Body and Implement Mounting Guidelines U500 North America
Mechanical drive of implements
August 2005
Page 191 of
294
Three-dimensional deflection
A three-dimensional
deflection is an in-
tersection of the
centerlines of input
and output shaft with
spacious offset. A
common plane just
like with W or Z de-
flection does not ex-
ist. In order to com-
pensate the speed
oscillation, the inner
forks of the univer-
sal-joints of the connecting shaft must be offset. This offset
angle is designated with
µ
(see Figure 5.27).
The following applies to determine the offset angle
µ
:
β
1
=
Three-dimensional angle of shaft 1
β
2
=
Three-dimensional angle of shaft 2
β
3
=
Three-dimensional angle of deflection
The 3D angle of deflection
β
3
can be determined with:
2
2
1
2
3
2
tan
tan
tan
β
β
β
+
=
β
v
= Three-dimensional angle of shaft 1
β
h
= Three-dimensional angle of shaft 2
µ
= Offset
angle
The offset angle
µ
can be determined with the horizontal and
vertical angles of deflection of the two shafts:
An infinite number of possible positions
may be created by the combination of the
vertical and horizontal angle of deflec-
tion. In order to better determine the off-
set angle, the pro shaft manufacturer
should be involved in an advisory capac-
ity.
5.11.3 Forces in the drive shaft system
Forces are introduced as a result of the angle of deflection in
the drive shaft. Additional forces are created if the drive shaft
is laterally displaced under the concurrent effect of force and
torque. The type, magnitude and direction of the additional
forces are dependent on the relevant operating status and the
type of drive shaft arrangement.
Figure 5.27: Three-dimensional deflec-
tion
2
1
2
2
2
2
1
1
1
2
tan
tan
tan
tan
tan
tan
µ
µ
µ
β
β
µ
β
β
µ
+
=
=
=
v
h
v
h
