Theory of MachinesMechanical Engineering

Classification of Kinematic Pairs and Its Applications

Classification of Kinematic Pairs

According to nature of contact

  • Lower pair: : A pair of links having surface or area contact between the member.
    e.g. nut turning on a screw, shaft rotating in a bearing, all pairs of slider-crank mechanisms.
  • Higher pair: : When a pair has point or line contact between the links, it is known as higher pair.
    e.g. wheel rolling on a surface, cam and follower pair.
  • Higher pair involves two dissimilar surface contact.

According to Nature of Mechanical Constraint

  • Closed pair: When the elements of pair are held mechanically mechanically, it is known as closed pair.
  • The contact between the two can be broken by only destruction of at least one of the members.
  • All lower pairs are closed pair.
  • Open (unclosed pair): : When two links of a pair are in contact either due to force of gravity or some spring action.
    e.g. cam follower.

According to Nature of Relative Motion

  • Sliding pair: If two links have sliding motion relative to each other, they form sliding pair e.g. A rectangular rod in a rectangular hole in a prism.
  • Turning pair: When one link has a turning or revolving motion relative to the other, they constitute a turning or revolving pair. e.g. circular shaft revolving in a bearing.
  • Rolling pair: When the links of pair have rolling motion relative to each other, they form a rolling pair, e.g. Rolling wheel on a flat surface, ball and roller bearing.
  • Screw pair (Helical): If two mating links have turning as well as sliding motion between them, form a screw pair e.g. lead screw, nut of lathe.
  • Spherical pair: When one link in the form of a sphere turns inside a fixed link, it is a spherical pair e.g. ball in socket

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