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A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Acceleration torque (T2B)
The acceleration torque T2B is the
maximum permissible torque that can
briefly be transmitted at the output by the gearhead afteR < 1000/h cycles. For > 1000/h cycles, the impact factor
must be taken into account. T2B is the
limiting parameter in cyclic operation.
Adapter plate
WITTENSTEIN alpha uses a system of standardized adapter plates to connect
the motor and the gearhead, making
it possible to mount a WITTENSTEIN
alpha gearhead to any desired motor
without difficulty.
Angular minute
A degree is subdivided into 60 angular
minutes (= 60 arcmin = 60´). In other
words, if the torsional backlash is
specified as 1 arcmin, for example,
the output can be turned 1/60°. The repercussions
for the actual application
are determined by the arc length: b = 2 ·
· r ·
° / 360°. A pinion with a
radius r = 500 mm on a gearhead with
standard torsional backlash jt = 3‘ can
be turned b = 0.4 mm.
Axial force (F2AMax)
In the case of SP+/LP+/SPK+, the axial
force F2AMax acting on a gearhead runs
parallel to its output shaft. On a TP+,
the force runs perpendicular to its
output shaft. It may be applied with axial
offset via a lever arm y2 under certain circumstances, in which case it also
generates a bending moment.
If the axial force exceeds the permissible
catalogue values, additional design
features (e.g. axial bearings) must be
implemented to absorb these forces.

Bushing
If the motor shaft diameter is smaller
than the clamping hub, a bushing
is used to compensate the difference
in diameter.

Clamping hub
The clamping hub ensures a frictional
connection between the motor shaft
and gearhead. A bushing is used
as the connecting element if the motor
shaft diameter is smaller than that of the
clamping hub.
Continuous operation (S1)
Continuous operation is defined by
the duty cycle. If the duty cycle
is greater than 60% or longer than
20 minutes, this qualifies as continuous
operation. See also Operating modes.
Control Loading System
This system uses active or passive technology to provide pilots with realistic flight control forces in a flight simulator or training device. Learn more at Wikipedia . . .
Cyclic operation (S5)
Cyclic operation is defined via
the duty cycle. If the duty cycle
is less than 60% and shorter than
20 minutes, it qualified as cyclic
operation. See also Operating modes.
cymex®
cymex® is the calculation software developed
by our company for dimensioning
complete drive trains. We can also
provide training to enable you to make
full use of all the possibilities provided
by the software.
Degree of protection (IP)
The various degrees of protection are def ned in DIN EN 60529 “Degrees of protection
offered by enclosure (IP code)”.
The IP degree of protection (IP stands
for International Protection) is represented
by two digits. The first digit indicates
the protection against the ingress of impurities and the second the protection
against the ingress of water.

Duty cycle (ED)
The duty cycle ED is determined by one cycle. The times for acceleration
(tb), constant travel if applicable (tc) and
deceleration (td) combined yield the duty
cycle in minutes. The duty cycle is expressed
as a percentage with inclusion
of the pause time te.

Efficiency (n)
Efficiency [%] n is the ratio of output
power to input power. Power lost
through friction reduces efficiency
to less than 1 or 100 %.
n = Pout / Pin = (Pin - Plost) / Pin
WITTENSTEIN alpha always measures
the efficiency of a gearhead during operation
at full load (T2B). If the input power
or torque are lower, the efficiency rating
is also lower due to the constant no-load
torque. Power losses do not increase as
a result. Speed also has an effect on efficiency, as shown in the example diagram
above.

Emergency stop torque (T2Not)
The emergency stop torque [Nm] T2Not
is the maximum permissible torque at
the gearhead output and must not be
reached more than 1000 times during
the life of the gearhead. It must never
be exceeded.
High Speed (MC)
The High Speed version of our SP+ gearhead
has been specially developed for
applications in continuous operation at
high input speeds, e.g. as found in the
printing and packaging industries.
High Torque (MA)
The High Torque version of our TP+
gearhead has been specially developed
for applications requiring extremely high
torques and maximum rigidity.
MA = High Torque
MC = High Speed
MF = standard versions of our
WITTENSTEIN alpha servo gearheads
Hysteresis curve
The hysteresis is measured to determine
the torsional rigidity of a gearhead.
The result of this measurement is known
as the hysteresis curve.

IIf the input shaft is locked, the gearhead is loaded with a torque that increases continuously up to T2B and is then relieved at the output in both directions. The torsional angle is plotted against the torque. This yields a closed curve from which the torsional backlash and torsional rigidity can be calculated.
Impact factor (fs)
The maximum permissible acceleration
torque during cyclic operation specified
in the catalog applies for a cycle rate less
than 1000/h. Higher cycle rates combined
with short acceleration times can
cause vibrations in the drive train. Use
the load factor fs to include the resulting
excess torque values in calculations.
The impact factor fs can be determined with reference to the curve. This calculated
value is multiplied by the actual acceleration
torque T2b and then compared
with the maximum permissible acceleration
torque T2B. (T2b · fs = T2b, fs < T2B)

Jerk
Jerk is derived from acceleration and
is defined as the change in acceleration
within a unit of time. The term impact is
used if the acceleration curve changes
abruptly and the jerk is infinitely large.
Lateral force (FR)
Lateral force is the force component
acting at right angles to the output shaft
with the SP+/LP+/SPK+ or parallel to
the output flange with the TP+. It acts
perpendicular to the axial force and can
assume an axial distance of x2 in relation
to the shaft nut with the SP+/LP+) or
shaft flange with the TP+, which acts as
a lever arm. The lateral force produces
a bending moment (see also axial force).
Mass moment of inertia (J)
The mass moment of inertia J is a
measurement of the effort applied by an
object to maintain its momentary condition
(at rest or moving).
Mesh frequency (fz)
The mesh frequency may cause
problems regarding vibrations in an
application, especially if the excitation
frequency corresponds to the intrinsic
frequency of the application.
The mesh frequency can be calculated
for all SP+, TP+ , LP+ and alphira® gearheads
using the formula fZ = 1.8 · n2 [rpm]
and is therefore independent of the ratio
if the output speed is the same.
If it does indeed become problematic,
the intrinsic frequency of the system
can be changed or another gearhead (e.g. hypoid gearhead) with a different
mesh frequency can be selected.
No load running torque (T012)
The no load running torque T012 is
the torque which must be applied
to a gearhead in order to overcome the
internal friction; it is therefore considered
lost torque. The values specified
in the catalog are calculated by
WITTENSTEIN alpha at a speed of
n1 = 3000 rpm and an ambient temperature
of 20 °C.
Nominal torque (T2N)
The nominal torque [Nm] T2N is the torque
continuously transmitted by a gearhead
over a long period of time, i.e. in continuous
operation (without wear).
Operating modes
(continuous operation S1 and
cyclic operation S5)
When selecting a gearhead, it is important
to consider whether the motion profile is
characterized by frequent acceleration and
deceleration phases in cyclic operation
(S5) as well as pauses, or whether it is
designed for continuous operation (S1),
i.e. with long phases of constant motion.
Operating noise (LPA)
Low noise level LPA is a factor of growing
importance for environmental and health
reasons. WITTENSTEIN alpha has succeeded
in reducing the noise of the new
SP+ gearheads by another 6 dB(A) over
the former SP units (i.e. sound reduced
to one quarter). Noise levels are now
currently 64 - 70 dB(A) depending on
the size of the gearhead.
The gear ratio and speed both affect
the noise level. The relationships are demonstrated
in the following trend graphs.
As a general rule: A higher speed
means a higher noise level, while
a higher ratio means a lower noise level.
The values specified in our catalog
relate to gearheads with the ratio i = 5
at a speed of n = 3000 rpm.


Positioning accuracy
The positioning accuracy is determined
by the angular deviation from a setpoint
and equals the sum of the torsional
angles due to load (torsional rigidity
and torsional backlash) and kinetics (synchronization error) occurring
simultaneously in practice.
Ratio of mass moment
of inertia (
= Lambda)
The ratio of mass moment of inertia
is
the ratio of external inertia (application
side) to internal inertia (motor and gearhead
side). It is an important parameter
determining the controllability of an
application. Accurate control of dynamic
processes becomes more difficult with
differing mass moments of inertia and
as
becomes greater. WITTENSTEIN alpha recommends that a guideline
value of
< 5 is maintained. A gearhead
reduces the external mass moment of
inertia by a factor of 1/ i
.

Ratio (i)
The gear ratio i indicates the factor by
which the gearhead transforms the three
relevant parameters of motion (speed, torque and mass moment of inertia).
The factor is a result of the geometry of
the gearing elements (Example: i = 10).

Speed (n)
Two speeds are of relevance when
dimensioning a gearhead: the maximum
speed and the nominal speed at the
input. The maximum permissible speed
n1Max must not be exceeded because
it serves as the basis for dimensioning cyclic operation. The nominal speed
n1N must not be exceeded in continuous
operation. The housing temperature limits the
nominal speed, which must not exceed
90 °C. The nominal input speed specified
in the catalogue applies to an
ambient temperature of 20 °C. As can
be seen in the diagram below, the temperature
limit is reached more quickly
in the presence of an elevated outside
temperature. In other words, the
nominal input speed must be reduced
if the ambient temperature is high. The
values applicable to your gearhead are
available from WITTENSTEIN alpha on
request.

Synchronization error
The synchronization error is equal to
the variations in speed measured between
the input and output during one
revolution of the output shaft. The error
is caused by manufacturing tolerances
and results in minute angular deviations
and fluctuations in ratio.
Technical data
The technical data relating to our
products can be found on the relevant product pages. Alternatively, you can send
your requests, suggestions and comments
to info@wittenstein-us.com.
Tilting moment (M2K)
The tilting torque M2K is a result of the axial and lateral forces applied and
their respective points of application in
relation to the inner radial bearing on the
output side.
Torque (M)
The torque is the actual driving force of
a rotary motion. It is the product of lever
arm and force. M = F · l
Torsional backlash (jt)
Torsional backlash is the maximum
angle of torsion of the output shaft in
relation to the input. Torsional backlash
is measured with the input shaft locked.
The output is then loaded with a defined
test torque in order to overcome the
internal gearhead friction. The main factor
affecting torsional backlash is the face
clearance between the gear teeth. The low
torsional backlash of WITTENSTEIN alpha
gearheads is due to their high manufacturing
accuracy and the specific combination
of gear wheels.

Torsional rigidity (Ct21)
Torsional rigidity [Nm/arcmin] Ct21 is
defined as the quotient of applied
torque and generated torsion angle.
Ct21 =
T/![]()
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It consequently shows
the torque required to turn the output
shaft by one angular minute. The torsional
rigidity can be determined from the hysteresis curve. Only the area between
50 % and 100 % of T2B is considered
for because this area of the curve
profile can be considered linear.

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