Configuration
5.3 Examples
Table 5- 2
Section I
α
(t) = α
I
ω
(t) = α t
I
φ
(t) = ½ α t
I
The angular acceleration α (t) is constant section by section. In the first section, the angular
velocity ω (t) increases linearly up to the maximum value, and then in the second section,
linearly down to standstill.
The angle of rotation φ (t) passed through increases in section I and in section II according
to parabolic functions. This type of traversing profile allows the shortest positioning times.
The required constant angular acceleration or angular deceleration can be calculated from
the defined final angle φ
momentary transitional phases between acceleration/deceleration and the resulting angle
changes are not taken into account.
Since the areas below the curves for ω (t) are the same in both sections, the following
applies:
The angular velocity ω
acceleration:
90
Functions of the individual sections in the traversing profile
Section II
α
(t) = - α
II
ω
(t) = - α t + α t
II
φ
(t) = - ½ α t
2
II
and the associated instant in time t
MAX
reached at instant ½ t
MAX
1
+ α t
t - φ
2
1
MAX
1
is determined from the calculated angular
1
Naturally cooled 1FW6 built-in torque motors
Configuration Manual, 07/2017, 6SN1197-0AE01-0BP3
. For the sake of simplicity,