Bosch PIN8 N1 Guia de Resolução de Problemas Página 498

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8-66 Drive Functions MPH-02, MPB-02, MPD-02
DOK-INDRV*-MP*-02VRS**-FK01-EN-P
Gradient of the straight line:
∑∑
∑∑
×
×××
=
)²(²
)(
__
__
nactnact
knnactknnact
xxn
xxxxn
a
n: number of measured values
x
act_n
: actual position at which a correction value x
kn
was measured
x
kn
: correction value at x
act_n
Fig. 8-55: Auxiliary equation 1 for determining reference point
Intersection point of straight line and correction value axis (x
k
):
∑∑
∑∑
=
)²(²
)(²
__
___
nactnact
knnactnactnactkn
xxn
xxxxx
b
n: number of measured values
x
act_n
: actual position at which a correction value x
kn
was measured
x
kn
: correction value at x
act_n
Fig. 8-56: Auxiliary equation 2 for determining reference point
Measured errors at T
act
= 45°C (reference temperature T
0
= 23°C):
nX
act_n
(actual position val. 1)
in mm
x
kn
(error) in mm
1 +10.0000 -0.0300
2 +70.0000 +0.0100
3 +105.0000 +0.0250
Fig. 8-57: Example of a series of measurements for temperature correction
Resulting measuring points: P = [X = X
act_n
; X = x
kn
]
P1 = [+10.0mm;-0.03mm]
P2 = [+70.0mm;+0.01mm]
P3 = [+105.0mm;+0.025mm]
n = 3
Partial sums for auxiliary equations:
=++=
=++=
=++=
+=++=
22
_
22
_
_
025.3)625.27.03.0(
16025²)105²70²10(²
0.185)0.1050.700.10(
005.0)025.001.003.0(
mmmmxx
mmmmx
mmmmx
mmmmx
knnact
nact
nact
kn
Fig. 8-58: Partial sums for auxiliary equations
0005884.0
2
13850
2
15.8
2
)0.185(
2
16025*3
005.0*0.185
2
025.3*3
==
=
mm
mm
mmmm
mmmmmm
a
Fig. 8-59: Auxiliary equation 1
Example
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