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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 ...
The motion of the linkage can be constrained to an input angle that may be changed through velocities, forces, etc. The input angles can be either link L 2 with the horizontal or link L 4 with the horizontal. Regardless of the input angle, it is possible to compute the motion of two end-points for link L 3 that we will name A and B, and the ...
N = 2, j = 1: this is a two-bar linkage known as the lever; N = 4, j = 4: this is the four-bar linkage; N = 6, j = 7: this is a six-bar linkage [ it has two links that have three joints, called ternary links, and there are two topologies of this linkage depending how these links are connected. In the Watt topology, the two ternary links are ...
The coupler (link 3) point stays within 1% positional tolerance while intersecting the ideal straight line 6 times. 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.
However, if one of the joints is a slider, then two bars of the linkage and the base that supports the slider form a triangle. This leads to the question of where is the fourth bar in a slider-crank linkage. This is answered by recognizing that each bar of a four-bar linkage is a physical body that supports two joints.
These links are usually oriented 180 degrees of each other, so when pairing, these links can be fused. This creates a 4-bar linkage with two additional links, both of which are defined by the original four-bar linkage. The former ground link of the fusing 4-bar linkage becomes a rectilinear link that travels follows the same coupler curve.
Link 1 (distance between ground joints): 2a. 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]
Construction of the moving centrode for a 4-bar linkage: The cyan link indicates the link the centrode (orange) is drawn relative to. An additional diagram is shown on the right to show the cyan link fixed in place for reference.