Kinematic pair

IS0 3951

Pair with:

one degree of freedom: Revolute pair / Turning pair,  Prismatic pair,   Screw pair / Helical pair.
two degrees of freedom: Cylindrical pair , Spherical pair with pin.
three degrees of freedom: Spherical pair.Planar contact pair.
four degrees of freedom: Ball-and-cylinder pair.Cylinder-and-plane pair
five degrees of freedom:  Ball-and-plane pair.
zero degree of freedom  Permanent connection of link component

 

Pair with one degree of freedom

Revolute pair; Turning pair

  Joint of two links permitting rotational motion of one link relative to the other

 

Motions

  T R
X 0

RX

Y 0 0
Z 0 0

Prismatic pair

  Joint of two links permitting rectilinear translation   of one link relative to the other

 

Motions

  T R
X TX

0

Y 0 0
Z 0 0

Screw pair; Helical pair

  Joint of two links permitting Helical motion (with constant pitch)of  one link relative to the other

 

Motions

  T R
X TX

RX*

Y 0 0
Z 0 0

Rx = Tx.2p /p p=pas

bouton.jpg (2623 octets)

Pair with two degrees of freedom

Cylindrical pair

  Joint of two links permitting rotational motion of one link relative to the other

 

Motions

  T R
X TX

RX

Y 0 0
Z 0 0

Spherical pair with pin

  Joint of two links permitting rotations about two intersecting axes

 

Motions

  T R
X 0

0

Y 0 RY
Z 0 RZ

bouton.jpg (2623 octets)

Pair with three degrees of freedom

Spherical pair

  Joint of two links permitting spherical motion of one link relative to the other.

 

Motions

  T R
X 0

RX

Y 0 RY
Z 0 RZ

Planar contact pair

  Joint of two links permitting general planar motion of one link relative to the other.

 

Motions

  T R
X TX 0
Y 0 RY
Z TZ 0

bouton.jpg (2623 octets)

Pair with four degrees of freedom

Ball-and-cylinder pair

  Joint of two links made up of a ball within a cylinder.

 

Motions

  T R
X TX RX
Y 0 RY
Z 0 RZ

Cylinder-and-plane pair

  Joint of two links made up of a cylinder and a plane.

 

Motions

  T R
X TX RX
Y 0 RY
Z TZ 0

bouton.jpg (2623 octets)

Pair with five degrees of freedom

Ball-and-plane pair

  Joint of two links made up of a ball and a plane.

 

Motions

  T R
X TX RX
Y 0 RY
Z TZ RZ

bouton.jpg (2623 octets)

Pair with zero degree of freedom

 

 

Permanent connection of link component

 

SE.gif (234 octets)  

Motions

  T R
X 0 0
Y 0 0
Z 0 0

enc.gif (14554 octets)

bouton.jpg (2623 octets)