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Dynamic Mechanisms
CAMS
• A cam is a machine part
for transferring rotary
motion to linear motion
• In a radial plate cam, the
cam is mounted on a
rotating shaft
• The motion is recieved by
a follower
• To see a cam in operation
click on the link
Cams
Follower
Cam
Shaft
http://www.engr.colostate.edu/~dga/video_
demos/mechanisms/IC_engine_cam_crank
_animation.gif
• Followers can be knife edged, rollers or flat
footed
Follower Types
Knife Edged Roller Flat Footed
• The point of the
follower can follow very
complicated cam
profiles
• Wears Rapidly
• Must be used at low
speeds
Knife Edged Follower
30 60 120 150 180 210 240 270 300 330 36090
30
60
120
150
180
210
240
270
300
330
360
90
• In order to determine the shape of a cam, a displacement diagram is
drawn first
• The height of the diagram (A) is equal to the total displacement of the
follower ie. the difference between the highest and lowest points
• The width of the displacement diagram does not matter but it is divided
into regular divisions representing angular increments (on the cam)
• 30° increments are generally used
Displacement Diagrams
Displacement Diagram
Cam Profile
A
• A cam that imparts uniform
velocity (UV) has the following
displacement diagram
• The cam shown has a rise at
uniform velocity, followed by a
fall at uniform velocity
• The follower rises and falls at a
constant speed
• Shown over is the cam profile
with uniform velocity rise and
uniform velocity fall
• The disadvantage of uniform
velocity is abrupt changes of
movement of the follower
Uniform Velocity (UV)
UV UV
• A dwell is a period
when there is no
displacement of the
follower
– Cam radius remains
constant
• A cam will have a
circular profile for
periods of dwell
• Note the circular
segment on the cam
Dwell
UV UVDwell
• Simple Harmonic Motion
(SHM) is based on gentle
acceleration and
deceleration.
• SHM may be compared to
the motion of an
oscillating pendulum
• Simple harmonic motion
produces a sine curve
• Shown over is the outline
of a cam with SHM rise
and SHM fall
Simple Harmonic Motion (SHM)
Simple Harmonic Motion
• A follower with Uniform
Acceleration and
Retardation (UAR) will
accelerate and
decellerate at the same
rate
• The path of UAR is
parabolic and can be
drawn using the rectangle
method
• Shown over is the outline
of a cam with UAR rise
and UAR fall
Uniform Acceleration and Retardation (UAR)
UAR
Cams
• Draw the displacement diagram for a plate cam
rotating in an anticlockwise direction imparting
the following motion to the inline knife edge
follower:
– UV rise 0˚-90˚ of 40mm
– Dwell 90˚-180˚
– SHM fall 180˚-360˚ of 40mm
• The nearest approach of the follower to the cam
shaft centre is 20mm
• The can shaft diameter is 15mm
0 30 60 90 120 150 180 210 240 270 300 330 360
0˚
30˚
60˚
90˚
120˚
150˚
180˚
210˚
240˚
270˚
300˚
330˚
360˚
UV
rise
Dwell
SHM
Fall 0˚
30˚
60˚
90˚
120˚
150˚
Total rise 40
Nearest approach of follower
20mm
Ø15 mm shaft
Cams
• Draw the displacement diagram for a plate cam
rotating in a clockwise direction imparting the
following motion to the inline knife edge
follower:
– SHM rise 0˚ - 90˚ of 35mm
– UV rise 90˚ - 210˚ of 10mm
– UAR fall 210˚ - 360˚ of 45mm
• The nearest approach of the follower to the cam
shaft centre is 20mm
• The cam shaft diameter is 15mm
0 30 60 90 120 150 180 210 250 270 300 330 360
0
330
300
270
240
210
180
150
120
90
60
30
360
Nearest approach of follower
20mm
Ø15 mm shaft
Total rise 45
Plot the follower
displacement diagram
for an in-line knife-edge
follower in contact with
the cam profile shown
below
360°
30°
60°
90°
120°
150°
180°
210°
240°
270°
300
330°
30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°0°
Roller Followers
• Are used because they
give a smoother
movement and they
wear more evenly
Cams
• Draw the displacement diagram for a plate cam
rotating in an anticlockwise direction imparting
the following motion to an inline roller follower:
– UV rise 0˚ - 90˚ of 40mm
– Dwell 90˚ - 180˚
– SHM fall 180˚ - 360˚ of 40mm
• The roller follower has a diameter of 12mm
• The nearest approach of the roller centre to the
cam shaft centre is 20mm
• The cam shaft diameter is 15mm
0 30 60 90 120 150 180 210 250 270 300 330 360
0˚
30˚
60˚
90˚
120˚
150˚
180˚
210˚
250˚
270˚
300˚
330˚
360˚
UV
rise
Dwell
SHM
Fall 0˚
30˚
60˚
90˚
120˚
150˚
Total rise 40
Nearest approach of follower
20mm
Ø15 mm shaft
Roller Ø12
Flat Footed Follower
• Wears slower than a
knife edge follower
• May bridge over
hollows
Cams
• Draw the displacement diagram for a plate cam
rotating in an anticlockwise direction imparting
the following motion to the flat follower:
– UV rise 0˚ -90˚ of 40mm
– Dwell 90˚ -180˚
– SHM fall 180˚ -360˚ of 40mm
• The follower extends 6mm to either side
• The nearest approach of the follower to the cam
shaft centre is 20mm
• The cam shaft diameter is 15mm
0 30 60 90 120 150 180 210 250 270 300 330 360
0˚
30˚
60˚
90˚
120˚
150˚
180˚
210˚
250˚
270˚
300˚
330˚
360˚
UV
rise
Dwell
SHM
Fall 0˚
30˚
60˚
90˚
120˚
150˚
Total rise 40
Nearest approach of follower
20mm
Ø15 mm shaft
Flat footed follower extends 6mm to either
side

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Cams

  • 3. • A cam is a machine part for transferring rotary motion to linear motion • In a radial plate cam, the cam is mounted on a rotating shaft • The motion is recieved by a follower • To see a cam in operation click on the link Cams Follower Cam Shaft http://www.engr.colostate.edu/~dga/video_ demos/mechanisms/IC_engine_cam_crank _animation.gif
  • 4. • Followers can be knife edged, rollers or flat footed Follower Types Knife Edged Roller Flat Footed
  • 5. • The point of the follower can follow very complicated cam profiles • Wears Rapidly • Must be used at low speeds Knife Edged Follower
  • 6.
  • 7. 30 60 120 150 180 210 240 270 300 330 36090 30 60 120 150 180 210 240 270 300 330 360 90 • In order to determine the shape of a cam, a displacement diagram is drawn first • The height of the diagram (A) is equal to the total displacement of the follower ie. the difference between the highest and lowest points • The width of the displacement diagram does not matter but it is divided into regular divisions representing angular increments (on the cam) • 30° increments are generally used Displacement Diagrams Displacement Diagram Cam Profile A
  • 8. • A cam that imparts uniform velocity (UV) has the following displacement diagram • The cam shown has a rise at uniform velocity, followed by a fall at uniform velocity • The follower rises and falls at a constant speed • Shown over is the cam profile with uniform velocity rise and uniform velocity fall • The disadvantage of uniform velocity is abrupt changes of movement of the follower Uniform Velocity (UV) UV UV
  • 9. • A dwell is a period when there is no displacement of the follower – Cam radius remains constant • A cam will have a circular profile for periods of dwell • Note the circular segment on the cam Dwell UV UVDwell
  • 10. • Simple Harmonic Motion (SHM) is based on gentle acceleration and deceleration. • SHM may be compared to the motion of an oscillating pendulum • Simple harmonic motion produces a sine curve • Shown over is the outline of a cam with SHM rise and SHM fall Simple Harmonic Motion (SHM) Simple Harmonic Motion
  • 11. • A follower with Uniform Acceleration and Retardation (UAR) will accelerate and decellerate at the same rate • The path of UAR is parabolic and can be drawn using the rectangle method • Shown over is the outline of a cam with UAR rise and UAR fall Uniform Acceleration and Retardation (UAR) UAR
  • 12. Cams • Draw the displacement diagram for a plate cam rotating in an anticlockwise direction imparting the following motion to the inline knife edge follower: – UV rise 0˚-90˚ of 40mm – Dwell 90˚-180˚ – SHM fall 180˚-360˚ of 40mm • The nearest approach of the follower to the cam shaft centre is 20mm • The can shaft diameter is 15mm
  • 13. 0 30 60 90 120 150 180 210 240 270 300 330 360 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ 180˚ 210˚ 240˚ 270˚ 300˚ 330˚ 360˚ UV rise Dwell SHM Fall 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ Total rise 40 Nearest approach of follower 20mm Ø15 mm shaft
  • 14. Cams • Draw the displacement diagram for a plate cam rotating in a clockwise direction imparting the following motion to the inline knife edge follower: – SHM rise 0˚ - 90˚ of 35mm – UV rise 90˚ - 210˚ of 10mm – UAR fall 210˚ - 360˚ of 45mm • The nearest approach of the follower to the cam shaft centre is 20mm • The cam shaft diameter is 15mm
  • 15. 0 30 60 90 120 150 180 210 250 270 300 330 360 0 330 300 270 240 210 180 150 120 90 60 30 360 Nearest approach of follower 20mm Ø15 mm shaft Total rise 45
  • 16. Plot the follower displacement diagram for an in-line knife-edge follower in contact with the cam profile shown below
  • 17. 360° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300 330° 30° 60° 90° 120° 150° 180° 210° 240° 270° 300° 330° 360°0°
  • 18. Roller Followers • Are used because they give a smoother movement and they wear more evenly
  • 19. Cams • Draw the displacement diagram for a plate cam rotating in an anticlockwise direction imparting the following motion to an inline roller follower: – UV rise 0˚ - 90˚ of 40mm – Dwell 90˚ - 180˚ – SHM fall 180˚ - 360˚ of 40mm • The roller follower has a diameter of 12mm • The nearest approach of the roller centre to the cam shaft centre is 20mm • The cam shaft diameter is 15mm
  • 20. 0 30 60 90 120 150 180 210 250 270 300 330 360 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ 180˚ 210˚ 250˚ 270˚ 300˚ 330˚ 360˚ UV rise Dwell SHM Fall 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ Total rise 40 Nearest approach of follower 20mm Ø15 mm shaft Roller Ø12
  • 21. Flat Footed Follower • Wears slower than a knife edge follower • May bridge over hollows
  • 22. Cams • Draw the displacement diagram for a plate cam rotating in an anticlockwise direction imparting the following motion to the flat follower: – UV rise 0˚ -90˚ of 40mm – Dwell 90˚ -180˚ – SHM fall 180˚ -360˚ of 40mm • The follower extends 6mm to either side • The nearest approach of the follower to the cam shaft centre is 20mm • The cam shaft diameter is 15mm
  • 23. 0 30 60 90 120 150 180 210 250 270 300 330 360 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ 180˚ 210˚ 250˚ 270˚ 300˚ 330˚ 360˚ UV rise Dwell SHM Fall 0˚ 30˚ 60˚ 90˚ 120˚ 150˚ Total rise 40 Nearest approach of follower 20mm Ø15 mm shaft Flat footed follower extends 6mm to either side