Linkage for Approximating a Sine Wave

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Published on ● Video Link: https://www.youtube.com/watch?v=E_UioGK38ns



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PART LENGTHS:
Purple Link - 5a
Yellow Link - 5a
Beige Link (Ground) - 4a
Magenta Link - 2a
Orange Link - 2.5a
Red Link (Horizontal Section) - 2a
Aqua Link - b, such that b ≥ 1.5a
Blue Link - 2b, such that b ≥ 1.5a

Red Link connects to Magenta Link at the midpoint.
Orange Link connects to Yellow Link at the midpoint.
Blue Link connects to Aqua Link at the midpoint.
The ends of the aqua link and blue link are attached to a slider joint.
The red slider is attached rigidly to the red link. A crossbar is visualized as an example of how to brace it securely, though it may not be needed if the linkage is small enough.

This mechanism combines two existing linkages: a linkage to project a component of a moving point onto a line, and a Chebyshev "table" linkage, which combines a Chebyshev linkage and a Chebyshev Lambda linkage flipped upside down.
   • Projection of a moving point on a line  
https://en.wikipedia.org/wiki/Chebyshev_linkage

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