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  2. Denavit–Hartenberg parameters - Wikipedia

    en.wikipedia.org/wiki/Denavit–Hartenberg...

    The system of six joint axes S i and five common normal lines A i,i+1 form the kinematic skeleton of the typical six degree-of-freedom serial robot. Denavit and Hartenberg introduced the convention that z-coordinate axes are assigned to the joint axes S i and x-coordinate axes are assigned to the common normals A i,i+1.

  3. Line representations in robotics - Wikipedia

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

    Line representations in robotics are used for the following: 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.

  4. 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.

  5. Kinematics equations - Wikipedia

    en.wikipedia.org/wiki/Kinematics_equations

    The kinematics equations of serial and parallel robots can be viewed as relating parameters, such as joint angles, that are under the control of actuators to the position and orientation [T] of the end-effector. From this point of view the kinematics equations can be used in two different ways.

  6. Robot kinematics - Wikipedia

    en.wikipedia.org/wiki/Robot_kinematics

    The robot Jacobian results in a set of linear equations that relate the joint rates to the six-vector formed from the angular and linear velocity of the end-effector, known as a twist. Specifying the joint rates yields the end-effector twist directly. The inverse velocity problem seeks the joint rates that provide a specified end-effector twist.

  7. Forward kinematics - Wikipedia

    en.wikipedia.org/wiki/Forward_kinematics

    In robot kinematics, forward kinematics refers to the use of the kinematic equations of a robot to compute the position of the end-effector from specified values for the joint parameters. [ 1 ] The kinematics equations of the robot are used in robotics , computer games , and animation .

  8. Common normal (robotics) - Wikipedia

    en.wikipedia.org/wiki/Common_normal_(robotics)

    A model of a robotic arm with joints. In robotics the common normal of two non-intersecting joint axes is a line perpendicular to both axes. [1]The common normal can be used to characterize robot arm links, by using the "common normal distance" and the angle between the link axes in a plane perpendicular to the common normal. [2]

  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.