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  2. Four-bar linkage - Wikipedia

    en.wikipedia.org/wiki/Four-bar_linkage

    In the study of mechanisms, a four-bar linkage, also called a four-bar, is the simplest closed-chain movable linkage. It consists of four bodies, called bars or links, connected in a loop by four joints. Generally, the joints are configured so the links move in parallel planes, and the assembly is called a planar four-bar linkage. Spherical and ...

  3. Linkage (mechanical) - Wikipedia

    en.wikipedia.org/wiki/Linkage_(mechanical)

    Linkage mobility Locking pliers exemplify a four-bar, one degree of freedom mechanical linkage. The adjustable base pivot makes this a two degree-of-freedom five-bar linkage . It is common practice to design the linkage system so that the movement of all of the bodies are constrained to lie on parallel planes, to form what is known as a planar ...

  4. Cognate linkage - Wikipedia

    en.wikipedia.org/wiki/Cognate_linkage

    In case of four-bar linkage coupler cognates, the Roberts–Chebyshev Theorem, after Samuel Roberts and Pafnuty Chebyshev, [1] states that each coupler curve can be generated by three different four-bar linkages. These four-bar linkages can be constructed using similar triangles and parallelograms, and the Cayley diagram (named after Arthur ...

  5. Chebyshev lambda linkage - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_Lambda_Linkage

    A Chebyshev Translating Table Linkage, which combines together two cognate linkages: the Chebyshev Linkage and Chebyshev Lambda Linkage. In kinematics , the Chebyshev Lambda Linkage [ 1 ] is a four-bar linkage that converts rotational motion to approximate straight-line motion with approximate constant velocity. [ 2 ]

  6. Burmester's theory - Wikipedia

    en.wikipedia.org/wiki/Burmester's_theory

    Two cranks designed in this way form the desired four-bar linkage. This formulation of the mathematical synthesis of a four-bar linkage and the solution to the resulting equations is known as Burmester Theory. [3] [4] [5] The approach has been generalized to the synthesis of spherical and spatial mechanisms. [6]

  7. Chebyshev linkage - Wikipedia

    en.wikipedia.org/wiki/Chebyshev_linkage

    Link 1 (horizontal distance between ground joints): 4a Illustration of the limits. In kinematics, Chebyshev's linkage is a four-bar linkage that converts rotational motion to approximate linear motion. It was invented by the 19th-century mathematician Pafnuty Chebyshev, who studied theoretical problems in kinematic mechanisms.

  8. 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.

  9. Hoecken linkage - Wikipedia

    en.wikipedia.org/wiki/Hoecken_linkage

    In kinematics, the Hoecken linkage (named for Karl Hoecken) [1] is a four-bar linkage that converts rotational motion to approximate straight-line motion. The Hoecken linkage is a cognate linkage of the Chebyshev linkage and Chebyshev's Lambda Mechanism. The linkage was first published in 1926. [2] [3]