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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING CUBIC DUPLICATRICES

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Link 1 turns about fixed axis 0 and is connected by sliding pairs to sliders 3 and 2. Slider 3 is connected by turning pair B to slider 4 which moves along fixed guides p-p whose axis is perpendicular to axis 0x. Cross-piece Bb of slider 3 moves in slider 5. Slider 5 is connected by turning pair C to slider 6 which moves along fixed guides q-q. Sliders 2 and 7 are connected together by turning pair D. When link 1 turns about axis 0, point D of slider 7 describes cubic duplicatrix s-s with the equation ρD=0͞D= a/cos³(ϕ) or y²=x²(x-a)/a where ϕ is the polar angle between vector ρD and polar axis 0x.
$1182$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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