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FOUR-BAR LINKAGE CURVE
 

A four-bar linkage curve is the locus of a point M of an articulated quadrilateral (APMQB), A and B being fixed, P and Q having given motions. The four "bars" are [AP] and [BQ] (the cranks), and [PM] and [QM] (the connecting rods).

With AP=a, BP=b,PM=p and QM=q, the curves are traced in the area delimited by the circles with centres A and radii a+p and ap, and the circles with centres B and radii b+q and bq.

Above, the cranks have a uniform circular motion, with a = 2b  = AB, the ratio of the angular speeds of P and Q being 5/3 and with p = q = 2a.

The middle of [PQ] describes a very smooth centred trochoid, in contrast to the chaotic movement of M, even if p = q.

See also the three-bar linkage curve.
 
 
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© Robert FERRÉOL 2017