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Theory of Machine - I
Mr. D. S. Dabhade
Assistant Professor
Department of Mechanical Engineering
MGM’S Jawaharlal Nehru Engineering College,
N- 6 CIDCO, Aurangabad – 431 003
Inversions of Four Bar Chain
1. Beam engine
(crank and lever mechanism)
when the crank rotates about the fixed
centre A
 lever oscillates about a fixed centre D.
 The end E of the lever CDE is connected
to a piston rod which reciprocates due
to the rotation of the crank
convert rotary motion into reciprocating
motion.
Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 2
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
3
Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 4
2. Coupling rod of a locomotive (Double crank mechanism)
 links AD and BC (having equal length) act as cranks
 link CD acts as a coupling rod
 link AB is fixed in order to maintain a constant centre to centre distance
Transmitting rotary motion from one wheel to the other wheel
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
5
3. Watt’s indicator mechanism
 fixed link at A, link AC, link CE and link BFD
 BF and FD form one link because these two
parts have no relative motion
 The displacement of the link BFD is directly
proportional to the pressure of gas
 Any small displacement of the mechanism,
the tracing point E at the end of the link CE
traces out approximately a straight line.
Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 6
Single Slider Crank Chain
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
7
 It consist of one sliding pair and three turning pairs
 the links 1 and 2, links 2 and 3, and links 3 and 4 form three turning pairs
while the links 4 and 1 form a sliding pair
 Converts rotary motion into reciprocating motion and vice versa.
Inversions of Single Slider Crank Chain
1. Pendulum pump or Bull engine –
 cylinder or link 4 (i.e. sliding pair)
 when the crank (link 2) rotates,
connecting rod (link 3) oscillates
Piston attached to the piston rod (link 1)
reciprocates
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
8
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
9
2. Oscillating cylinder engine
convert reciprocating motion into rotary
motion.
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
10
3. Rotary internal combustion engine
or Gnome engine.
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
11
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
12
Inversions of Double Slider Crank Chain
A kinematic chain consists of two turning pairs and two sliding pairs
1. Elliptical trammels –
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
13
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
14
2. Scotch yoke mechanism.
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
15
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
16
3. Oldham’s coupling
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
17
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
18
Thank You
Mr.D.S.Dabhade( Assistant Professor,
MGM'S JNEC,Aurangabad)
19

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Inversions of kinematic chains tom1

  • 1. Theory of Machine - I Mr. D. S. Dabhade Assistant Professor Department of Mechanical Engineering MGM’S Jawaharlal Nehru Engineering College, N- 6 CIDCO, Aurangabad – 431 003
  • 2. Inversions of Four Bar Chain 1. Beam engine (crank and lever mechanism) when the crank rotates about the fixed centre A  lever oscillates about a fixed centre D.  The end E of the lever CDE is connected to a piston rod which reciprocates due to the rotation of the crank convert rotary motion into reciprocating motion. Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 2
  • 4. Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 4 2. Coupling rod of a locomotive (Double crank mechanism)  links AD and BC (having equal length) act as cranks  link CD acts as a coupling rod  link AB is fixed in order to maintain a constant centre to centre distance Transmitting rotary motion from one wheel to the other wheel
  • 6. 3. Watt’s indicator mechanism  fixed link at A, link AC, link CE and link BFD  BF and FD form one link because these two parts have no relative motion  The displacement of the link BFD is directly proportional to the pressure of gas  Any small displacement of the mechanism, the tracing point E at the end of the link CE traces out approximately a straight line. Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 6
  • 7. Single Slider Crank Chain Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 7  It consist of one sliding pair and three turning pairs  the links 1 and 2, links 2 and 3, and links 3 and 4 form three turning pairs while the links 4 and 1 form a sliding pair  Converts rotary motion into reciprocating motion and vice versa.
  • 8. Inversions of Single Slider Crank Chain 1. Pendulum pump or Bull engine –  cylinder or link 4 (i.e. sliding pair)  when the crank (link 2) rotates, connecting rod (link 3) oscillates Piston attached to the piston rod (link 1) reciprocates Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 8
  • 10. 2. Oscillating cylinder engine convert reciprocating motion into rotary motion. Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 10 3. Rotary internal combustion engine or Gnome engine.
  • 13. Inversions of Double Slider Crank Chain A kinematic chain consists of two turning pairs and two sliding pairs 1. Elliptical trammels – Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 13
  • 15. 2. Scotch yoke mechanism. Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 15
  • 17. 3. Oldham’s coupling Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 17
  • 19. Thank You Mr.D.S.Dabhade( Assistant Professor, MGM'S JNEC,Aurangabad) 19