
1. T.A. Harris, Friction and Wear of Rolling-Element Bearings, Friction, Lubrication, and Wear
Technology, Vol 18, ASM Handbook, ASM International, 1992, p 499
2. R. Pike and J.M. Conway-Jones, Friction and Wear of Sliding Bearings, Friction, Lubrication, and
Wear Technology, Vol 18, ASM Handbook, ASM International, 1992, p 515–521
3. M.M. Khonsari and J.Y. Jang, Chapters 61, 62, and 63, Tribology Data Handbook, E.R. Booser, Ed.,
CRC Press, LLC, 1997, p 669–707
Testing of Bearings
Charles A. Moyer, The Timken Company (Retired)
Rolling Element Bearings
Rolling bearings date back to the Neolithic period, or the new Stone Age (Ref 4). When heavy materials needed
to be moved, or when primitive vehicles had wheels, someone devised bronze or wood “bearings,” with or
without oils or fats. Archaeologists have found bronze balls, cylindrical rollers, and wooden tapered roller
bearings dating back to 300 to 500 B.C.
Considering the different materials used, it is clear that finding the proper material, shapes, and sizes was then,
and continues to be, important and is the core of testing to determine what performance can be expected from
rolling element bearings. Advancements continued over the years, but bearings that resemble those in use today
did not appear until the late 19th century. Modern rolling bearings developed gradually from 1850 to 1925 (Ref
4). One driving force was the need for bearings in bicycles.
While working in Berlin, Germany, Professor Richard Stribeck undertook early bearing tests, the results of
which were published in 1901 and 1902 (Ref 5, 6). His goal was to determine safe ball loads statically and in
complete bearings over different speed ranges. He made use of Hertz's work covering elastic bodies in contact
(Ref 7) and started with a press arrangement with three hardened steel balls in contact, two steel balls with a
steel plate between them, and finally, a single ball between two short cylinders set on end with cup shapes to fit
the ball. He found the relation of load P on the ball diameter d to be:
P = Kd
2
(Eq 1)
K was a constant based on steel type and contact geometry. Based on the materials he used, Stribeck established
that Eq 1 held to the elastic limit and somewhat beyond. He also ran tests on complete bearings and established
the way balls shared loads under radial load conditions. Using bearings with 10 to 20 balls and no clearance
between balls and rings, he determined that the most heavily loaded ball (P
0
) was related to the total load P by:
P
o
= 4.37/Z·P
(Eq 2)
where Z is the number of balls in the bearing. To be conservative, Stribeck changed 4.37 to 5.0.
In 1912, Professor John Goodman published in England studies on rolling element bearings (Ref 8), covering
life, friction, and wear. He knew of Stribeck's work and determined reductions in bearing load capacity based
on bearing speed (N). Goodman's equation for this reduction was:
P = Kd
2
/ND + Ad
(Eq 3)
where D is the ball-race path diameter; A is a constant; and P,K, and d are the same as in Eq 1.
Studies of bearings and bearing materials (primarily steel) were followed by the emergence of the first
manufacturing companies to patent and produce rolling element bearings. Bearing lubrication at this time was
greatly influenced by the Reynold's equation (Ref 9) and the successes experienced in the hydrodynamic films
generated in conformal bearings. It was assumed that the nonconformal contacts in “antifriction” bearings
generated much thinner and, thus, less protective films for the contact region. The actual lubricating means for
rolling bearings was thus a puzzle.