R
R
i
L
Sensor Systems
Geometry
The geometry of this sensor system corresponds to DIN
53018.
Calculation Equations:
a
Shear Stress :
The shear stress is proportional to the torque 'Md' and to
a geometric factor i.e. stress factor 'A'.
= A Md
The factor 'A' can be calculated as described by the following
equation:
A =
2 ⋅ π ⋅ Ri
It has the unit of an inverse volume.
Shear Rate
The shear rate
ity or speed and the shear factor 'M'.
.
= M ⋅ Ω
γ
The angular velocity is calculated according to 2π
from the speed n. The factor M is calculated:
The factor 'M' is calculated as follows:
2 ⋅ R
M =
2
R
a
Deformation :
The deformation is linearly linked to the angular deflection
and the geometry of a sensor system.
= M
(Stress Factor
1
2
⋅ L
.
:
γ
.
is proportionally linked to the angular veloc-
γ
2
a
2
-R
i
with = Torsion angle rad
is a dimensionless number
89
Torque)
*
[A] = 1
3
m
⋅ n
60