Page 95 - Rollingbearings
P. 95

Size selection based on rating life
           Considerations when               Geared transmissions               Belt drives
           calculating equivalent            With geared transmissions, the theoretical   When calculating bearing loads for belt driven
           dynamic bearing load              tooth forces can be calculated from the   applications, “belt pull” must be taken into
                                             power transmitted and the design charac-  consideration. Belt pull, which is a circum-
           For the sake of simpliication, when calculating   teristics of the gear teeth. However, there   ferential load, depends on the amount of
           the load components for bearings supporting   are additional dynamic forces, produced   torque being transmitted. The belt pull must
           a shaft, the shaft is considered as a statically   either by the gear, or by the input or output   be multiplied by a factor whose value depends
           determined beam resting on rigid, moment-  shaft. Additional dynamic forces from gears   on the type of belt, belt tension and any
           free supports. Elastic deformations in the   can be the result of pitch or form errors of   additional dynamic forces. Belt manufacturers
           bearing, the housing or the machine frame   the teeth and from unbalanced rotating   usually publish the values. However, should
           are not considered, nor are the moments   components. Gears produced to a high level   information not be available, the following
           produced in the bearing as a result of shaft   of accuracy have negligible additional forces.   can be used:
           delection. These simpliications are necessary   For lower precision gears, use the following
           if you are making bearing arrangement cal-  gear load factors:       • toothed belts = 1,1 to 1,3
           culations without the aid of relevant computer                       • V-belts = 1,2 to 2,5
           software. The standardized methods for   • pitch and form errors < 0,02 mm:    • plain belts = 1,5 to 4,5
             calculating basic load ratings and equivalent   1,05 to 1,1
           bearing loads are based on similar   • pitch and form errors 0,02 to 0,1 mm:   The larger values apply:
           assumptions.                        1,1 to 1,3
            It is possible to calculate bearing loads                           • where the distance between shafts is
           based on the theory of elasticity, without   Additional forces arising from the type and   short
           making the above assumptions, but this   mode of operation of the machines that are   • for heavy or peak load type duty
           requires the use of complex computer pro-  coupled to the transmission can only be   • where belt tension is high
           grams (SKF SimPro Quick and SKF SimPro   determined when the operating conditions,
           Expert). In these programs, the bearings,   the inertia of the drive line and the behaviour
           shaft and housing are considered as resilient   of couplings or other connectors are known.
           components of a system.           Their inluence on the rating lives of the
            If external forces and loads – such as iner-  bearings is included by using an “operation”
           tial forces or loads resulting from the weight   factor that takes into account the dynamic
           of a shaft and its components – are not   effects of the system.
           known, they can be calculated. However,
           when determining work forces and loads –
           such as rolling forces, moment loads, unbal-
           anced loads and impact loads – it may be                                                                   Bearing size
           necessary to rely on estimates based on
           experience with similar machines or bearing
                                                                                                                      B.3
           arrangements.


                                  Diagram 6

            Rotating load



                                                                     Diagram 7
               f m
             1,00
                                               Short time peak load
             0,95
             0,90
             0,85
             0,80
                                                F max
             0,75
             0,70
                0   0,2  0,4  0,6  0,8  1,0
                                     F 1                             Time
                                     +
                                   F 1 F 2



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