R + r) – ElmoMC Multi-Axis Motion Controller-Maestro Motion Control User Manual

Page 56

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Motion Library Tutorial

Switch Radius Calculation

MAN-MLT (Ver 2.0)

2-35

(X2 + 65000)

2

+ (– 35000)

2

= 100000

2

that produces X2 = -158675.

d = |X2 – X1| = 118675;

C1 = -1.0

C2 = 0

C3 = 25000

C4 = -35000

C6 = 150000

C7 = -8150000000

r = 54333.3333

Figure

2-30

Figure 2-31 shows when the line connecting circle C

1

init point (X

1

,Y

1

) and its center

point do not intersect circle C

2

. To define the maximum value of the switch radius r, use

the following system of equations:

(X

o

– X

1

)/(X

c1

– X

1

) = r/R

1

(2.3.1-27)

(Y

o

– Y

1

)/(Y

c1

– Y

1

) = r/R

1

(2.3.1-28)

(X

o

– X

c2

)

2

+ (Y

o

– Y

c2

)

2

= (r + R)

2

(2.3.1-29)

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