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kinematic pair : ウィキペディア英語版
kinematic pair

A kinematic pair is a connection between two bodies that imposes constraints on their relative movement. Franz Reuleaux introduced the kinematic pair as a new approach to the study of machines〔Reuleaux, F., 1876 ''The Kinematics of Machinery,'' (trans. and annotated by A. B. W. Kennedy), reprinted by Dover, New York (1963)〕 that provided an advance over the motion of elements consisting of simple machines.〔A. P. Usher, 1929, ''A History of Mechanical Inventions,'' Harvard University Press, (reprinted by Dover Publications 1968).〕
== Description ==
Kinematics is the branch of classical mechanics which describes the motion of points, bodies (objects) and systems of bodies (groups of objects) without consideration of the causes of motion. Kinematics as a field of study is often referred to as the "geometry of motion". For further detail, see Analytical dynamics.
Hartenberg & Denavit〔R. S. Hartenberg and J. Denavit (1964) (Kinematic synthesis of linkages ), pp 17-18, New York: McGraw-Hill.〕 presents the definition of a kinematic pair:
In the matter of connections between rigid bodies, Reuleaux recognized two kinds; he called them higher and lower pairs (of elements). With higher pairs, the two elements are in contact at a point or along a line, as in a ball bearing or disk cam and follower; the relative motions of coincident points are dissimilar. Lower pairs are those for which area contact may be visualized, as in pin connections, crossheads, ball-and socket joints and some others; the relative motion of coincident points of the elements, and hence of their links, are similar, and an exchange of elements from one link to the other does not alter the relative motion of the parts as it would with higher pairs.


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