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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic Analysis of Mechanisms
Kinematic Analysis of Mechanisms
Aim
Determining the positions, velocities and accelerations of the driven
elements (without taking into account the forces that influence the
movement) knowing the movement of the driver element(s).
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic Analysis of Mechanisms
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
MOTIONSTUDY
Study of position, displacement, velocity and
acceleration of different elements ofmechanism.
Given input Desired output
Motion study is important in Mechanisms and Machine Theory
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic Analysis of Mechanisms usingTransfer functions
In kinematic analysis of the mechanisms the transfer functions represents those
functions that establish a link between the kinematic state of a driven elementand kinematic state of the driver element.
Thus,
is defined as the function that establish the link
between parameter that is the driven element and is the driver element.
Transfer functions method
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
If we differentiate
where
Where represents the transfer function of 1storder (establish the link between
The velocity of driven and driver link).
Transfer functions method
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
If we differentiate 2 times:
where
Where represents the transfer function of 2ndorder (establish the link between
the acceleration of driven and driver link).
Transfer functions method
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Example 1. Kinematic Analysis of Four-bar Mechanism
Kinematic analysis of four-bar mechanism
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h l f ld l f h d h
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic analysis of four-bar mechanism
2
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Example 2.
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Technical University of Cluj-NapocaLecture 5-6 Fundamentals of Mechanics and Mechanisms
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Technical University of Cluj Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5 6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5 6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic analysis of a the planar four-bar linkage
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y j p
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic analysis of a the planar four-bar linkage
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y j p
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Technical University of Cluj-NapocaLecture 5-6 Fundamentals of Mechanics and Mechanisms
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y j p
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Kinematic analysis of a the slider-crank linkage
Example 3
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Constante Variabile
l1
l2
l3=e
3=270
4=180
l4
1
2
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
3=270
4=180
Technical University of Cluj-NapocaLecture 5-6 Fundamentals of Mechanics and Mechanisms
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
F l f M h i
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
f L D i S i D S
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Technical University of Cluj-Napoca
F lt f M h i
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
f L D i S i D St
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr Dr ing Sergiu Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Example 4
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr Dr ing Sergiu Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
Constante Variabile
l1
l3
l4
4=180
l2
1
2
3
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr Dr ing Sergiu-Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu-Dan Stan
4=180
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr Dr ing Sergiu-Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu Dan Stan
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu Dan Stan
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
ef Lucr. Dr.ing. Sergiu Dan Stan
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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y
Department of Mechanisms, Precision Mechanics and Mechatronics
g g
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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y
Department of Mechanisms, Precision Mechanics and Mechatronics
g g
Example 5
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Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-Napoca
Faculty of Mechanics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-NapocaFaculty of Mechanics
D f M h i P i i M h i d M h i
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Example 6
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Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
2
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Example 7
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
I
II
OABO
BCDEB
OAdriving link
EDdriven link
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
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Department of Mechanisms, Precision Mechanics and Mechatronics
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
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Department of Mechanisms, Precision Mechanics and Mechatronics
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Department of Mechanisms, Precision Mechanics and Mechatronics
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Department of Mechanisms, Precision Mechanics and Mechatronics
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Department of Mechanisms, Precision Mechanics and Mechatronics
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Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Differential
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam Mechanisms
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Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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The cam has a very important function in the
operation of many classes of machines,
especially those of the automatic type, such asprinting presses, shoe machinery, textile
machinery, gear-cutting machines, and screw
machines. In any class of machinery in which automatic
control and accurate timing are paramount, the
cam is an indispensable part of mechanism. Thepossible applications of cams are unlimited,
and their shapes occur in great variety.
Applications of Cam Mechanisms
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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The transformation of one of the simple
motions, such as rotation, into any other
motions is often conveniently accomplishedby means of a cam mechanism.
A cam mechanism usually consists of two
moving elements, the cam and the follower,mounted on a fixed frame.
Cam Mechanisms
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Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Engine 4 stroke
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Examples for cam mechanisms
In IC engines to operate the inlet and exhaust valves
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam Mechanisms
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam Mechanisms
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
CAM N l t
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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 thecam 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
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
CAM Nomenclat re
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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 movesor rotates
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
CAM Nomenclature
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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 pressureangle.
CAM Nomenclature
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
CAM Nomenclature
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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 pitchcurve
CAM Nomenclature
Technical University of Cluj-NapocaFaculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanismsef Lucr. Dr.ing. Sergiu-Dan Stan
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Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Rotating camoscillating follower
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam profiles
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
8/10/2019 Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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FLAT POINT/KNIFE ROLLER OFFSET
Cam Mechanisms
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Fl t f d f ll
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Flat faced follower
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
8/10/2019 Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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An eccentric cam is a disc with its centre of rotation positioned offcentre.This means as the cam rotates the flat follower rises and falls at a constant
rate. This type of cam is the easiest to make and yet it is one of the most
useful.
PRACTICAL EXAMPLE - ECCENTRIC CAM
ECCENTRIC CAM
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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THE SNAIL / DROP CAM
A snail (melc!) drop cam is used where the drop or fall of the follower must be
sudden.
THE SNAIL / DROP CAM
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
SWASH PLATE CAMS
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SWASH PLATE CAMS
A swash plate cam is usually a disc that rotates around a shaft. The discis set at an angle so that the follower moves up and down as the disc
rotates.
SWASH PLATE CAMS
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
8/10/2019 Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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The mechanical display below is a dancing puppet.
SWASH PLATE CAMS
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
8/10/2019 Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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BOX CAMS
A box cam consists of a rotating disc, normally made from steel. A groove is cut /
milled into its surface to a specific depth (this is the profile). The groove may be anunusual shape as seen in the example below. As the disc rotates the follower
follows the path of the groove. Cams of this type are used in a range of machines
where a repetitive motion is needed.
BOX CAMS
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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End cams
It is also
similar to
cylindrical
cams, but the
follower
makes
contact at
periphery of
the cam as
shown in fig
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
FLAT PLATE CAM / LINEAR CAM
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FLAT PLATE CAM / LINEAR CAM
FLAT PLATE CAMS
The diagram below shows a basic example of a flat plate cam / linear cam. As the flat plate cam profile
moves to the left the follower moves up and down, matching the shape of the profile. The flat plate cam
then reverses in the opposite direction and the follower drops and rises again.
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
FLAT PLATE CAM / LINEAR CAM
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FLAT PLATE CAMS
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Motion of the follower
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Motion of the follower
As the cam rotates the follower movesupward 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 anddownward even when the cam rotates, it iscalled dwell.
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Sine motion law
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Imposing the limit conditions for advance phase:
If we derive 2 times:
Space s made by the follower, function of rotation angle of the cam, after the law:
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Maximum value of velocity for is:
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Maximum value of acceleration for
Legea de variatie a spatiului s,
a vitezei vsi acceleratiei a,
ale tachetului:
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Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan;;
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Maximum value of velocity for is:
Technical University of Cluj-Napoca
Faculty of Mechanics
Department of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
Maximum value of acceleration for
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Legea de variatie a spatiuluis,a vitezei vsi acceleratiei a,
ale tachetului:
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Motion events
Motion events Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
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Cam Mechanisms Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam Mechanisms Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Rotating cam-translating follower
Cam Mechanisms
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
C Sh
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Grooved cam
Cam Shape
Cam Mechanisms
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Dual cam
Cam Mechanisms Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Cylindrical cam and end cam
Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Cam Mechanisms Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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Technical University of Cluj-Napoca
Faculty of MechanicsDepartment of Mechanisms, Precision Mechanics and Mechatronics
Lecture 5-6 Fundamentals of Mechanics and Mechanisms
ef Lucr. Dr.ing. Sergiu-Dan Stan
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