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9      INTERNAL SELF-ALIGNING BALL & ROLLER BEARING UNITS



                1. Basic load rating and life




           1.1 Basic dynamic load rating and life
           The basic rating life of a group of ball or roller  bearings  Table 1. Lh Bearing Life
           is defined as the number of revolutions  (or hours at
                                                                  R E C O M M E N D E D  F I L  E  H O U R S  H O U R S
           some given constant speed) that 90% of the group of
                                                                M           y l t n e u q e r f n i s e n i h c a  d e s u  0 0 5
           bearings will complete or exceed before the first evidence  p i u q E  m  t n e t t i m r e t n i r o f t n e  e c i v r e s  0 0 0 4  o t  0 0 0 8
                                                                       n o i t p u r r e t n i –  e l b i s s i m r e p
           of fatigue develops, namely the life estimated with 90%
                                                                      t n e t t i m r e t n I  e c i v r e s  m  s e n i h c a  0 0 0 8  o t  0 0 0 0 2
           reliability.                                         –        m i y l t n e d n e p e d  t n a t r o p
                                                                M    s e n i h c a  d e s u  8  s r u o h  r e p  y a d  0 0 0 0 2  o t  0 0 0 0 3
           The basic dynamic load rating is that constant stationary  C  s u o u n i t n o  e c i v r e s  p i u q e  m  t n e  0 0 0 0 5  o t  0 0 0 0 6
                                                                   p i u q E  m  r o f t n e  s u o u n i t n o c  e c i v r e s  0 0 0 0 0 1  o t  0 0 0 0 0 2
           load which a group of bearings with stationary outer ring  d n a  m  m i x a  u m  y t i l i b a i l e r
           can endure for a rating life of one million revolutions of
                                                             In the case when some bearings are used in an equipment,
           the inner ring. It refers to pure radial load for radial
                                                             it is often decided that failure of any one of them impairs
           bearings.
                                                             the function of the equipment, the total life of the assembly
           The relationship between the bearing basic dynamic load  is to be given by the following formula (6):
           rating, the bearing load and the basic rating of spherical
           roller bearings is given by the following formula (1):                1
                                                                   L =    1    1       1   1 /       (6)
                                                                                           ]
                                                                       [  L1e  +         +        +  Lr1e  e
                                                                                  ...
                                                                              L2e
                       C P
                 L10 =  [  ]                     (1)         where
                       P
                                                                   L = total life of the whole bearing assembly, h
           where
                                                                   L1, L2, ..., Ln = rating life of bearings 1, 2, ..., n, h
                 L10  = basic rating life in millions of           e = 9/8 – for roller bearings
                          revolutions                              e = 10/9 – for ball bearings
                 C   = basic dynamic radial rating, N
                 P   = dynamic equivalent radial load, N
                 p   = 10/3 – for spherical roller bearings  In the case where load and the number of revolutions
                 p    = 3 – for ball bearings.               change at regulated intervals, after finding the rating life L1,
                                                             L2, ..., Ln under conditions of n1, Pr1; n2, Pr2; nn, Prn, the
                                                             built-in life Lm can be given by formula (7);
           When the running speed of a bearing is fixed, it is
                                                                   L1  =
                                                                            C P
           convenient to calculate the basic rating life in terms of    10 6  [  ]
           operating hours rather than the number of revolutions,  L2 =  60n1  P1
                                                                        10 6  C P
           using the following procedure:                               60n2  [  ]
                                                                            P2
                                                                   Ln =
                                                                        10 6  C P
                  L10h = 500fh P                 (2)                    60nn  [  ]
                                                                            Pn
                       Cr
                                                                                 1
                       Pr
                 fh  = fn                        (3)               Lm =   Ø1   Ø2  ...  Øn  -1       (7)
                       33.3 1
                 fn = [   ]  / P                 (4)         where      [  L1  +         +        +  Ln     ]
                                                                               L2
                       n
           where                                                   L1, L2, ..., Ln  = rating life under condition 1, 2,...,
                                                                                 n, h
                 L10h  = basic rating life in hours of                        = number of revolutions under
                                operation, h                       n1, n2, ..., nn
                 fh    = life factor                                             condition 1, 2,..., n, h, rpm
                 fn    = speed factor                              P1, P2, ..., Pn = equivalent radial load under
                 n     = operating speed, rpm                                    condition 1,2,..., n, N
                                                                   Ø1, Ø2, ..., Øn = ratio of condition 1, 2, ..., n
                                                                                 accounting for the total
                                                                                 operating time
           Formula (2) may also be expressed as formula (5):
                                                                        Lm1   = in-built life, h
                           C P
                 L10h =  10 6  [  ]               (5)
                       60n  P
           The rating life of spherical roller and ball bearings can be
           obtained from the nomograms in Figure 1. Table 1 shows
           the bearing life (Lh). Figures in hours generally required
           in the selection of bearings for various types of machines.
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