Galil DMC-2X00 User Manual

Page 257

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10000

20000

20000

10000

Y

C

D

B

A

X

Figure A-21 - X-Y Motion Path

The first line describes the straight line vector segment between points A and B. The next segment is a
circular arc, which starts at an angle of 180

° and traverses -90°. Finally, the third line describes the

linear segment between points C and D. Note that the total length of the motion consists of the
segments:

A-B

Linear

10000

units

B-C

Circular

R

Δ

θ π

2

360

= 15708

C-D

Linear

10000

Total

35708

counts

In general, the length of each linear segment is

L

Xk

Yk

k

=

+

2

2

Where Xk and Yk are the changes in X and Y positions along the linear segment. The length of the
circular arc is

L

R

k

k

k

=

ΔΘ 2 360

π

The total travel distance is given by

D

L

k

k

n

=

=

1

The velocity profile may be specified independently in terms of the vector velocity and acceleration.

DMC-2X00

Appendices

y 247

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