Elmomc Multi-Axis Motion Controller-Maestro Motion Contro Manual de usuario Pagina 34

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Motion Library Tutorial Switch Radius Calculation
MAN-MLT (Ver 2.0)
2-13
Figure
2-7
This condition is not always sufficient. Adequacy depends on arc and line lengths. If the
circle’s center projection on the line
L belongs to the line segment (P
1
L) and an
intersection point of the continued perpendicular with the circle arc belonging to the
circle segment
P
2
C then (2.2.1.2-1) is sufficient.
If projection of the circle init point
P
1
belongs to the line segment - P
5
L (Figure 2-
8), use the following proportion
h/r = ρ(P
3
, O
c
)/[ρ(P
1
, P
3
) – r] = ρ
1
/(ρ
2
– r) (2.2.1.2-2)
where P
3
is the point of intersection of the line (P
1
,O
c
) with the line L. As init point of
the circle
P
1
and a circle center are known, P
3
can be determined. The length h of the
perpendicular dropped from the circle center
O
c
on the line L can be also found by
(2.2.1.2-4) or another method.
From (2.2.1.2-2) the results are
hρ
2
– hr = rρ
1
=>
r = hρ
2
/(ρ
1
+ h) (2.2.1.2-3)
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