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Unit III
Kinematics of cam
CAM - Definition
• Cams are used to convert
rotary motion into
reciprocating motion
Cam and Follower
Cam
Follower
• The cam and follower is a device which can
convert rotary motion (circular motion) into linear
motion (movement in a straight line).
Followers
(valves)
Cams
Examples for cam
• In IC engines to operate the inlet and exhaust valves
Examples of a Rotary cams in operation.
Control the movement of the
engine valves.
Cams used in a pump.
Classification of CAM Mechanism
Based on modes of Input / Output motion
1.2.1 Rotating cam – Translating follower
1.2.2 Rotating cam – Oscillating follower
1.2.3 Translating cam – Translating follower
Classification of CAM Mechanism
Based on modes of Input / Output motion
1.2.1 Rotating cam – Translating follower
1.2.2 Rotating cam – Oscillating follower
1.2.3 Translating cam – Translating follower
Rotating cam – Translating follower
Rotating cam – oscillating follower
Translating cam – Translating
follower
11
Type of Follower Motion
Oscillating follower
Translating follower
Classification of followers
According to the shape of follower
• Knife edge follower
• Roller follower
• Flat faced follower
• Spherical faced follower
13
• Roller Follower
• Mushroom Follower
• Flat-Faced Follower
Types of Followers
Flat-Faced
Follower
Mushroom
Follower
Roller
Follower
a) Knife edge follower
b) Roller follower
c) Flat faced follower
d) Spherical faced follower
According to the path of motion of
follower
a) Radial follower
b) Offset follower
a) Radial follower
• When the motion of the follower is along an axis
passing through the centre of the cam, it is known as
radial followers. Above figures are examples of this
type.
b) Offset follower
When the motion of the follower is along an axis away from the
axis of the cam centre, it is called off-set follower. Above figures
are examples of this type.
Classification of cams
a) Radial or disc cam
b) Cylindrical cam
c) End cam
a) Radial or Disc cam
In radial cams, the follower reciprocates or
oscillates in a direction perpendicular to the cam axis.
b) Cylindrical cams
In cylindrical cams, the follower reciprocates or
oscillates in a direction parallel to the cams axis.
c) End cams
It is also similar to
cylindrical cams, but the
follower makes contact
at periphery of the cam
as shown in fig
Figure 6.1 Types of cams: (a) plate cam, (b) wedge cam, (c) barrel cam, and (d) face cam.
26
Cam Terminology
• Base circle (Rb) – smallest circle that can be drawn
tangent to the physical cam surface
• Prime circle (Rp) – smallest circle that can be drawn
tangent to the locus of the centerline of the
follower
• Pitch curve – locus
of the centerline of
the follower
27
Cam Pressure Angle
• Pressure Angle (f)
–the angle between
the direction of
motion (velocity) of
the follower and the
direction of the axis
of transmission
• Want f<30 for
translating and f<35
for oscillating followers
f
28
Cam Eccentricity
• Eccentricty (e) – the
perpendicular distance
between the follower’s
axis of motion and the
center of the cam
• Aligned follower: e=0
b
e
3. Motion of the follower
As the cam rotates the follower moves
upward and downward.
• The upward movement of follower is called
rise (Outstroke)
• The downward movement is called fall
(Returnstroke).
• When the follower is not moving upward and
downward even when the cam rotates, it is
called dwell.
Displacement diagram for a cam.
Types of follower motion
1. Uniform motion ( constant velocity)
2. Simple harmonic motion
3. Uniform acceleration and retardation motion
4. Cycloidal motion
a) Uniform motion (constant velocity)
• Displacement diagram: Displacement is the distance that a follower
moves during one complete revolution (or cycle) of the cam while the
follower is in contact with the cam.
• It is the plot of linear displacement (s) of followerV/S angular
displacement (θ) of the cam for one full rotation of the cam.
• A period is a part of the cam cycle and it includes the following:
Rise (Outstroke) – the upward motion of the follower caused by cam
motion.
Fall (Return stroke) – the downward motion of the follower caused by cam
motion.
Dwell – the stationary position of the follower caused by cam motion.
a) Uniform motion (constant
velocity)
a) Uniform motion (constant velocity)
Displacement diagram
Since the follower moves with uniform velocity during its rise
and fall, the slope of the displacement curve must be constant as
shown in fig
b) Simple Harmonic motion
360 = ONE REVOLUTION OF CAM = 1 CYCLE
FALL
60 180
120 240
RISE
300
b) Simple harmonic motion
• Since the follower
moves with a
simple harmonic
motion, therefore
velocity diagram
consists of a sine
curve and the
acceleration
diagram consists of
a cosine curve.
c) Uniform acceleration and retardation
• Since the
acceleration
and
retardation
are uniform,
therefore the
velocity varies
directly with
time.
d) Cycloidal motion
CAM Profile
1
2
3
4
5
6
a
b
c
d
e
f
7
g
60°
4
5
°
8
9
1
0
1
1 1
2
h
i
j
k
l
90°
50

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KINEMATICS OF CAM LINKAGES-TYPES AND CONCEPTS

  • 2. CAM - Definition • Cams are used to convert rotary motion into reciprocating motion
  • 3. Cam and Follower Cam Follower • The cam and follower is a device which can convert rotary motion (circular motion) into linear motion (movement in a straight line). Followers (valves) Cams
  • 4. Examples for cam • In IC engines to operate the inlet and exhaust valves
  • 5. Examples of a Rotary cams in operation. Control the movement of the engine valves. Cams used in a pump.
  • 6. Classification of CAM Mechanism Based on modes of Input / Output motion 1.2.1 Rotating cam – Translating follower 1.2.2 Rotating cam – Oscillating follower 1.2.3 Translating cam – Translating follower
  • 7. Classification of CAM Mechanism Based on modes of Input / Output motion 1.2.1 Rotating cam – Translating follower 1.2.2 Rotating cam – Oscillating follower 1.2.3 Translating cam – Translating follower
  • 8. Rotating cam – Translating follower
  • 9. Rotating cam – oscillating follower
  • 10. Translating cam – Translating follower
  • 11. 11 Type of Follower Motion Oscillating follower Translating follower
  • 12. Classification of followers According to the shape of follower • Knife edge follower • Roller follower • Flat faced follower • Spherical faced follower
  • 13. 13 • Roller Follower • Mushroom Follower • Flat-Faced Follower Types of Followers Flat-Faced Follower Mushroom Follower Roller Follower
  • 14. a) Knife edge follower
  • 16. c) Flat faced follower
  • 17. d) Spherical faced follower
  • 18. According to the path of motion of follower a) Radial follower b) Offset follower
  • 19. a) Radial follower • When the motion of the follower is along an axis passing through the centre of the cam, it is known as radial followers. Above figures are examples of this type.
  • 20. b) Offset follower When the motion of the follower is along an axis away from the axis of the cam centre, it is called off-set follower. Above figures are examples of this type.
  • 21. Classification of cams a) Radial or disc cam b) Cylindrical cam c) End cam
  • 22. a) Radial or Disc cam In radial cams, the follower reciprocates or oscillates in a direction perpendicular to the cam axis.
  • 23. b) Cylindrical cams In cylindrical cams, the follower reciprocates or oscillates in a direction parallel to the cams axis.
  • 24. c) End cams It is also similar to cylindrical cams, but the follower makes contact at periphery of the cam as shown in fig
  • 25. Figure 6.1 Types of cams: (a) plate cam, (b) wedge cam, (c) barrel cam, and (d) face cam.
  • 26. 26 Cam Terminology • Base circle (Rb) – smallest circle that can be drawn tangent to the physical cam surface • Prime circle (Rp) – smallest circle that can be drawn tangent to the locus of the centerline of the follower • Pitch curve – locus of the centerline of the follower
  • 27. 27 Cam Pressure Angle • Pressure Angle (f) –the angle between the direction of motion (velocity) of the follower and the direction of the axis of transmission • Want f<30 for translating and f<35 for oscillating followers f
  • 28. 28 Cam Eccentricity • Eccentricty (e) – the perpendicular distance between the follower’s axis of motion and the center of the cam • Aligned follower: e=0 b e
  • 29. 3. Motion of the follower As the cam rotates the follower moves upward and downward. • The upward movement of follower is called rise (Outstroke) • The downward movement is called fall (Returnstroke). • When the follower is not moving upward and downward even when the cam rotates, it is called dwell.
  • 31. Types of follower motion 1. Uniform motion ( constant velocity) 2. Simple harmonic motion 3. Uniform acceleration and retardation motion 4. Cycloidal motion
  • 32. a) Uniform motion (constant velocity) • Displacement diagram: Displacement is the distance that a follower moves during one complete revolution (or cycle) of the cam while the follower is in contact with the cam. • It is the plot of linear displacement (s) of followerV/S angular displacement (θ) of the cam for one full rotation of the cam. • A period is a part of the cam cycle and it includes the following: Rise (Outstroke) – the upward motion of the follower caused by cam motion. Fall (Return stroke) – the downward motion of the follower caused by cam motion. Dwell – the stationary position of the follower caused by cam motion.
  • 33. a) Uniform motion (constant velocity)
  • 34. a) Uniform motion (constant velocity) Displacement diagram Since the follower moves with uniform velocity during its rise and fall, the slope of the displacement curve must be constant as shown in fig
  • 35. b) Simple Harmonic motion 360 = ONE REVOLUTION OF CAM = 1 CYCLE FALL 60 180 120 240 RISE 300
  • 36. b) Simple harmonic motion • Since the follower moves with a simple harmonic motion, therefore velocity diagram consists of a sine curve and the acceleration diagram consists of a cosine curve.
  • 37. c) Uniform acceleration and retardation • Since the acceleration and retardation are uniform, therefore the velocity varies directly with time.