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  2. Chebychev–Grübler–Kutzbach criterion - Wikipedia

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

    A single unconstrained body soaring in 3-space has 6 degrees of freedom: 3 translational (say, x,y,z); and 3 rotational (say, roll, pitch, yaw). So a system of n {\displaystyle n} unconnected rigid bodies moving in space (a flock of n {\displaystyle n} soaring seagulls) has 6 n {\displaystyle 6n} degrees of freedom measured relative to a fixed ...

  3. Six-bar linkage - Wikipedia

    en.wikipedia.org/wiki/Six-bar_linkage

    Six-bar linkage from Kinematics of Machinery, 1876. In mechanics, a six-bar linkage is a mechanism with one degree of freedom that is constructed from six links and seven joints. [1] An example is the Klann linkage used to drive the legs of a walking machine. In general, each joint of a linkage connects two links, and a binary link supports two ...

  4. Kinematics - Wikipedia

    en.wikipedia.org/wiki/Kinematics

    [4] [5] [6] A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system. Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined.

  5. Six degrees of freedom - Wikipedia

    en.wikipedia.org/wiki/Six_degrees_of_freedom

    This provides a direct relationship between actuator positions and the configuration of the manipulator defined by its forward and inverse kinematics. Robot arms are described by their degrees of freedom. This is a practical metric, in contrast to the abstract definition of degrees of freedom which measures the aggregate positioning capability ...

  6. Paden–Kahan subproblems - Wikipedia

    en.wikipedia.org/wiki/Paden–Kahan_subproblems

    Paden–Kahan subproblems are a set of solved geometric problems which occur frequently in inverse kinematics of common robotic manipulators. [1] Although the set of problems is not exhaustive, it may be used to simplify inverse kinematic analysis for many industrial robots. [2] Beyond the three classical subproblems several others have been ...

  7. 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 .

  8. Sexual abuser financially manipulated victims - AOL

    www.aol.com/sexual-abuser-financially...

    A sex offender who police said tried to "financially and emotionally manipulate" his victims has been jailed for 25 years. Stephen Gallagher, of Normandy Avenue in Colchester, was found guilty by ...

  9. Kinematics equations - Wikipedia

    en.wikipedia.org/wiki/Kinematics_equations

    The second called inverse kinematics uses the position and orientation of the end-effector to compute the joint parameters values. Remarkably, while the forward kinematics of a serial chain is a direct calculation of a single matrix equation, the forward kinematics of a parallel chain requires the simultaneous solution of multiple matrix ...