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K.VINOTH KUMAR,B.E,M.Tech,
5/3/2022 SKV/RMKCET/UNIT-3 1
Syllabus
UNIT 3:
Classification of cams and followers
Terminology and definitions – Displacement
diagrams –Uniform velocity, parabolic, simple
harmonic and cycloidal motions – Derivatives
of follower motions – Layout of plate cam
profiles – Specified contour cams – Circular arc
and tangent cams – Pressure angle and
undercutting – sizing of cams
5/3/2022 SKV/RMKCET/UNIT-3 2
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
CAM - Definition
Cams are used to convert rotary motion into
reciprocating motion
Examples for cam
• In IC engines to operate the inlet and exhaust valves
5/3/2022 SKV/RMKCET/UNIT-3 6
Classification of CAM Mechanism
Based on modes of Input / Output motion
Rotating cam – Translating follower
Rotating cam – Oscillating follower
Translating cam – Translating follower
Introduction
• A cam is a mechanical member used to impart desired motion to a follower by
direct contact.
• The cam may be rotating or reciprocating whereas the follower may be rotating,
reciprocating or oscillating.
• Complicated output motions which are otherwise difficult to achieve can easily be
produced with the help of cams.
• Cams are widely used in automatic machines, internal combustion engines,
machine tools, printing control mechanisms, and so on.
• They are manufactured usually by die-casting, milling or by punch-presses.
• A cam and the follower combination belong to the category of higher pairs.
• Necessary elements of a cam mechanism are
– A driver member known as the cam
– A driven member called the follower
– A frame which supports the cam and guides the follower
5/3/2022 SKV/RMKCET/UNIT-3 8
TYPES OF CAMS
• Cams are classified according to
1. shape,
2. follower movement, and
3. manner of constraint of the follower.
5/3/2022 SKV/RMKCET/UNIT-3 9
10
• Roller Follower
• Mushroom Follower
• Flat-Faced Follower
Types of Followers
Flat-Faced
Follower
Mushroom
Follower
Roller
Follower
11
Direction of Follower Motion
• Radial or Axial
Radial Cam
Axial Cam
Cam and Follower
• A follower is a component
which is designed to move
up and down as it follows
the edge of the cam.
Knife edge
Follower
Flat foot
follower
Off set
follower
Roller
follower
cam
Follower
Cam and Follower
• The 'bumps' on a cam are called lobes.
• The square cam illustrated has four lobes,
and lifts the follower four times each
revolution.
Square cam
Follower
Examples of other rotary cam profiles.
Cam and Follower
Examples of a Rotary cams in operation.
Control the movement of the
engine valves.
Cams used in a pump.
Cam and Follower
• The linear cam moves backwards and forwards in a reciprocating
motion.
Linear cam
Distance
moved by the
follower
Cam Follower
Cam and Follower
• Cams can also be cylindrical in shape
• Below a cylindrical cam and roller follower.
• The cam follower does not have to move
up and down - it can be an oscillating lever
as shown above.
Cam rise and Fall
Max Lift
Min Lift
I. According to Shape
1) Wedge and Flat Cams
• A wedge cam has a wedge W which, in general, has a
translational motion.
• The follower F can either translate [Fig.(a)] or oscillate [Fig.(b)].
• A spring is, usually, used to maintain the contact between the
cam and the follower.
• In Fig.(c), the cam is stationary and the follower constraint or
guide G causes the relative motion of the cam and the follower.
5/3/2022 SKV/RMKCET/UNIT-3 17
2. Radial or Disc Cams
• A cam in which the follower moves radially from
the centre of rotation of the cam is known as a
radial or a disc cam (Fig. (a) and (b)].
• Radial cams are very popular due to their simplicity
and compactness.
5/3/2022 SKV/RMKCET/UNIT-3 18
3. Spiral Cams
• A spiral cam is a face cam in which a
groove is cut in the form of a spiral as
shown in Fig.
• The spiral groove consists of teeth
which mesh with a pin gear follower.
• The velocity of the follower is
proportional to the radial distance of
the groove from the axis of the cam.
• The use of such a cam is limited as the
cam has to reverse the direction to
reset the position of the follower. It
finds its use in computers.
5/3/2022 SKV/RMKCET/UNIT-3 19
4. Cylindrical Cams
• In a cylindrical cam, a cylinder which has a circumferential contour cut in the
surface, rotates about its axis.
• The follower motion can be of two types as follows: In the first type, a groove is cut
on the surface of the cam and a roller follower has a constrained (or positive)
oscillating motion [Fig.(a)].
• Another type is an end cam in which the end of the cylinder is the working surface
(b).
• A spring-loaded follower translates along or parallel to the axis of the rotating
cylinder.
5/3/2022 SKV/RMKCET/UNIT-3 20
5. Conjugate Cams
• A conjugate cam is a double-disc cam, the two discs being keyed
together and are in constant touch with the two rollers of a follower
(shown in Fig.).
• Thus, the follower has a positive constraint.
• Such a type of cam is preferred when the requirements are low wear,
low noise, better control of the follower, high speed, high dynamic
loads, etc.
5/3/2022 SKV/RMKCET/UNIT-3 21
6. Globoidal Cams
• A globoidal cam can have two types of surfaces, convex or
concave.
• A circumferential contour is cut on the surface of rotation of
the cam to impart motion to the follower which has an
oscillatory motion (Fig.).
• The application of such cams is limited to moderate speeds
and where the angle of oscillation of the follower is large.
5/3/2022 SKV/RMKCET/UNIT-3 22
7. Spherical Cams
• In a spherical cam, the follower oscillates about an axis
perpendicular to the axis surface of rotation of the cam.
• Note that in a disc cam, the follower oscillates about an axis
parallel to the axis of rotation of the cam.
• A spherical cam is in the form of a spherical surface which
transmits motion to the follower (Fig.).
5/3/2022 SKV/RMKCET/UNIT-3 23
II. According to Follower Movement
• The motions of the followers are distinguished from
each other by the dwells they have.
• A dwell is the zero displacement or the absence of
motion of the follower during the motion of the
cam.
• Cams are classified according to the motions of the
followers in the following ways:
5/3/2022 SKV/RMKCET/UNIT-3 24
1. Rise-Return-Rise (R-R-R)
• In this, there is alternate rise and return
of the follower with no periods of dwells
(Fig. a).
• Its use is very limited in the industry.
• The follower has a linear or an angular
displacement.
2. Dwell-Rise-Return-Dwell (D-R-R-D)
• In such a type of cam, there is rise and
return of the follower after a dwell Fig.(b).
• his type is used more frequently than the
R-R-R type of cam.
5/3/2022 SKV/RMKCET/UNIT-3 25
3. Dwell-Rise-Dwell-Return-Dwell
(D-R-D-R-D)
• It is the most widely used type of
cam.
• The dwelling of the cam is followed
by rise and dwell and subsequently
by return and dwell as shown in
rig. (c).
• In case the return of the follower is
by a fall [Fig.(d)], the motion may
be known as Dwell-Rise-Dwell (D-
R-D).
5/3/2022 SKV/RMKCET/UNIT-3 26
III. According to Manner of Constraint of the Follower
• To reproduce exactly the motion transmitted by the cam to the follower, it
is necessary that the two remain in touch at all speeds and at all times.
• The cams can be classified according to the manner in which this is
achieved.
1. Pre-loaded Spring Cam
A pre-loaded compression spring is used for the purpose of keeping the
contact between the cam and the follower.
2. Positive-drive Cam
In this type, constant touch between the cam and the follower is
maintained by a roller follower operating in the groove of a cam.
The follower cannot go out of this groove under the normal working
operations.
A constrained or positive drive is also obtained by the use of a conjugate
cam
3. Gravity Cam
If the rise of the cam is achieved by the rising surface of the cam and the
return by the force of gravity or due to the weight of the cam, the cam is
known as a gravity cam.
However, these cams are not preferred due to their uncertain behavior.
5/3/2022 SKV/RMKCET/UNIT-3 27
Classification of Followers
1. According to the surface in contact.
a) Knife edge follower.
When the contacting end of the follower has a sharp knife edge, it is called a knife
edge follower, as shown in Fig.(a).
• The sliding motion takes place between the contacting surfaces (i.e. the knife
edge and the cam surface).
• It is seldom used in practice because the small area of contacting surface results
in excessive wear.
• In knife edge followers, a considerable side thrust exists between the follower
and the guide.
5/3/2022 SKV/RMKCET/UNIT-3 28
(b) Roller follower.
• When the contacting end of the follower is a roller, it is called a roller follower, as
shown in Fig. (b).
• Since the rolling motion takes place between the contacting surfaces (i.e. the roller
and the cam), therefore the rate of wear is greatly reduced.
• In roller followers also the side thrust exists between the follower and the guide.
• The roller followers are extensively used where more space is available such as in
stationary gas and oil engines and aircraft engines.
5/3/2022 SKV/RMKCET/UNIT-3 29
(c) Flat faced or mushroom follower.
• When the contacting end of the follower is a perfectly flat face, it is called a flat-
faced follower, as shown in Fig. 20.1 (c).
• It may be noted that the side thrust between the follower and the guide is much
reduced in case of flat faced followers.
• The only side thrust is due to friction between the contact surfaces of the follower
and the cam.
•The flat faced followers are generally used
where space is limited such as in cams which
operate the valves of automobile engines.
•Note : When the flat faced follower is
circular, it is then called a mushroom
follower.
5/3/2022 SKV/RMKCET/UNIT-3 30
C) Flat faced or mushroom follower.
5/3/2022 SKV/RMKCET/UNIT-3 31
(d) Spherical faced follower.
• When the contacting end of the follower is of spherical shape, it is called a spherical
faced follower, as shown in Fig. (d).
• It may be noted that when a flat-faced follower is used in automobile engines, high
surface stresses are produced.
• In order to minimise these stresses, the flat end of the follower is machined to a
spherical shape.
5/3/2022 SKV/RMKCET/UNIT-3 32
2. According to the motion of the follower
(a) Reciprocating or translating follower.
• When the follower reciprocates in guides as the cam rotates uniformly, it is known
as reciprocating or translating follower.
• The followers as shown in Fig. (a) to (d) are all reciprocating or translating
followers.
5/3/2022 SKV/RMKCET/UNIT-3 33
(b) Oscillating or rotating follower.
• When the uniform rotary motion of the cam is converted into predetermined
oscillatory motion of the follower, it is called oscillating or rotating follower.
• The follower, as shown in (e), is an oscillating or rotating follower.
5/3/2022 SKV/RMKCET/UNIT-3 34
3. According to the path of motion of the 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 follower.
The followers, as shown in Fig. (a)
to (c), are all radial followers.
(b) Off-set 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. The follower, as shown in Fig. ( f ), is an off-set
follower.
5/3/2022 SKV/RMKCET/UNIT-3 35
Based on modes of Input / Output motion
Rotating cam – Translating follower
5/3/2022 SKV/RMKCET/UNIT-3 36
Based on modes of Input / Output motion
Rotating cam – Oscillating follower
5/3/2022 SKV/RMKCET/UNIT-3 37
Based on modes of Input / Output motion
Translating cam – Translating follower
5/3/2022 SKV/RMKCET/UNIT-3 38
CAMS LINKAGES
Easily designed to coordinate large
numbers of input/output motion
requirements.
Satisfy limited number of input- output
motion requirements.
Occupy less space. Occupy more space.
Dynamic response is sensitive to the
manufacturing accuracy of the cam
contour.
Slight manufacturing inaccuracy has
little effect on output.
Expensive to produce. Less expensive.
Easy to obtain dynamic balance.
Difficult and complicated analysis
involved in dynamic
Subject to surface wear.
Joint wear is non critical and quieter in
operation.
CAM Nomenclature
• Cam profile: The outer surface
of the disc cam.
• Base circle : The circle with
the shortest radius from the
cam center to any part of the
cam profile.
• Trace point: It is a point on the
follower, and its motion
describes the movement of
the follower. It is used to
generate the pitch curve.
CAM Nomenclature
• Pitch curve : The path
generated by the trace
point as the follower is
rotated about a
stationery cam.
 Prime circle: The smallest
circle from the cam
center through the pitch
curve
CAM Nomenclature
• Pressure angle: The angle
between the direction of
the follower movement
and the normal to the
pitch curve.
• Pitch point: Pitch point
corresponds to the point
of maximum pressure
angle.
2. CAM Nomenclature
• Pitch circle: A circle
drawn from the cam
center and passes
through the pitch point is
called Pitch circle
• Stroke: The greatest
distance or angle through
which the follower moves
or rotates
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.
Terms Used in Radial Cams
• Fig. shows a radial cam with reciprocating roller follower. The following terms are
important in order to draw the cam profile.
1. Base circle. It is the smallest circle that can be drawn to the cam profile.
2. Trace point. It is a reference point on the follower and is used to generate the pitch
curve. In case of knife edge follower, the knife edge represents the trace point and
the pitch curve corresponds to the cam profile. In a roller follower, the centre of
the roller represents the trace point.
5/3/2022 SKV/RMKCET/UNIT-3 45
Terms Used in Radial Cams
3. Pressure angle. It is the angle between the direction of the follower motion
and a normal to the pitch curve. This angle is very important in designing a
cam profile. If the pressure angle is too large, a reciprocating follower will
jam in its bearings.
4. Pitch point. It is a point on the pitch curve having the maximum pressure
angle.
5. Pitch circle. It is a circle drawn
from the centre of the cam
through the pitch points.
6. Pitch curve. It is the curve
generated by the trace point as
the follower moves relative to
the cam. For a knife edge
follower, the pitch curve and the
cam profile are same whereas
for a roller follower, they are
separated by the radius of the
roller.
5/3/2022 SKV/RMKCET/UNIT-3 46
Terms Used in Radial Cams
7. Prime circle. It is the smallest circle that can be drawn from the centre of the cam
and tangent to the pitch curve. For a knife edge and a flat face follower, the prime
circle and the base circle are identical. For a roller follower, the prime circle is larger
than the base circle by the radius of the roller.
8. Lift or stroke. It is the maximum travel of the follower from its lowest position to the
topmost position.
5/3/2022 SKV/RMKCET/UNIT-3 47
Motion of the Follower
• The follower, during its travel, may have one of the
following motions.
– Uniform velocity
– Simple harmonic motion
– Uniform acceleration and retardation
– Cycloidal motion
5/3/2022 SKV/RMKCET/UNIT-3 48
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 follower V/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
Displacement, Velocity and Acceleration Diagrams when the
Follower Moves with Uniform Velocity
• The displacement, velocity and acceleration diagrams when a knife-edged follower
moves with uniform velocity are shown in Fig. (a), (b) and (c) respectively.
• The abscissa (base) represents the time (i.e. the number of seconds required for the
cam to complete one revolution) or it may represent the angular displacement of
the cam in degrees. The ordinate represents the displacement, or velocity or
acceleration of the follower.
5/3/2022 SKV/RMKCET/UNIT-3 59
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5/3/2022 SKV/RMKCET/UNIT-3 65
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CAM introductions

  • 2. Syllabus UNIT 3: Classification of cams and followers Terminology and definitions – Displacement diagrams –Uniform velocity, parabolic, simple harmonic and cycloidal motions – Derivatives of follower motions – Layout of plate cam profiles – Specified contour cams – Circular arc and tangent cams – Pressure angle and undercutting – sizing of cams 5/3/2022 SKV/RMKCET/UNIT-3 2
  • 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. CAM - Definition Cams are used to convert rotary motion into reciprocating motion
  • 5. Examples for cam • In IC engines to operate the inlet and exhaust valves
  • 7. Classification of CAM Mechanism Based on modes of Input / Output motion Rotating cam – Translating follower Rotating cam – Oscillating follower Translating cam – Translating follower
  • 8. Introduction • A cam is a mechanical member used to impart desired motion to a follower by direct contact. • The cam may be rotating or reciprocating whereas the follower may be rotating, reciprocating or oscillating. • Complicated output motions which are otherwise difficult to achieve can easily be produced with the help of cams. • Cams are widely used in automatic machines, internal combustion engines, machine tools, printing control mechanisms, and so on. • They are manufactured usually by die-casting, milling or by punch-presses. • A cam and the follower combination belong to the category of higher pairs. • Necessary elements of a cam mechanism are – A driver member known as the cam – A driven member called the follower – A frame which supports the cam and guides the follower 5/3/2022 SKV/RMKCET/UNIT-3 8
  • 9. TYPES OF CAMS • Cams are classified according to 1. shape, 2. follower movement, and 3. manner of constraint of the follower. 5/3/2022 SKV/RMKCET/UNIT-3 9
  • 10. 10 • Roller Follower • Mushroom Follower • Flat-Faced Follower Types of Followers Flat-Faced Follower Mushroom Follower Roller Follower
  • 11. 11 Direction of Follower Motion • Radial or Axial Radial Cam Axial Cam
  • 12. Cam and Follower • A follower is a component which is designed to move up and down as it follows the edge of the cam. Knife edge Follower Flat foot follower Off set follower Roller follower cam Follower
  • 13. Cam and Follower • The 'bumps' on a cam are called lobes. • The square cam illustrated has four lobes, and lifts the follower four times each revolution. Square cam Follower Examples of other rotary cam profiles.
  • 14. Cam and Follower Examples of a Rotary cams in operation. Control the movement of the engine valves. Cams used in a pump.
  • 15. Cam and Follower • The linear cam moves backwards and forwards in a reciprocating motion. Linear cam Distance moved by the follower Cam Follower
  • 16. Cam and Follower • Cams can also be cylindrical in shape • Below a cylindrical cam and roller follower. • The cam follower does not have to move up and down - it can be an oscillating lever as shown above. Cam rise and Fall Max Lift Min Lift
  • 17. I. According to Shape 1) Wedge and Flat Cams • A wedge cam has a wedge W which, in general, has a translational motion. • The follower F can either translate [Fig.(a)] or oscillate [Fig.(b)]. • A spring is, usually, used to maintain the contact between the cam and the follower. • In Fig.(c), the cam is stationary and the follower constraint or guide G causes the relative motion of the cam and the follower. 5/3/2022 SKV/RMKCET/UNIT-3 17
  • 18. 2. Radial or Disc Cams • A cam in which the follower moves radially from the centre of rotation of the cam is known as a radial or a disc cam (Fig. (a) and (b)]. • Radial cams are very popular due to their simplicity and compactness. 5/3/2022 SKV/RMKCET/UNIT-3 18
  • 19. 3. Spiral Cams • A spiral cam is a face cam in which a groove is cut in the form of a spiral as shown in Fig. • The spiral groove consists of teeth which mesh with a pin gear follower. • The velocity of the follower is proportional to the radial distance of the groove from the axis of the cam. • The use of such a cam is limited as the cam has to reverse the direction to reset the position of the follower. It finds its use in computers. 5/3/2022 SKV/RMKCET/UNIT-3 19
  • 20. 4. Cylindrical Cams • In a cylindrical cam, a cylinder which has a circumferential contour cut in the surface, rotates about its axis. • The follower motion can be of two types as follows: In the first type, a groove is cut on the surface of the cam and a roller follower has a constrained (or positive) oscillating motion [Fig.(a)]. • Another type is an end cam in which the end of the cylinder is the working surface (b). • A spring-loaded follower translates along or parallel to the axis of the rotating cylinder. 5/3/2022 SKV/RMKCET/UNIT-3 20
  • 21. 5. Conjugate Cams • A conjugate cam is a double-disc cam, the two discs being keyed together and are in constant touch with the two rollers of a follower (shown in Fig.). • Thus, the follower has a positive constraint. • Such a type of cam is preferred when the requirements are low wear, low noise, better control of the follower, high speed, high dynamic loads, etc. 5/3/2022 SKV/RMKCET/UNIT-3 21
  • 22. 6. Globoidal Cams • A globoidal cam can have two types of surfaces, convex or concave. • A circumferential contour is cut on the surface of rotation of the cam to impart motion to the follower which has an oscillatory motion (Fig.). • The application of such cams is limited to moderate speeds and where the angle of oscillation of the follower is large. 5/3/2022 SKV/RMKCET/UNIT-3 22
  • 23. 7. Spherical Cams • In a spherical cam, the follower oscillates about an axis perpendicular to the axis surface of rotation of the cam. • Note that in a disc cam, the follower oscillates about an axis parallel to the axis of rotation of the cam. • A spherical cam is in the form of a spherical surface which transmits motion to the follower (Fig.). 5/3/2022 SKV/RMKCET/UNIT-3 23
  • 24. II. According to Follower Movement • The motions of the followers are distinguished from each other by the dwells they have. • A dwell is the zero displacement or the absence of motion of the follower during the motion of the cam. • Cams are classified according to the motions of the followers in the following ways: 5/3/2022 SKV/RMKCET/UNIT-3 24
  • 25. 1. Rise-Return-Rise (R-R-R) • In this, there is alternate rise and return of the follower with no periods of dwells (Fig. a). • Its use is very limited in the industry. • The follower has a linear or an angular displacement. 2. Dwell-Rise-Return-Dwell (D-R-R-D) • In such a type of cam, there is rise and return of the follower after a dwell Fig.(b). • his type is used more frequently than the R-R-R type of cam. 5/3/2022 SKV/RMKCET/UNIT-3 25
  • 26. 3. Dwell-Rise-Dwell-Return-Dwell (D-R-D-R-D) • It is the most widely used type of cam. • The dwelling of the cam is followed by rise and dwell and subsequently by return and dwell as shown in rig. (c). • In case the return of the follower is by a fall [Fig.(d)], the motion may be known as Dwell-Rise-Dwell (D- R-D). 5/3/2022 SKV/RMKCET/UNIT-3 26
  • 27. III. According to Manner of Constraint of the Follower • To reproduce exactly the motion transmitted by the cam to the follower, it is necessary that the two remain in touch at all speeds and at all times. • The cams can be classified according to the manner in which this is achieved. 1. Pre-loaded Spring Cam A pre-loaded compression spring is used for the purpose of keeping the contact between the cam and the follower. 2. Positive-drive Cam In this type, constant touch between the cam and the follower is maintained by a roller follower operating in the groove of a cam. The follower cannot go out of this groove under the normal working operations. A constrained or positive drive is also obtained by the use of a conjugate cam 3. Gravity Cam If the rise of the cam is achieved by the rising surface of the cam and the return by the force of gravity or due to the weight of the cam, the cam is known as a gravity cam. However, these cams are not preferred due to their uncertain behavior. 5/3/2022 SKV/RMKCET/UNIT-3 27
  • 28. Classification of Followers 1. According to the surface in contact. a) Knife edge follower. When the contacting end of the follower has a sharp knife edge, it is called a knife edge follower, as shown in Fig.(a). • The sliding motion takes place between the contacting surfaces (i.e. the knife edge and the cam surface). • It is seldom used in practice because the small area of contacting surface results in excessive wear. • In knife edge followers, a considerable side thrust exists between the follower and the guide. 5/3/2022 SKV/RMKCET/UNIT-3 28
  • 29. (b) Roller follower. • When the contacting end of the follower is a roller, it is called a roller follower, as shown in Fig. (b). • Since the rolling motion takes place between the contacting surfaces (i.e. the roller and the cam), therefore the rate of wear is greatly reduced. • In roller followers also the side thrust exists between the follower and the guide. • The roller followers are extensively used where more space is available such as in stationary gas and oil engines and aircraft engines. 5/3/2022 SKV/RMKCET/UNIT-3 29
  • 30. (c) Flat faced or mushroom follower. • When the contacting end of the follower is a perfectly flat face, it is called a flat- faced follower, as shown in Fig. 20.1 (c). • It may be noted that the side thrust between the follower and the guide is much reduced in case of flat faced followers. • The only side thrust is due to friction between the contact surfaces of the follower and the cam. •The flat faced followers are generally used where space is limited such as in cams which operate the valves of automobile engines. •Note : When the flat faced follower is circular, it is then called a mushroom follower. 5/3/2022 SKV/RMKCET/UNIT-3 30
  • 31. C) Flat faced or mushroom follower. 5/3/2022 SKV/RMKCET/UNIT-3 31
  • 32. (d) Spherical faced follower. • When the contacting end of the follower is of spherical shape, it is called a spherical faced follower, as shown in Fig. (d). • It may be noted that when a flat-faced follower is used in automobile engines, high surface stresses are produced. • In order to minimise these stresses, the flat end of the follower is machined to a spherical shape. 5/3/2022 SKV/RMKCET/UNIT-3 32
  • 33. 2. According to the motion of the follower (a) Reciprocating or translating follower. • When the follower reciprocates in guides as the cam rotates uniformly, it is known as reciprocating or translating follower. • The followers as shown in Fig. (a) to (d) are all reciprocating or translating followers. 5/3/2022 SKV/RMKCET/UNIT-3 33
  • 34. (b) Oscillating or rotating follower. • When the uniform rotary motion of the cam is converted into predetermined oscillatory motion of the follower, it is called oscillating or rotating follower. • The follower, as shown in (e), is an oscillating or rotating follower. 5/3/2022 SKV/RMKCET/UNIT-3 34
  • 35. 3. According to the path of motion of the 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 follower. The followers, as shown in Fig. (a) to (c), are all radial followers. (b) Off-set 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. The follower, as shown in Fig. ( f ), is an off-set follower. 5/3/2022 SKV/RMKCET/UNIT-3 35
  • 36. Based on modes of Input / Output motion Rotating cam – Translating follower 5/3/2022 SKV/RMKCET/UNIT-3 36
  • 37. Based on modes of Input / Output motion Rotating cam – Oscillating follower 5/3/2022 SKV/RMKCET/UNIT-3 37
  • 38. Based on modes of Input / Output motion Translating cam – Translating follower 5/3/2022 SKV/RMKCET/UNIT-3 38
  • 39. CAMS LINKAGES Easily designed to coordinate large numbers of input/output motion requirements. Satisfy limited number of input- output motion requirements. Occupy less space. Occupy more space. Dynamic response is sensitive to the manufacturing accuracy of the cam contour. Slight manufacturing inaccuracy has little effect on output. Expensive to produce. Less expensive. Easy to obtain dynamic balance. Difficult and complicated analysis involved in dynamic Subject to surface wear. Joint wear is non critical and quieter in operation.
  • 40. CAM Nomenclature • Cam profile: The outer surface of the disc cam. • Base circle : The circle with the shortest radius from the cam center to any part of the cam profile. • Trace point: It is a point on the follower, and its motion describes the movement of the follower. It is used to generate the pitch curve.
  • 41. CAM Nomenclature • Pitch curve : The path generated by the trace point as the follower is rotated about a stationery cam.  Prime circle: The smallest circle from the cam center through the pitch curve
  • 42. CAM Nomenclature • Pressure angle: The angle between the direction of the follower movement and the normal to the pitch curve. • Pitch point: Pitch point corresponds to the point of maximum pressure angle.
  • 43. 2. CAM Nomenclature • Pitch circle: A circle drawn from the cam center and passes through the pitch point is called Pitch circle • Stroke: The greatest distance or angle through which the follower moves or rotates
  • 44. 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.
  • 45. Terms Used in Radial Cams • Fig. shows a radial cam with reciprocating roller follower. The following terms are important in order to draw the cam profile. 1. Base circle. It is the smallest circle that can be drawn to the cam profile. 2. Trace point. It is a reference point on the follower and is used to generate the pitch curve. In case of knife edge follower, the knife edge represents the trace point and the pitch curve corresponds to the cam profile. In a roller follower, the centre of the roller represents the trace point. 5/3/2022 SKV/RMKCET/UNIT-3 45
  • 46. Terms Used in Radial Cams 3. Pressure angle. It is the angle between the direction of the follower motion and a normal to the pitch curve. This angle is very important in designing a cam profile. If the pressure angle is too large, a reciprocating follower will jam in its bearings. 4. Pitch point. It is a point on the pitch curve having the maximum pressure angle. 5. Pitch circle. It is a circle drawn from the centre of the cam through the pitch points. 6. Pitch curve. It is the curve generated by the trace point as the follower moves relative to the cam. For a knife edge follower, the pitch curve and the cam profile are same whereas for a roller follower, they are separated by the radius of the roller. 5/3/2022 SKV/RMKCET/UNIT-3 46
  • 47. Terms Used in Radial Cams 7. Prime circle. It is the smallest circle that can be drawn from the centre of the cam and tangent to the pitch curve. For a knife edge and a flat face follower, the prime circle and the base circle are identical. For a roller follower, the prime circle is larger than the base circle by the radius of the roller. 8. Lift or stroke. It is the maximum travel of the follower from its lowest position to the topmost position. 5/3/2022 SKV/RMKCET/UNIT-3 47
  • 48. Motion of the Follower • The follower, during its travel, may have one of the following motions. – Uniform velocity – Simple harmonic motion – Uniform acceleration and retardation – Cycloidal motion 5/3/2022 SKV/RMKCET/UNIT-3 48
  • 49. 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 follower V/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.
  • 50. a) Uniform motion (constant velocity)
  • 51. 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
  • 52. b) Simple Harmonic motion 360 = ONE REVOLUTION OF CAM = 1 CYCLE FALL 60 180 120 240 RISE 300
  • 53. 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.
  • 54.
  • 55.
  • 56. c) Uniform acceleration and retardation • Since the acceleration and retardation are uniform, therefore the velocity varies directly with time.
  • 59. Displacement, Velocity and Acceleration Diagrams when the Follower Moves with Uniform Velocity • The displacement, velocity and acceleration diagrams when a knife-edged follower moves with uniform velocity are shown in Fig. (a), (b) and (c) respectively. • The abscissa (base) represents the time (i.e. the number of seconds required for the cam to complete one revolution) or it may represent the angular displacement of the cam in degrees. The ordinate represents the displacement, or velocity or acceleration of the follower. 5/3/2022 SKV/RMKCET/UNIT-3 59