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The former ground link of the fusing 4-bar linkage becomes a rectilinear link that travels follows the same coupler curve. Each of these paired six-bar cognate linkages can also be converted into another cognate linkage by flipping the linkage over, and switching the roles of the rectilinear link and the ground link.
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The linkage was first shown in Paris on the Exposition Universelle (1878) as "The Plantigrade Machine". [5] [3] The Chebyshev Lambda Linkage is a cognate linkage of the Chebyshev linkage. The Chebyshev Lambda Linkage is used in vehicle suspension mechanisms, walking robots, and rover wheel mechanisms.
The Scott Russell linkage (1803) translates linear motion through a right angle, but is not a straight line mechanism in itself. The Grasshopper beam/Evans linkage, an approximate straight line linkage, and the Bricard linkage, an exact straight line linkage, share similarities with the Scott Russell linkage and the Trammel of Archimedes.
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If we distinguish folding quadrilateral linkage, then there are 27 different cases. [3] The figure shows examples of the various cases for a planar quadrilateral linkage. [4] Types of four-bar linkages, s: shortest link, l: longest link. The configuration of a quadrilateral linkage may be classified into three types: convex, concave, and crossing.
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]