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    Mechanism Synthesis and Analysis

    Synthesis design a mechanism to perform adesired function

    Analysis given a mechanism, perform kinematics

    and kinetics analysis

    Graphi cal techniques

    Analytical methods

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    Ken Youssefi Mechanical Engineering Dept. 2

    M echanism

    Machines are mechanical devices used to accomplishwork. A mechanism is a heart of a machine. It is themechanical portion of the machine that has thefunction of transferring motion and forces from a

    power source to an output.

    Mechanism is a system of rigid elements (linkages)arranged and connected to transmit motion and/orforce in a predetermined fashion.

    M echani sm consists of l inkages and joints.

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    Ken Youssefi Mechanical Engineering Dept. 3

    F our -Bar L inkage

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    Ken Youssefi Mechanical Engineering Dept. 4

    The Slider -Crank M echanism

    Input link,crank Coupler link,

    connecting rod

    Output link,piston (slider)

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    Ken Youssefi Mechanical Engineering Dept. 5

    Example of M echani sm

    Can crusher

    Simple press

    Rear-window wiper

    132

    4

    5

    3

    4

    2

    1

    6

    4

    321

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    Ken Youssefi Mechanical Engineering Dept. 6

    Example of M echanisms

    Moves packages from an assembly bench to a conveyor

    Six bar

    5

    3

    42

    1

    6

    Lift platform

    Six bar5

    34 2

    1

    6

    Microwave carrier to assist people on wheelchair

    Six bar

    5

    34

    2

    1

    6

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    Example of M echanisms

    Lift platform

    Front loader

    Device to close thetop flap of boxes

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    Example of M echani smsStair climbing mechanism

    A box thatturns itself off

    Airplane landinggear mechanism

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    Example of M echanisms

    Conceptual design for anexercise machine

    Rowing type exercise machine

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    Ken Youssefi Mechanical Engineering Dept. 10

    Example of M echanisms

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    Ken Youssefi Mechanical Engineering Dept. 11

    Example of M echanisms

    Six-bar linkage prostheticknee mechanism

    Extension position

    Flexed position

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    Ken Youssefi Mechanical Engineering Dept. 12

    F our-Bar L inkage Categories

    Case I shortest link + longest link < summation of the other two links

    a) Shortest link is the driver witheither one of the adjacent linksas the ground link (fixed). The

    result is two different types ofcrank-rocker mechanisms, inputlink rotates 360 (crank) andoutput link oscillates (rocker)

    fixed

    fixed

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    Ken Youssefi Mechanical Engineering Dept. 13

    F our-Bar L inkage Categories

    Case I shortest link + longest link < summation of the other two links

    b) Shortest link is fixed. Theresult is a double-crankmechanism. Both, input andoutput links rotate 360.

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    Ken Youssefi Mechanical Engineering Dept. 14

    F our -Bar L inkage Categor ies

    c) The longest link is fixed andeither one of the intermediatelinks is the driver. The result is adouble-rocker mechanism.Both, input and output linksoscillate.

    Grashof condition one link rotates 360

    Case I shortest link + longest link < summation of the other two links

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    Ken Youssefi Mechanical Engineering Dept. 15

    F our-Bar L inkage Categor iesCase I I shortest link + longest link > summation of the other two links

    There are four possiblemechanisms depending onwhich link is fixed. Allmechanisms are double-rockers.

    Case I I I shortest link + longest link = summation of the other two links

    Same mechanisms as in case Iwith the addition of a

    branching point (all links become collinear).

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    Ken Youssefi Mechanical Engineering Dept. 16

    4-Bar mechanisms

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    Ken Youssefi Mechanical Engineering Dept. 17

    4-Bar mechanismsS + l > p + q

    4 double rockermechanisms

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    Ken Youssefi Mechanical Engineering Dept. 18

    The Slider -Crank M echanism

    Input link,crank Coupler link,

    connecting rod

    Output link,piston (slider)

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    Ken Youssefi Mechanical Engineering Dept. 19

    Slider -Crank M echani sm

    Offset slider-crank mechanism

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    Ken Youssefi Mechanical Engineering Dept. 20

    Slider -Crank M echanism

    In-line slider crank mechanism

    The mechanism has astroke B 1B2 equal twicethe crank length r 2.

    Locations B 1 and B2 are

    called the extreme positions (limiting) ofthe slider

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    Ken Youssefi Mechanical Engineering Dept. 21

    The Slider -Crank M echani sm

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    Ken Youssefi Mechanical Engineering Dept. 22

    Slider -Crank M echani sm - I nversion

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    Ken Youssefi Mechanical Engineering Dept. 23

    Categories of M echanisms

    Function generation mechanismsOutput is a specified function of input

    Motion generation mechanisms

    Path generation mechanisms

    The orientation of the object is important,r igid body guidance

    A point on a link moves on a specified path

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    Ken Youssefi Mechanical Engineering Dept. 25

    M echanism Categories

    Function Generation Mechanisms

    A four-bar drive linkage for a lawn sprinkler

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    Ken Youssefi Mechanical Engineering Dept. 26

    M echanism CategoriesFunction Generation Mechanisms

    A four-bar function generation mechanism tooperate an artificial hand used for gripping.

    A four-bar function generation

    mechanism to lower an attic stairway.

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    Ken Youssefi Mechanical Engineering Dept. 27

    M echanism CategoriesMotion Generation Mechanisms

    In motion generation, the entire motion of the coupler linkis of interest ( rigid body guidance ).

    New Rollerblade brake system

    Fixed pivot points

    2

    4

    3Moving joints

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    Ken Youssefi Mechanical Engineering Dept. 28

    M echanism Categories

    Motion Generation Mechanisms

    Four-bar automobile hood linkage design

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    M echanism Categor ies

    Ken Youssefi Mechanical Engineering Dept. 29

    Lift platform

    Six bar5

    3

    42

    1

    6

    Microwave carrier to assist people on wheelchair

    Six bar

    53 4

    2

    16

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    Ken Youssefi Mechanical Engineering Dept. 30

    M echanism Categories

    Path Generation Mechanisms

    In path generation, we are concerned only with the path of atracer point and not with the motion (rotation) of thecoupler link.

    Crane straight line motion

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    Ken Youssefi Mechanical Engineering Dept. 31

    M echanism CategoriesPath Generation Mechanismswith timing

    A four-bar path generation mechanism as part of an arm-actuated propulsion system

    for a wheelchair

    A four-bar path generation mechanism to guidethread in an automatic sewing machine

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    Ken Youssefi Mechanical Engineering Dept. 32

    Primary Joints

    H i h O d J i

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    H igher Order Joints

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    Ken Youssefi Mechanical Engineering Dept. 35

    M otion Generation M echanisms

    Lifting a boat out of waterMoving a trash pan from the floor up overa trash bin and into a dump position

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    Ken Youssefi Mechanical Engineering Dept. 36

    Straight l ine M echanisms

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    Straight l ineM echanisms

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    Straight L ine M echanism

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    Ken Youssefi Mechanical Engineering Dept. 39

    Straight L ine M echani sm - Application

    Straight line mechanismwith dwell

    S hY k M h i

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    Ken Youssefi Mechanical Engineering Dept. 40

    Scotch Yoke M echanism

    Example

    car window

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    Ken Youssefi Mechanical Engineering Dept. 41

    Geneva M echanism

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    L inear Geneva M echani sm

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    Ken Youssefi Mechanical Engineering Dept. 43

    Ratchet M echani sm

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    Ken Youssefi Mechanical Engineering Dept. 44

    Straight Beam Walking M echanism

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    Roller and F lat F ollower Cams

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    Ken Youssefi Mechanical Engineering Dept. 48

    Gears Rack and Pinion

    Gears

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    Gears

    Worm Gear Sets Bevel gears Planetary Gear set

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    V-8 Engine

    TypeofM otionandM echanisms

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    Ken Youssefi Mechanical Engineering Dept. 51

    Type of M otion and M echanisms

    Translation to Translation

    Most power sources that are readily available today are either of the purerotational motion type, such as electric motor or hand crank, or of the

    pure translational type, such as pneumatic or hydraulic cylinder, or linearactuators.

    TypeofM otionandM echanisms

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    Ken Youssefi Mechanical Engineering Dept. 52

    Type of M otion and M echanismsRotational to Rotational

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    Ken Youssefi Mechanical Engineering Dept. 53

    Type of M otion and M echanismsRotation to Translation

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    References

    Mechanism Design, Analysis and Synthesis byErdman and sander, fourth edition, Prentice-Hall,

    Machines and Mechanisms by Uicker, Pennockand Shigley, third edition, Oxford

    Machines and Mechanisms by Myszka, Prentice-Hall