Changes between Version 3 and Version 4 of Burt-Research/KinematicsJointRangesConversionFactors
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- Dec 5, 2017, 5:32:33 PM (7 years ago)
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Burt-Research/KinematicsJointRangesConversionFactors
v3 v4 1 1 = Kinematics, Transmission Ratios, and Joint Ranges = 2 2 3 == Kinematics == 4 5 * The robot has 3 joints: J1, J2, and J3, shown below. J1 rotates about Z0, J2 rotates about Z1, and J3 rotates about Z2. 6 * J3 is able to change between left- and right-hand configurations, denoted J3L and J3R, respectively. 7 * J1 and J2 are part of a cable differential system. 8 3 9 A good introduction to coordinate frames, transformations and kinematics is beyond the scope of this document. There are several good introductory robotics books available. We recommend Spong, M.; Hutchinson, S.; Vidyasagar, M. Robot Modeling and Control; 2006 John Wiley & Sons as we use the variant of the Denavit-Hartenberg (D-H) method that is from this book to establish the coordinate frames. 10 11 12 === D-H parameters === 4 13 5 14 D-H frames are defined roughly as shown in Figure 1 when the robot is in its zero position (NOT the robot’s home position). Note that the joint range of Joint 3 (Table 2) prevents BURT from actually reaching this position. Frames 0 and 1 are located at the intersection of the J1 and J2 axes. Frame 2 is coincident to the J3 axis. The frame 3 origin is coincident to the center of the haptic ball when it points straight up. The D-H parameters do not change between left- and right-handed configurations. However, the configuration files do contain separate world-to-base transforms for each configuration. These transforms define the origin of the world frame to be at the user’s sternum, 540 mm from the X1-Z1 plane along Z0. The diagram shows the locations of the world origin in left-handed and right-handed robot configurations. A positive joint motion is based on the right hand rule for each axis.