003 position analysis

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003 position analysis

  1. 1. Position Analysis<br />Lecture Notes<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  2. 2. Position and Displacement<br />The position of a point on a mechanism is the spatial location of that point.<br />Displacement is the end product of motion.<br />Linear displacement is the straight line distance between an original position of a point on a mechanism and some later position.<br />Angular displacement is the angular distance between two positions of a rotating link.<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  3. 3. Position Analysis <br />Graphical Analysis<br />Analytical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  4. 4. Example 1:<br /> The figure shows a toggle clamp used to securely hold parts. Graphically determine the displacement of the clamp surface as the handle rotates downward 15o.<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  5. 5. Graphical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />Using CAD software:<br />The displacement of point C is 11.62 mm<br />
  6. 6. Analytical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  7. 7. Summary:<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  8. 8. Limiting Positions<br /> The configuration of a mechanism that places one of the follower links in an extreme position is called a limiting position.<br />Graphical Analysis<br />Analytical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  9. 9. Example 2:<br />The figure shows a linkage that operates a water nozzle. Determine the extreme position of the mechanism that places the nozzle in extreme positions.<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
  10. 10. Graphical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />Using CAD software:<br />The angular displacement of link 4 is 47o<br />
  11. 11. Analytical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />Step 1:<br />
  12. 12. Analytical Analysis<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />Step 2:<br />
  13. 13. Reference:<br /> Machines and Mechanisms Applied Kinematic Analysis by David H. Myszka. © 1999 by Prentice-Hall, Inc. Page 1 – 17.<br />

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