Model: M02 Simple Kinematic Screw Chain
Reuleaux’ taxonomy for kinematic mechanisms is based on the ideas of motion constraints between two bodies called a kinematic pair and the closed circuit of such constraints called a kinematic chain. Model A-1 is an example of a screw constraint between two bodies, Models M-1, M-2 and M-3 provide examples of simple, closed, kinematic chains using the screw pair.

In models M-1, M-2 and M-3, a screw is fixed to the base and two other bodies are joined with it to form a closed kinematic circuit that allows the motion of one other body when the motion of the other is prescribed. In Model M-1, the three bodies are coupled with three screw pairs. In Model M-2 there are two screw pairs and one revolute pair of constraints. In Model M-3, there is one screw pair coupled to one revolute and one prismatic or sliding pair. In all three models the mechanism can be removed from the wooden base and the cylindrical body with the two bosses affixed to the stand H-1 to obtain further inversions of each kinematic chain. The closed screw kinematic mechanism has been used for centuries as a 'screw jack' to lift heavy objects.

Francis Moon 2004-07-00

Reference :

  • Reuleaux, Kennedy : Kinematics of Machinery (§107, Fig. 291, pp. 438-441, Dover Edition, 1963; § 151, Fig. 382-385, pp. 546-547, 1876)