Study the cam profiles used in manufacturing machines

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    TERM PAPER

    KINEMATICS OF MACHINE

    MEC 202

    TOPIC: Study the cam profiles used in manufacturing machines

    Date of allotment: 14/10/2010

    Date of Submission: 15/11/2010

    Submitted to: Submitted by:

    Mr. Kamlesh Mishra Name: Sachin Rana

    (Deptt. Of Mechanical) Reg. No: 10904976

    Section: K4901

    Roll No: RK 4901 B35

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    ACKNOWLEDGEMENT

    To many individuals I am indebted good counsel and assistance in

    various ways in this respect one of my sincerest thanks to Mr. Kamlesh,

    Sir of Lovely Professional University, Phagwara, for their kind

    cooperation and able guidance.

    I owe a deep sense of ineptness of my pureness that has been source of

    inspiration in every work of my life.

    I deeply express our ineptness and thanks to all my faculty member and

    friends for there in valuable, guidance which enable me to bring out this

    project in a presentable manner.

    Sachin

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    ABSTRACT

    The term paper presents the analysis of various cam profiles used in

    manufacturing machines. It focuses mainly on the types of cam and its

    followers and how are they classified according to their shape, manner

    of movement and motion. It also focuses on the graphical representation

    of the cam profile, i.e., how are they constructed and what are the

    procedure to construct a cam profile and how they can be used in a

    machine.

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    INTRODUCTION

    A cam is a mechanical member used to

    impart desired motion to a follower by direct

    contact. A cam is a rotating or sliding piece

    in a mechanical linkage used especially in

    transforming rotary motion into linear

    motion or vice-versa. The cam may be

    rotating or reciprocating whereas the

    followers may be rotating, reciprocating or

    oscillating. It is often a part of a rotating

    wheel (e.g. an eccentric wheel) or shaft (e.g.

    a cylinder with an irregular shape) that

    strikes a lever at one or more points on its

    circular path. The cam can be a simple tooth,

    as is used to deliver pulses of power to a

    steam hammer, for example, or an eccentric

    disc or other shape that produces a smooth

    reciprocating (back and forth) motion in the

    follower, which is a lever making contact

    with the cam.

    The cam can be seen as a device that

    translates from circular to reciprocating (or

    sometimes oscillating) motion. A common

    example is the camshaft of an automobile,

    which takes the rotary motion of the engineand translates it into the reciprocating

    motion necessary to operate the intake and

    exhaust valves of the cylinders. The

    opposite operation, translation of

    reciprocating motion to circular motion, is

    done by a crank. An example is the

    crankshaft of a car, which takes the

    reciprocating motion of the pistons and

    translates it into the rotary motion necessary

    to operate the wheels. Cams can also be

    viewed as information-storing and

    -transmitting devices.

    A cam & 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 & guides

    the follower

    An early cam was built into Hellenistic

    water-driven automata from the 3rd century

    BC. The use of cams was later employed by

    Al-Jazari who employed them in his own

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    automata. The cam and camshaft appeared

    in European mechanisms from the 14th

    century.

    The binary cam is a design for the pulley

    system of a compound bow. Craig Yehle,

    director of research and development at

    Bowtech Archery, received a patent for the

    design on December 11, 2007. Bowtech

    started equipping its bows with the new cam

    design in the 2005 model year.

    The binary cam is described as a modified

    twin cam setup where each cam is slaved to

    the other via a loop of string connecting the

    two cams. This is contrasted with a typical

    twin cam setup where the ends of the

    bowstring are physically anchored onto each

    of the bow limbs.

    As a twin cam system relies on each cam

    rotating independently, based solely on the

    force of the string and the resistance of the

    bow limbs being absolutely symmetrical,

    there is room for a twin cam system to "lose

    tune" through wear and tear, string stretch,

    or just general age. The effect of a detuned

    twin cam bow is that the two cams rotate out

    of sync with each other, causing the

    bowstring to accelerate in two alternating

    directions upon release. This causes a

    number of adverse consequences, the most

    obvious being unsteady arrow flight.

    The binary cam overcomes this by 'slaving'

    each cam to the other; as one cam is unable

    to rotate without the direct equivalent action

    of the other, the two rotate in near perfect

    synchronization, with any possible

    differences in rotation automatically

    correcting themselves as the shot cycle is

    completed.

    TYPES OF CAMS

    Cams are classified according to

    1) Shape,

    2) Follower movement, &

    3) Manner of constraint of the follower.

    According to Shape:-

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    1. Wedge & Flat Cams: A wedge

    generally has a translational motion. The

    follower can either translate or oscillate.

    Spring is used to maintain the contact

    between the cam & the follower. The

    cam is stationary & the follower causes

    the relative motion of the cam.

    2. Radial & 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.

    3. Spiral Cams: A spiral cam is a face cam

    in which a groove is cut in the form of a

    spiral. The spiral groove consists of teeth

    which mesh with a pin gear follower.

    4. Cylindrical Cams: A cylinder which

    has a circumferential contour cut in the

    surface, rotates about its axis.

    5. Conjugate Cams: Conjugate cams are a

    double-disc cam, the two discs being

    keyed together & are in constant touch

    with the two rollers of a follower.

    6. Globoidal Cams: A globoidal cam can

    have two types of surfaces, convex or

    concave.

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    7. Spherical Cams: In a spherical, the

    follower oscillates about an axis

    perpendicular to the axis of rotation of

    the cam.

    According to follower movement

    1. Rise-Return-Rise (R-R-R): In this,

    there is alternate rise & return of the

    follower with no periods of dwells.

    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 & return of the follower after a

    dwell.

    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 & dwell

    & subsequently by return & dwell.

    According to Manner of Constraint of the

    Follower

    1. Pre-loaded spring cam: Is used for

    the purpose of keeping the contactbetween the cam & the follower.

    2. Positive-drive cam: Constant touch

    between the cam & the follower is

    maintained by a roller follower

    operating the groove of cam.

    3. Gravity cam: If the rise of the cam

    is achieved by the rising surface ofthe cam & the return by the force of

    gravity or due to the weight of the

    cam, the cam is known as the gravity

    cam.

    TYPES OF FOLLOWERS

    Cam followers are classified according to

    the

    1. Shape

    2. Movement &

    3. Location of line of movement.

    According to shape

    1. Knife-edge Follower: Simple in

    construction. However, its use is

    limited as it produces a great wear of

    the surface at the point of contact.

    2. Roller Follower: Widely used cam

    follower & has a cylindrical roller

    free to rotate about a pin joint. At

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    low speed, the follower has a pure

    rolling action, but at high speeds,

    some sliding also occurs.

    According to Movement

    1. Reciprocating Follower: As the

    cam rotates, the follower

    reciprocates or translates in the

    guides.

    2. Oscillating Follower: The follower

    is pivoted at a suitable point on the

    frame & oscillates as the cam makesthe rotary motion.

    According to Location of Line of

    Movement

    1. Radial Follower: The follower is

    known as a radial follower if the line

    of movement of the follower passes

    through the center of rotation of the

    cam.

    2. Offset Follower: If the line of

    movement of the roller follower is

    offset from the center of rotation of

    the cam, the follower is known as

    offset follower.

    CAM PROFILES

    DESIGN PRINCIPLE

    The method termed kinematic inversions is

    commonly used in cam profile design. For

    example, in a disk cam with translating

    follower mechanism, the follower translates

    when the cam turns. This means that the

    relative motion between them is a

    combination of a relative turning motion and

    a relative translating motion. Without

    changing this feature of their relative

    motion, imagine that the cam remains fixed.

    Now the follower performs both the relative

    turning and translating motions. We have

    inverted the mechanism

    Cam Nomenclature

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    Base circle: It is the smallest circle

    tangent to the cam profile (contour)

    drawn from the center of rotation of

    a radial cam.

    Trace point: It is the reference point

    on the follower to trace the cam

    profile such as the knife-edge

    follower and the center of the roller

    of a roller follower.

    Pitch curve: It is the curve drawnbythe trace point assuming that the cam

    is fixed, and the trace point of the

    follower rotates around the cam.

    Pressure angle: It represents the

    steepness of the cam profile, it is the

    angle between the normal to the

    pitch curve at a point and the

    direction of follower motion. It

    varies in magnitude at all instants of

    follower motion.

    Pitch point: It is the point on the

    pitch curve at which pressure angle

    is maximum.

    Pitch circle: It is the circle passing

    through the pitch point and

    concentric with the base circle.

    Prime circle: The smallest circle

    drawn tangent to pitch curve is

    known as the prime circle.

    Angle of Ascent (outstroke): It is

    the angle turned by cam during the

    time of rise of follower.

    Angle of Dwell: It is the angle

    turned by cam while the follower

    remains stationary at the highest or

    lowest position.

    Angle of descent (Return stroke):

    It is the angle turned by cam when

    follower returns to its initial position.

    Angle of action: It is the angle

    turned by cam during beginning of

    rise and the end of return of the

    follower.

    HIGH-SPEED CAMS

    A real follower always has some mass &

    when multiplied by acceleration, inertia

    force of the follower is obtained. This force

    is always felt at the contact point of the

    follower with the cam surface & at the

    bearings. An acceleration curve with abrupt

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    changes exerts abrupt stresses on the cam

    surfaces & at the bearings accompanied by

    detrimental effects such as surface wear &

    noise. All this may lead to an early failure

    of the cam system. Thus, it is very important

    to give due consideration to velocity &

    acceleration curves while choosing a

    displacement diagram.

    In low-speed applications, cam with

    discontinuous acceleration characteristics

    may not show any undesirable characteristic,

    but at higher speeds such cams are certainly

    bound to show the same. The higher the

    speed, the higher is the need for smooth

    curves. At very high speeds, even the jerk is

    made continuous as well.

    LAYOUT OF CAM PROFILES

    A cam profile is constructed on the principle

    of kinematic inversion, i.e., considering the

    cam to be stationary & the follower to be

    rotating about it in the opposite direction of

    the cam rotation.

    INVERSION

    Graphical Representation of Cam Profile

    For the case of reciprocating knife-

    edge follower

    Step1: divide the displacement-diagram

    Abscissa into a number of segments.

    Step2: divide the prime circle into

    Corresponding segments.

    Step3: transfer distances, by means of

    dividers, from the displacement diagram

    directly onto the cam layout to locate the

    corresponding positions of the trace point.

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    Step4: draw a smooth curve through these

    points. The curve is just the required cam

    profile.

    For the case of reciprocating

    offset roller follower

    As shown in above figure, the displacement

    diagram of the follower is given, s=s

    ().Construct the plate cam profile

    Step1: construct the prime circle with radius

    r0.

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    Step2: construct the offset circle with radius

    equal to the amount of offset e.

    Step3: divide the displacement-diagram

    abscissa into a number of segments.

    Step4: divide the offset circle into

    corresponding segments and assign station

    numbers to the boundaries of these

    segments.

    Step5: construct lines tangent to the offset

    circle from these station, dividing the prime

    circle into corresponding segments.

    Step6: transfer distances, by means of

    dividers, from the displacement diagram

    directly onto the cam layout to locate the

    corresponding positions of the trace point,

    always measuring outward from the prime

    circle.

    Step7: draw a smooth curve through these

    points. The curve is just the required cam

    profile.

    UNDERCUTTING

    Sometimes, it may happen that the prime

    circle of a cam is proportional to provide a

    satisfactory pressure angle, still the follower

    may not be completing the desired motion.

    This can happen if the curvature of the pitch

    curve is too sharp.

    It can easily be observed that the

    cam curve loops over itself in order to

    realize the profile of the pitch curve. As it is

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    impossible to produce such a cam profile,

    the result is that the cam will be undercut &

    become a pointed cam. Now when the roller

    follower will be made to move over this

    cam, it will not be producing the desired

    motion.

    It may be observed that the cam will

    be pointed if the radius of the roller is equal

    to the radius of curvature of the pitch curve.

    Thus to minimum radius of curvature of the

    cam profile, the radius of curvature of the

    prime circle must always be greater than that

    of the radius of the roller.

    CAMPRO ENGINE

    The Campro engine is the first automotive

    engine ever developed together with Lotus

    by the Malaysian carmaker, Proton. The

    name Campro is short for Cam Profiling.

    This engine powers the Proton Gen-2, the

    Proton Satria Neo, the Proton Waja Campro,

    the Proton Persona as well as Proton's future

    models. The Campro engine is aimed to

    show Proton's ability to make their own

    engines that produce good power output and

    meet newer emission standards.

    All Campro engines incorporate

    drive-by-wire technology (specifically

    electronic throttle control) for better

    response eliminating the need for friction-

    generating mechanical linkages and cables.

    REFERENCE

    1. http://www.google.co.in/images?

    hl=en&q=cam+profiles&um=1&ie=

    UTF-

    8&source=univ&ei=2yXcTMeNOM

    WecPfB5MQG&sa=X&oi=image_result_group&ct=title&resnum=3&ved

    =0CDQQsAQwAg&biw=1024&bih

    =606

    2. http://www.technologystudent.com/c

    ams/cam2.htm

    3. http://hdabob.com/Cam

    %20Profiles.htm

    4. http://www.marposs.com/product.ph

    p/eng/camshaft_profile_automatic_in

    spection

    5. http://www.technologystudent.com/c

    ams/cam2.htm

    6. http://www.maplesoft.com/applicatio

    ns/view.aspx?SID=32587

    7. http://www.cs.cmu.edu/~rapidproto/

    mechanisms/chpt6.html

    8. http://www.wisegeek.com/what-is-a-

    camshaft.htm

    9. http://mechprojects.blogspot.com/20

    08/01/technical-terms-used-in-cam-

    diagram.html

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