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16275-D02
LTS Series Long Travel Stages
is decelerated at ‘
a’
so that the final position is approached slowly in a controlled
manner
.
Fig. 7.4 Graph of a trapezoidal velocity profile
The
S-curve
profile is a trapezoidal curve with an additional '
Bow Value
' parameter,
which limits the rate of change of acceleration and smooths out the contours of the
motion profile. The
Bow Value
is applied in mm/s
3
and is derived from the Bow Index
field as follows:
Bow Value = 2
(Bow Index -1)
within the range 1 to 262144 (Bow Index 1 to 18).
In this profile mode, the acceleration increases gradually from 0 to the specified
acceleration value, then decreases at the same rate until it reaches 0 again at the
specified velocity. The same sequence in reverse brings the axis to a stop at the
programmed destination position.
Example
Fig. 7.5 Typical S-Curve Profile
The figure above shows a typical S-curve profile. In segment (1), the S-curve profile
drives the axis at the specified Bow Index (BI) until the maximum acceleration (A) is
reached. The axis continues to accelerate linearly (Bow Index = 0) through segment
(2). The profile then applies the negative value of Bow Index to reduce the
acceleration to 0 during segment (3). The axis is now at the maximum velocity (V), at
which it continues through segment (4). The profile then decelerates in a similar
velocity
maximum
velocity (v)
time
acceleration (slope) a
BI
BI
A
D
-BI
-BI
V
V
elocit
y
1
2
3
4
5
6
7
A -
acceleration
D -
deceleration
V -
velocity
BI -
bow index