Understanding Robot Kinematics: Parameters, Joints, and Links
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Robot Kinematics
Euler’s Rotation Theorem
Any rigid body motion that leaves one point fixed can be represented by a single rotation about an axis through the fixed point.
Chasles’ Theorem
Any rigid body motion is the translation of a designated point & a rotation of the whole body about that point.
Kinematic Parameters
These parameters are associated with the kinematic configuration of each link and joint of the robot arm. There are four main kinematic parameters:
Joint Parameters
The relative position and orientation of two successive links can be specified by two joint parameters:
- Joint Angle (θk): The amount of rotation about zk-1 so that Xk-1 is parallel to Xk.
- Joint Distance (dk): The amount of translation along the Zk-1 needed to make