2.3.3 STRUCTURE FOR ACHIEVING TORQUE
BIAS
As previously stated, the torque
biasing characteristic of this differential is achieved by interconnecting the
drive axles with an Index gearing configuration which selectively controls the
generation of frictional torques within the differential.
It is important to note that there
are no intrinsic forces or pre-loads within the differentials which affect
transfers of torque between drive axles. All of the forces which are controlled
to produce frictional resistance between drive axles are derived from transfers
of torque between a single drive source and the drive axles.
The characteristic of torque bias is
achieved in a very simple way. It is well known that frictional forces are
determined by the product of the coefficient of friction of a given surface and
the normal force applied to that surface. Frictional torque, of course, is
merely the application of that normal force at an effective frictional radius.
All of the forces which are active within the differential are derivable from
the torque which is being conveyed by the differential and the friction
coefficients of surfaces within the differential.
Therefore, all of the frictional
forces which are generated within the differential, and all of the resulting
resistant torques which oppose the transfer of torque between drive axles, are
proportional to the torque being conveyed by the differential. Since the
maximum difference in torque between drive axles which can be supported by
friction is proportional to the combined torque of the drive axles, the maximum
bias ratio remains constant with respect to changes in the combined drive axle
torques.
In addition to providing a geared
interconnection between drive axles which permits the usual opposite relative
rotation between the drive axles, the gearing also distributes forces which may
be generated to resist differentiation over a large number of different
surfaces within the differential. The surfaces over which the Invex gearing
distributes forces are designed with different coefficients of friction and the
Invex gearing is designed to distribute different loads between the surfaces.
Collectively, the surfaces and the gearing are designed to distribute wear
evenly over the surfaces and to control the overall amount of friction within
the differential needed to achieve a desired bias ratio.
The twenty-one components which make
up the differential are shown in Figure 4. All components of the Index gear
system are contained within the housing. Input power usually is transmitted to
the housing by way of a ring gear (crown wheel) bolted to the housing itself.
Trunnion are adapted to receive bearings by which the housing is rotatively
supported and retained within the axle carrier assembly. These Trunnion also
receive the respective axle ends which are spline to the side gears within the
housing.
Each side gear meshes with element
gears arranged at intervals about the periphery of the associated side gears;
tangent to, and in engagement with, the pitch surfaces of the side gears. Each
of these element gears is formed with a helical middle portion and spur gear
end portion. Each side gear meshes with the middle portion of these associated
element gears. At the same time, the integral spur gear portion of each element
gear meshes with the spur portion of its adjacent element gear. Element gears
are shaft-mounted by means of their associated journal pins. The number of
element gears and associated hardware may vary.
However, the usual arrangement has
three sets of element gear pairs arranged at 120 degree intervals as
illustrated. It is this arrangement of In-vex gearing that provides for (a)
connecting the drive axles for opposite directions of relative rotation with
respect to the differential housing and, (b) controlling the transfer of torque
between drive axles.
Completing the hardware complement
are thrust washers used between each end of each side gear, between side gears
and the housing. Selection of thrust washers is important in determining the
operating characteristics for each application. Proprietary Gleason models
permit pre selection of components with a high degree of accuracy with respect
to actual vehicle characteristics.
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