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page 746

41. ROBOTIC MECHANISMS

41.1 KINEMATICS

A robot must be able to map between things that it can control, such as joint angles, to the position of the tool in space.

Describing the position of the robot in terms of joint positions/angles is Joint Space.

Real space is often described with a number of coordinate systems,

-cartesian

-polar

-spherical

Positions can also be specified with respect to the robot base (Robot Coordinates), or globally (World Coordinates).

41.1.1 Basic Terms

link/joint coordinates

tool coordinates

base coordinates

Robot base coordinates don’t move and are often used to specify robot tool position and orientation. (centre of the robots world)

Link/Joint Coordinates - specify where joints, endpoints or centers are located.

Tool coordinates - determine where the tool is and what orientation it is in.

World Coordinates - relates various robots to other robots and devices.

Coordinate transformation - Can map from one set of coordinates to another. Most common method is matrix based. One special case of this is the Denavit-Hartenrberg transformation.

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