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INVERSIONS
SHUBHAM KULSHRESTHA
ME
B.1
1206440105
INVERSIONS OF FOUR BAR
CHAIN MECHANISM
Inversion means getting different mechanism by
fixing different links of four bar chain mechanism
1 inversion – this inversion is obtained by fixing 1st
link
2nd link acts as a crank
3rd link is acts as a coupler
4th link acts as a rocker
1 INVERSION
2nd inversion
• By fixing 2 link the second inversion is
obtained in which
• 1 & 3 link acts as a crank
• Link 4 acts as a coupler
• The mechanism so obtained is known as
crank-crank or double crank
3rd inversion
• By fixing link 3 the 3rd inversion is obtained in
which
• Link 1 acts as a coupler
• Link 2 acts as a crank
• Link 4 acts as a rocker
4th inversion
• By fixing 4 link the 4th inversion is obtained in
which
• Link 1 & 3 acts as a rocker
• Link 2 acts as coupler
SLIDER CRANK CHAIN
• WHEN ONE OF THE TURNING PAIRS OF A
FOUR BAR CHAIN IS REPLACED BY A SLIDING
PAIR, IT BECOMES A SLIDER CRANK
MECHANISM
INVERSION OF SLIDER CRANK
MECHANISM
• FIRST INVERSION
• THIS INVERSION IS OBTAINED WHENLINK 1 IS
FIXED WHERE
• LINK 2 ACTS AS A CRANK
• LINK 4 ACTS AS A SLIDER
SECOND INVERSION
• THIS INVERSION IS OBTAINED WHEN LINK 2nd
IS FIXED
• LINK 3 ALONG WITH THE SLIDER ACTS AS A
CRANK
APPLICATIONS ARE-1.WHITWORTH
QUICK –RETURN MECHANISM
2.ROTARY ENGINE
• IT IS A MECHANISM USED IN WORKSHOPS TO
CUT METALS
• FORWARD STROKES TAKES A LITTLE LONGER
AND CUTS TWHITWORTH QUICK –RETURN
MECHANISMH METAL WHEREAS THE RETURN
STROKE IS IDLE AND TAKES A SHORTER TIME
ROTARY ENGINE
• LINK 2 IS FIXED
• LINK 3 IS ROTATED DUE TO PISTON
MOVEMENT
• DUE TO THE ROTATION OF LINK 3 ,LINK 1
ROTATES ABOUT O
ROTARY ENGINE
THIRD INVERSION
• THIS INVERSION IS OBTAINED WHEN LINK 3 IS
FIXED
• LINK 2 ACTS AS A CRANK
• LINK 4 ACTS AS A ROCKER OR OSCILLATOR
• LINK 1 ACTS AS A COUPLER
OSCILLATING CYLINDER ENGINE
• LINK 4 IS MADE IN THE FORM OF CYLINDER
• PISTON IS FIXED TO THE END OF LINK1
• THE PISTON RECIPROCATES INSIDE THE
CYLINDER PIVOTED TO THE LINK 3
• WHEN THE PISTON RECIPROCATES IN THE
CYLINDER ,THE CRANK ROTATES
OSCILLATING CYLINDER ENGINE
CRANK AND SLOTTED LEVER
MECHANISM
• IF THE CYLINDER OF AN OSCILLATING CYLINDER ENGINE IS
MADE IN THE FORM OF A GUIDE AND THE PISTON IN THE
SLIDER
• LINK 3 IS FIXED
• LINK 2 ACTS AS CRANK
• LINK 5 IS A LEVER
FOURTH INVERSION
• IN THIS LINK 4 IS FIXED
• LINK 3 ACTS AS A OSCILLATES ON LINK 4
• WHICH MAKES THE LINK 2 TO OSCILLATES
ALONG THE AXIS OF THE FIXED LINK 4
• APPLICATION: HAND PUMP
HAND PUMP
LINK 4 IS MADE IN THE FORM OF A CYLINDER
PLUNGER FIXED TO THE LINK 1 RECIPROCATES IN
IT. IF LINK 4 OF THE SLIDER CRANK MECHANISM
IS FIXED ,THE FOURTH INVERSION IS OBTAINED
LINK 3 CAN OSCILLATE ABOUT THE FIXED PIVOT
B ON LINK 4.THIS MAKES END A OF THELINK 2
TO OSCILLATE ABOUT B AND END O TO
RECIPROCATE ALONG THE AXIS OF THE FIXED
LINK 4
DOUBLE SLIDER CRANK MECHANISM
• A FOUR –BAR CHAIN HAVING TWO SLIDING
AND TWO TURNING PAIRS SUCH THAT TWO
PAIRS OF THE SAME KIND ARE ADJACENT IS
KNOWN AS A DOUBLE –SLIDER CRANK
MECHANISM
FIRST INVERSION
• THIS INVERSION IS OBTAINED WHEN LINK 1 IS
FIXED
• ADJACENT PAIRS 23,34 ARE TURNING PAIRS
• THE OTHER TWO PAIRS 12,14 ARE SLIDING
PAIRS
• APPLICATION: ELLIPTICAL TRAMMEL
ELLIPTICAL TRAMMEL
SECOND INVERSION
• IF ANY OF THE SLIDE BLOCKS OF THE FIRST
INVERSION IS FIXED, THE SECOND INVERSION IS
OBTAINED
• LINK 4 IS FIXED, END B OF CRANK 3 ROTATES
ABOUT A
• LINK 1 RECIPROCATES IN THE HORIZONTAL
• APPLICATION :SCOTCH YOKE
• A SCOTCH YOKE IS A DEVICE WHICH IS USED TO
CONVERT ROTARY MOTION INTO SLIDING MOTION
SCOTCH YOKE
THIRD INVERSION
• THIS INVERSION IS OBTAINED WHEN LINK 3 OF THE
FIRST INVERSION IS FIXED
• LINK 1 IS FREE TO MOVE
• THIS INVERSION IS USED TO CONNECT LINK 2 AND 4
• IF THE ROTATING LINKS 2 &4 OF THE MECHANISM ARE
REPLACED BY TWO SHAFTS
• ONE ACTS AS A DRIVER AND ANOTHER AS A DRIVEN
SHAFTS WITH THEIR AXES
• THEY ARE USED TO CONNECT TWO SHAFTS WHEN THE
DISTANCE B/W THEM IS SMALL
• APPLICATION : OLDHAM’S COUPLING
INVERSION MECHANISM

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INVERSION MECHANISM

  • 2. INVERSIONS OF FOUR BAR CHAIN MECHANISM
  • 3. Inversion means getting different mechanism by fixing different links of four bar chain mechanism 1 inversion – this inversion is obtained by fixing 1st link 2nd link acts as a crank 3rd link is acts as a coupler 4th link acts as a rocker 1 INVERSION
  • 4. 2nd inversion • By fixing 2 link the second inversion is obtained in which • 1 & 3 link acts as a crank • Link 4 acts as a coupler • The mechanism so obtained is known as crank-crank or double crank
  • 5. 3rd inversion • By fixing link 3 the 3rd inversion is obtained in which • Link 1 acts as a coupler • Link 2 acts as a crank • Link 4 acts as a rocker
  • 6. 4th inversion • By fixing 4 link the 4th inversion is obtained in which • Link 1 & 3 acts as a rocker • Link 2 acts as coupler
  • 7. SLIDER CRANK CHAIN • WHEN ONE OF THE TURNING PAIRS OF A FOUR BAR CHAIN IS REPLACED BY A SLIDING PAIR, IT BECOMES A SLIDER CRANK MECHANISM
  • 8. INVERSION OF SLIDER CRANK MECHANISM • FIRST INVERSION • THIS INVERSION IS OBTAINED WHENLINK 1 IS FIXED WHERE • LINK 2 ACTS AS A CRANK • LINK 4 ACTS AS A SLIDER
  • 9. SECOND INVERSION • THIS INVERSION IS OBTAINED WHEN LINK 2nd IS FIXED • LINK 3 ALONG WITH THE SLIDER ACTS AS A CRANK
  • 10. APPLICATIONS ARE-1.WHITWORTH QUICK –RETURN MECHANISM 2.ROTARY ENGINE • IT IS A MECHANISM USED IN WORKSHOPS TO CUT METALS • FORWARD STROKES TAKES A LITTLE LONGER AND CUTS TWHITWORTH QUICK –RETURN MECHANISMH METAL WHEREAS THE RETURN STROKE IS IDLE AND TAKES A SHORTER TIME
  • 11.
  • 12. ROTARY ENGINE • LINK 2 IS FIXED • LINK 3 IS ROTATED DUE TO PISTON MOVEMENT • DUE TO THE ROTATION OF LINK 3 ,LINK 1 ROTATES ABOUT O
  • 14.
  • 15. THIRD INVERSION • THIS INVERSION IS OBTAINED WHEN LINK 3 IS FIXED • LINK 2 ACTS AS A CRANK • LINK 4 ACTS AS A ROCKER OR OSCILLATOR • LINK 1 ACTS AS A COUPLER
  • 16. OSCILLATING CYLINDER ENGINE • LINK 4 IS MADE IN THE FORM OF CYLINDER • PISTON IS FIXED TO THE END OF LINK1 • THE PISTON RECIPROCATES INSIDE THE CYLINDER PIVOTED TO THE LINK 3 • WHEN THE PISTON RECIPROCATES IN THE CYLINDER ,THE CRANK ROTATES
  • 18.
  • 19. CRANK AND SLOTTED LEVER MECHANISM • IF THE CYLINDER OF AN OSCILLATING CYLINDER ENGINE IS MADE IN THE FORM OF A GUIDE AND THE PISTON IN THE SLIDER • LINK 3 IS FIXED • LINK 2 ACTS AS CRANK • LINK 5 IS A LEVER
  • 20.
  • 21. FOURTH INVERSION • IN THIS LINK 4 IS FIXED • LINK 3 ACTS AS A OSCILLATES ON LINK 4 • WHICH MAKES THE LINK 2 TO OSCILLATES ALONG THE AXIS OF THE FIXED LINK 4 • APPLICATION: HAND PUMP
  • 22. HAND PUMP LINK 4 IS MADE IN THE FORM OF A CYLINDER PLUNGER FIXED TO THE LINK 1 RECIPROCATES IN IT. IF LINK 4 OF THE SLIDER CRANK MECHANISM IS FIXED ,THE FOURTH INVERSION IS OBTAINED LINK 3 CAN OSCILLATE ABOUT THE FIXED PIVOT B ON LINK 4.THIS MAKES END A OF THELINK 2 TO OSCILLATE ABOUT B AND END O TO RECIPROCATE ALONG THE AXIS OF THE FIXED LINK 4
  • 23.
  • 24.
  • 25. DOUBLE SLIDER CRANK MECHANISM • A FOUR –BAR CHAIN HAVING TWO SLIDING AND TWO TURNING PAIRS SUCH THAT TWO PAIRS OF THE SAME KIND ARE ADJACENT IS KNOWN AS A DOUBLE –SLIDER CRANK MECHANISM
  • 26. FIRST INVERSION • THIS INVERSION IS OBTAINED WHEN LINK 1 IS FIXED • ADJACENT PAIRS 23,34 ARE TURNING PAIRS • THE OTHER TWO PAIRS 12,14 ARE SLIDING PAIRS • APPLICATION: ELLIPTICAL TRAMMEL
  • 28. SECOND INVERSION • IF ANY OF THE SLIDE BLOCKS OF THE FIRST INVERSION IS FIXED, THE SECOND INVERSION IS OBTAINED • LINK 4 IS FIXED, END B OF CRANK 3 ROTATES ABOUT A • LINK 1 RECIPROCATES IN THE HORIZONTAL • APPLICATION :SCOTCH YOKE • A SCOTCH YOKE IS A DEVICE WHICH IS USED TO CONVERT ROTARY MOTION INTO SLIDING MOTION
  • 30. THIRD INVERSION • THIS INVERSION IS OBTAINED WHEN LINK 3 OF THE FIRST INVERSION IS FIXED • LINK 1 IS FREE TO MOVE • THIS INVERSION IS USED TO CONNECT LINK 2 AND 4 • IF THE ROTATING LINKS 2 &4 OF THE MECHANISM ARE REPLACED BY TWO SHAFTS • ONE ACTS AS A DRIVER AND ANOTHER AS A DRIVEN SHAFTS WITH THEIR AXES • THEY ARE USED TO CONNECT TWO SHAFTS WHEN THE DISTANCE B/W THEM IS SMALL • APPLICATION : OLDHAM’S COUPLING