The
designing of cardan shafts must exclude all possible
danger to persons and material by secured calculation and
test results as well as other suitable steps (see
Safety instructions ).
The selection procedure described in this chapter is only
a general recommendation. Please consult our engineers
for the final design.
The selection of a cardan shaft should be based on the
following conditions:
- Specifications
of cardan shafts
- Selection by
bearing life
- Operational
dependability
- Operating
angles
- Speed
- Length
dimensions
- Load on
bearings of the connected units
1.
Specifications of cardan shafts
TCS = Functional limit torque
[Nm]
Up to this maximum permissible torque a load may
be applied to a cardan shaft for a limited frequency
without the working capability being affected by
permanent deformation of any cardan shaft functional
area.
Up to 1000 load changes (short time fatigue strength for
finite life) are capable of being sustained with TCS. This does not result in any unpermissible
effect on bearing life.
TK = Catalogue torque [Nm]
This catalogue torque is taken as the
identifiable layout size. Up to this torqus the DIN/ISO
recommendation 281 is to be used without restriction on
the calculation of bearing life.
TDW = Fatigue torque [Nm]
At this torque the cardan shaft is permanently
solid at alternating loads.
The values for cardan shafts of series 687 with welded
balancing plates are lower.
With a fatigue torque of this order the transmission
capacity of the flange connection must be checked.
TDSch = Permanently pulsating
torque [Nm]
At this torque the cardan shaft is permanently
solid at pulsating loads.
LC = Bearing capacity factor
The bearing capacity factor takes into
consideration the dynamic service life Cdyn (see DIN/ISO 281) of the bearings and the
joint geometry R. Ihe LC-values for the different shaft
sizes are shown in the tables.
For selecting a cardan shaft the bearing life and
the operating strength must be considered separately.
According to the load state the fatigue torque TDW or the permanently
pulsating torque TDSch must also be taken into
consideration.
2.
Selection by bearing life
by
bearing capacity factor LC
The bearing life Lh of a cardan shaft depends an the
bearing capacity factor and is based an the following
formula:
If the desired bearing life Lh is
given, the joint size can be calculated by the bearing
capacity factor LC.
The LC-values can be taken from the
tables.
LC |
= |
Bearing capacity
factor |
n |
= |
Operating speed [] |
β |
= |
Operating
deflection angle [°] |
T |
= |
operating torque [kNm] |
K1 |
= |
Shock factor |
If operating data are based on a duty cycle, a more
precise durability can be calculated.
Drives with internal combustion engines may cause torque
peaks that must be considered by factor K1.
Electric
motor/turbine |
|
K1 = 1,00 |
Gasoline
engine |
4
cyl. and more |
K1 = 1,15 |
Diesel
engine |
4
cyl. and more |
K1 = 1,20 |
The values shown in the tables are general values. If a
flexible coupling is used, the shock factor is lower.
Principally the data of the motor and/or coupling
manufacturer must be observed.
3. Operating
dependability
The operating
dependability can be determined if a certain duty cycle
is given. The calculated service life of a cardan shaft
under normal working conditions has to achieve or exceed
the required service life.
Duty cycles are often not available. In this case, please
contact our engineers and make use of our more than 50
years of experience as a manufacturer of cardan shafts.
We will provide an optimal selection.
Our calculations are based on the normal operating torque
T and the maximum torque TSP that
may occur.
The maximum operating torque is determined according to
the kind of operation and the type or torque and should
be lower than the corresponding torques TDSch and TDW.
Typical types of torques:
Pulsating stress
Alternating stress
The maximum torque TSP is determined by the nominal
torque of the driving machine and the corresponding start
factor or the service factor K of the working
machine.
This maximum torque (TSP) should not exceed the catalogue
torque TK of the cardan shaft.
TSP |
= |
Maximum torque
[Nm] |
TN |
= |
Nominal torque
[Nm] |
TK |
= |
Catalogue torque
of the cardan shaft [Nm] |
Service factor K
The service factors shown in the following table
should be used as approximate values only
light shock load: K = 1,1 - 1,5
driven machine |
Centrifugal
pumps
Generators (continuous load)
Conveyors (continuous load)
small ventilators
Machine tools
Printing machines |
|
|
|
medium shock load: K = 1,5 - 2
driven machine |
Centrifugal
pumps
Generators (non-continuous load)
Conveyors (non-continuous load)
medium ventilators
Wood handling machines
small paper and textile machines |
Pumps
(multi-cyl.)
Compressors (mulit-cyl.)
Road and bar mills
Locomotive primary drives |
|
|
heavy shock load: K = 2 - 3
driven machine |
Large
ventilators
Marine transmissions
Calender drives
Transport roller tables
small pinch rolls
small tube mills |
heavy
paper and textile machines
Compressors (single-cyl.)
Pumps (single-cyl.)
Mixers
Crane drives
continuous casters |
Bucket
wheel reclaimers
Bending machines
Presses
Rotary drilling rigs
Locomotive secondary drives |
|
extra heavy shock load: K = 3 - 6
driven machine |
continuous
working roller tables
Medium section mills
continuous slabbing and blooming mills
continuous heavy tube mills
reversing working roller tables
Vibration conveyors |
Scale
breakers
continuous casting machines
Straightening machines
Cold rolling mills
Blooming stands
Reeling drives |
|
|
extreme shock load: K = 6 - 10
driven machine |
Breast
roller drives
Wrapper roll drives
Plate-shears
reversing slabbing and blooming mills |
|
|
|