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Use and limits of use
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5.2.3 Calculation of the required clamping force at a given rotational speed
The initial clamping force
𝐹
𝑠𝑝0
is the total force applied to the
workpiece through the chucks when the clamping device is
actuated radially while stationary. Under the influence of ro-
tation, the chuck mass generates additional centrifugal force.
This centrifugal force decreases, or the initial clamping force
increases, depending upon whether clamping is applied from
outside inwards or from inside outwards.
The total of initial clamping force
𝐹
𝑠𝑝0
and total centrifugal
force
𝐹
𝑐
is the effective clamping force
𝐹
𝑠𝑝
.
𝐹
𝑠𝑝
= 𝐹
𝑠𝑝0
∓ 𝐹
𝑐
[𝑁]
(-) for clamping from outside inwards
(+) for clamping from inside outwards
When tension is applied from outside inwards, the effective
clamping force decreases as rotational speed increases,
proportional to the increase in centrifugal force [these are
opposing forces]. When the limit speed is exceeded, the re-
quired minimum clamping force
𝐹
𝑠𝑝 𝑚𝑖𝑛
is not achieved.
Consequently, the workpiece is released in an uncontrolled
manner.
DANGER
Serious injuries caused by projectile workpieces
when the limit speed is exceeded!
Never exceed the calculated rotational speed.
Never drop below the required minimum clamping
force.
In the following illustration, the reduction in effective clamp-
ing force is reduced by the total amount of centrifugal force
when clamping from outside inwards.
𝐹
𝑠𝑝𝑂
Initial clamping force
while stationary
𝐹
𝑠𝑝𝑚𝑖𝑛
Required minimum
clamping force
𝐹
𝑠𝑝
Effective clamping force
𝐹
𝑐
Centrifugal force
In this range, the workpiece is
released in an uncon-
trolled manner.
To calculated the effective clamping force required for ma-
chining
𝐹
𝑠𝑝
, multiply the machining force
𝐹
𝑠𝑝𝑍
by the safety
factor
𝑆
𝑧
. This factor takes account of uncertainties in the
calculation of machining force. VDI 3106 states:
𝑆
𝑧
≥ 1.5
.
𝐹
𝑠𝑝0
= 𝐹
𝑠𝑝𝑧
∗ 𝑆
𝑧
[𝑁]