Types Of Mechanisms

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MAE 342 – Dynamics of MachinesTypes of MechanismsClassification of Mechanisms bytype and mobilityMAE 342 – Dynamics of Machines2Planar, Spherical and Spatial Mechanisms Planar Mechanisms: all points on eachpart move only in.Image from Technische Universität Ilmenau.Images from Tiptop Industry Co., Ltd.Image from Northern Tool Equipment Catalog Co.1

MAE 342 – Dynamics of Machines3Planar, Spherical and Spatial Mechanisms Spherical Mechanisms: all points on eachpart move only in.Image from Maarten Steurbaut.Images from the Laboratory for the Analysis andSynthesis of Spatial Movement.Images from Laboratoire de robotique, Université Laval.MAE 342 – Dynamics of Machines4Planar, Spherical and Spatial Mechanisms Spatial Mechanisms: points on each partcan move in any direction in 3-dimensionalspace.Image from the Kinematic Models for Design DigitalLibrary, Cornell University.Image from www.robots.com.Image from SlikaImage from the Special Session on Computer AidedLinkage Synthesis, ASME DETC 2002.2

MAE 342 – Dynamics of Machines5Mobility Degrees of freedom (DOF) is:the number of independent controlsneeded to position a body. Mathematically itis the number of independent variablesneeded to specify the position of a body. A planar body has DOF.A spherical body has DOF.A spatial body has DOF.MAE 342 – Dynamics of Machines6Mobility Mobility is:the number of degrees of freedom of a mechanism. If the number of planar bodies is n (and there are no joints) themobility is .If one of the bodies is fixed, the mobility is .If the number of spatial bodies is n (and there are no joints) themobility is .If one of the bodies is fixed, the mobility is .3

MAE 342 – Dynamics of Machines7Mobility Each type of joint imposes a certain numberconstraints(i.e., takes away a certain number of DOFfrom mechanism):Planar MechanismvariablesType of JointDOFDOF removedRevolutePrismaticCamGearMAE 342 – Dynamics of Machines8MobilityFigure from Uicker et al., Theory of Machines and Mechanismsa)b)c)d)e)f)Revolute joint (R) – Circular motionPrismatic joint (P) – Rectilinear motionScrew joint (S) – Helical motionCylindrical joint (C) – Cylindrical motionSpherical joint (G) – Spherical motionFlat joint (F) – Planar motionFigure from Unigraphics on-line documentation.4

MAE 342 – Dynamics of Machines9MobilityType of JointSpatial MechanismDOFDOF SphericalFlat/PlanarMAE 342 – Dynamics of Machines10Mobility “Kutzbach Criteria” for mobility (m) of: planar mechanisms:m spatial mechanisms:m where:5

MAE 342 – Dynamics of Machines11Mobility In Kutzbach criteriaa)If m 0b)If m 0c)if m 0MAE 342 – Dynamics of Machines12Mobility What is the mobility in these examples?a)b)c)d)Figures from Uicker et al., Theory of Machines and Mechanisms, 20036

MAE 342 – Dynamics of Machines13Mobility What is the mobility in these examples?a)b)c)d)Figures from Uicker et al., Theory of Machines and Mechanisms, 2003MAE 342 – Dynamics of Machines14Mobility Exceptions to the rule! Certain geometric conditionsDifferent parts of a linkage can havedifferent mobilities.7

MAE 342 – Dynamics of Machines15Torfason’s Classification of Mechanisms Snap-Action MechanismsLinear ActuatorsFine AdjustmentsClamping MechanismsLocational DevicesRatchets and EscapementsIndexing MechanismsSwinging or Rocking MechanismsReciprocating MechanismsReversing MechanismsCouplings and ConnectorsStop, Pause, and Hesitation MechanismsCurve GeneratorsStraight-Line Generators MAE 342 – Dynamics of Machines16Kinematic Inversion You can pick different links to be thefixed link – this is “kinematic inversion”Figures from Uicker et al., Theory of Machines and Mechanisms, 20038

MAE 342 – Dynamics of Machines17Grashof’s Law In a four bar linkage, if you want to be ableto sit on one link and have some other linkrotate 360 relative to you, then: where:s is the length of:l is the length of:p, q are the lengths of:MAE 342 – Dynamics of Machines18Grashof’s LawFigures from Uicker et al., Theory of Machines and Mechanisms, 20039

8 MAE 342 –Dynamics of Machines 15 Torfason’s Classification of Mechanisms Snap-Action Mechanisms Linear Actuators Fine Adjustments Clamping Mechanisms Locational Devices Ratchets and Escapements Indexing Mechanisms Swinging or Rocking Mechanisms Reciprocating Mechanisms Reversing Mec

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