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  2. Line representations in robotics - Wikipedia

    en.wikipedia.org/wiki/Line_representations_in...

    They model joint axes: a revolute joint makes any connected rigid body rotate about the line of its axis; a prismatic joint makes the connected rigid body translate along its axis line. They model edges of the polyhedral objects used in many task planners or sensor processing modules.

  3. Robotic arm - Wikipedia

    en.wikipedia.org/wiki/Robotic_arm

    It is a robot whose arm has at least three rotary joints. Parallel robot: One use is a mobile platform handling cockpit flight simulators. It is a robot whose arms have concurrent prismatic or rotary joints. Anthropomorphic robot: It is shaped in a way that resembles a human hand, i.e. with independent fingers and thumbs.

  4. Prismatic joint - Wikipedia

    en.wikipedia.org/wiki/Prismatic_joint

    A prismatic joint is a one-degree-of-freedom kinematic pair [1] which constrains the motion of two bodies to sliding along a common axis, without rotation; for this reason it is often called a slider (as in the slider-crank linkage) or a sliding pair. They are often utilized in hydraulic and pneumatic cylinders. [2]

  5. Chebychev–Grübler–Kutzbach criterion - Wikipedia

    en.wikipedia.org/wiki/Chebychev–Grübler...

    An example of a simple open chain is a serial robot manipulator. These robotic systems are constructed from a series of links connected by six one degree-of-freedom revolute or prismatic joints, so the system has six degrees of freedom. An example of a simple closed chain is the RSSR spatial four-bar linkage.

  6. Cartesian parallel manipulators - Wikipedia

    en.wikipedia.org/wiki/Cartesian_parallel...

    The first industrial robot, [1] Unimate, was invented in the 1950s. Its control axes correspond to a spherical coordinate system, with RRP joint topology composed of two revolute R joints in series with a prismatic P joint. Most industrial robots today are articulated robots composed of a serial chain of revolute R joints RRRRRR.

  7. Kinematic pair - Wikipedia

    en.wikipedia.org/wiki/Kinematic_pair

    Repeated joints may be summarized by their number; so that joint notation for the SCARA robot can also be written 2RP for example. Joint notation for the parallel Gough-Stewart mechanism is 6-UPS or 6(UPS) indicating that it is composed of six identical serial limbs, each one composed of a universal U, active prismatic P and spherical S joint.

  8. Industrial robot - Wikipedia

    en.wikipedia.org/wiki/Industrial_robot

    Cartesian robots, [5] also called rectilinear, gantry robots, and x-y-z robots [6] have three prismatic joints for the movement of the tool and three rotary joints for its orientation in space. To be able to move and orient the effector organ in all directions, such a robot needs 6 axes (or degrees of freedom).

  9. Product of exponentials formula - Wikipedia

    en.wikipedia.org/wiki/Product_of_exponentials...

    For each joint of the kinematic chain, an origin point q and an axis of action are selected for the zero configuration, using the coordinate frame of the base. In the case of a prismatic joint, the axis of action v is the vector along which the joint extends; in the case of a revolute joint, the axis of action ω the vector normal to the rotation.