40. Robots degrees of freedom
• Degrees of Freedom: Number of
independent position variables which
would has to be specified to locate all
parts of a mechanism.
• In most manipulators this is usually the
number of joints.
41. Fig. 1.3 A Fanuc P-15 robot.
Reprinted with permission from Fanuc Robotics, North America, Inc.
Consider what is the degree of Fig. 3
1 D.O.F. 2 D.O.F. 3 D.O.F.
ROBOTS DEGREES OF FREEDOM
42. Degrees of Freedom
VS
Degrees of freedom (DOF) is a term used to describe a robot’s freedom of motion in
three dimensional space— specifically, the ability to move forward and backward, up
and down, and to the left and to the right. For each degree of freedom, a joint is
required.
A robot requires six degrees of freedom to be completely versatile.
59. PERFORMANCE PARAMETERS :ACCURACY & REPEATABILITY
• Repeatability - is how well the robot will
return to a programmed position. This is not
the same as accuracy. It may be that when
told to go to a certain X-Y-Z position that it
gets only to within 1 mm of that position. This
would be its accuracy which may be improved
by calibration. But if that position is taught
into controller memory and each time it is
sent there it returns to within 0.1mm of the
taught position then the repeatability will be
within 0.1mm.
•Accuracy – is how closely a robot can reach a
commanded position.
•When the absolute position of the robot is measured
and compared to the commanded position the error is a
measure of accuracy.
•Accuracy can be improved with external sensing for
example a vision system or Infra-Red. See robot
calibration.
• Accuracy can vary with speed and position within the
working envelope and with payload (see compliance).
60. RESOLUTION
• Resolution The resolution of a robot is a feature
determined by the design of the control unit and is
mainly dependent on the position feedback sensor.
• It is important to distinguish the programming
resolution from the control resolution.
• The programming resolution is the smallest
allowable position increment in robot programs and
is referred to as the basic resolution unit (BRU).
• For IRB2000 ABB robot it is approximately 0,125 mm
on linear axis.
• The control resolution is the smallest
change in position that the feedback
device can sense.
• For example, assume that an optical
encoder which emits 1000 pulses per
revolution of the shaft is directly
attached to a rotary axis. This encoder
will emit one pulse for each of 0,36° of
angular displacement of the shaft.
• The unit 0,36° is the control resolution
of this axis of motion.
64. ROBOT REFERENCE FRAMES
Fig. 1.6 A robot’s World, Joint, and Tool
reference frames.
Most robots may be programmed
to move relative to either of these
reference frames.