bearings shaft. This may also increase the operating temperature (near the lip of
the seal) combined with lubricant leakage or seepage past the seal. A groove at
the seal lip may be observed.
6. If a leaking seal is obvious or suspected, contamination may have entered the
bearing causing premature damage. An oil or grease sample should be obtainedand analyzed for higher than normal wear metals and contaminants, particularly
dirt or water.
7. In a grease-lubricated bearing, a leaking seal combined with high temperatures
might indicate that the grease has reached or exceeded its dropping point.
Confirm that the grease in use is the recommended product and that it has not
been mixed with an incompatible type of grease. Incompatibility also might lead
to a seal leak, as the two incompatible greases react with each other and oil
separates from the thickening agents in either (or both) greases.
8. On machines using ring oiling of the bearings, ensure that the rings are in fact
rotating. If they are worn or not rotating, oil will not be picked up and distributed
-
7/28/2019 Troubleshooting Rolling Element Bearing Problems
24/24
by the ring. High temperatures, noise and eventual premature bearing failure will
be the result.
9. On centralized lubrication or oil mist systems, ensure that the system is calibrated
properly and distributing the correct amount of grease or oil to the affected
bearings.
10.Finally, the troubleshooter should be thoroughly familiar with the machine itself,
its overall operating conditions and the processes or applications for which the
machine is used. Above all, remember that about 70% of bearing failures are
not lubricant or lubrication related, although they may appear to be!
R e f e r e n c e s
The Practical Handbook of Machinery Lubrication, 3rd
Edition; L. Leugner.
SKF Bearing Maintenance Handbook; The SKF Manufacturing Group.
Care and Maintenance of Bearings; The NTN Bearing Corporation.
Failure Atlas for Hertz Contact Machine Elements, 2nd
Edition; T.E. Tallian.