Page 282 - Concise Encyclopedia of Robotics
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Revolute Geometry
                              Reverse engineering, when done legally, is important in the evolution
                            of new and improved robotic systems. In research and development, it
                            can be a valuable technique in hardware design, programming, and the
                            development of operating systems for robot controllers.
                         REVOLUTE GEOMETRY
                            Industrial robot arms can move in various different ways, depending on
                            their intended use. One mode of movement is known as revolute geometry.
                              The illustration shows a robot arm capable of moving in three dimen-
                            sions (3-D) using revolute geometry.The entire assembly can rotate through
                            a full circle (360°) at the base. There is an elevation joint, or “shoulder,”
                            that can move the arm through 90°, from horizontal to vertical. One or
                            two joints in the middle of the robot arm, called “elbows,” can move
                            through 180°, from a straight position to doubled back.As an option, there
                            can be a “wrist” that freely rotates either clockwise or counterclockwise.
                              A well-designed revolute robot arm can reach any point within a half-
                            sphere having the shape of an inverted bowl. The radius of the half-sphere
                            is the length of the arm when its shoulder and elbow(s) are straightened
                            out. Compare  CARTESIAN COORDINATE GEOMETRY,  CYLINDRICAL COORDINATE GEOMETRY,
                            POLAR COORDINATE GEOMETRY, and SPHERICAL COORDINATE GEOMETRY.
                                           Elbow 1
                                           rotation
                                                                   Elbow 2
                                                                   rotation

                            Shoulder
                            rotation





                                                         Wrist
                                                         rotation



                                                   Base
                                                   rotation

                            Revolute geometry



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