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Lab 6 Kinematics & Constraints

This lab introduces the concepts of kinematics, constraints, and their practical applications. Students will work individually but refer to lab partners. They will start with 2-D models made from manila folders and learn to create various constraints using punch holes, stick pins, and thumbtacks. The lab also covers the design of 3-D models using swab sticks, capplugs, and a glue gun.

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Lab 6 Kinematics & Constraints

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  1. Lab 6 Kinematics & Constraints

  2. Make 2 and 3-D models Work as individuals but refer to lab partners Read Doug Blanding’s booklet for ideas Start with 2-D models out of manila folders Punch works well for making holes for joints Stick pins for grounded joints Thumbtacks for free joints

  3. Introduction • Statically Deterministic • Force • Moment • Two force member • Degree of Freedom • Kinematic constraint

  4. Suggested models – single constraint One grounded joint – only rotation One swivel joint – rotation and translation

  5. Dual in-line constraints Ground joints 1 & 4 and make 2 & 3 a little long What happens? Toggle or oil can effect

  6. Dual constraints – not parallel – virtual pivot

  7. Dual constraints - parallel Instantaneous center of rotation is at infinity But translational modes constrained Add second set of parallel constraints

  8. Cascading constraints Practical application – Drafting machine – parallel motion in 2-D

  9. Exact 2-D constraints Design a “tangent bar” constraint for a circular disk This is often used for the radial constraint of a telescope mirror

  10. Practical examples of 2-D exact constraints

  11. 2-D exact constraint table

  12. 3-D exact constraint table

  13. Build 3-D constraint systems Use swab sticks, capplugs and hot glue gun to make models Careful with the glue gun – the glue can burn if it is still hot

  14. Make some compound connections Use manila folder sheet material and glue gun

  15. Investigate stiffening sheets

  16. 2-D Trusses

  17. Rigid 3-D structures

  18. Tangent Arm

  19. Tangent Arm

  20. Example of Kinematic Constraint

  21. Example of Virtual Pivot

  22. Example of Vee

  23. Example of “Canoe Ball” Large contact surface radius to reduce Hertzian contact stress

  24. Example of mechanical 3D constraint

  25. Example of 3D Constraint

  26. Example of 3D Constraint

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