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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING CSSOIDS

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The lengths of the links comply with the conditions: A͞E=E͞B=E͞0=b/2 and A͞C=a/2. Link 1 turns about fixed axis C and is connected by turning pairs A to links 3 and 5. Link 5 is connected by sliding pairs to sliders 6 and 2. Link 3 has the form of a bent lever. Arm Bn of link 3 is connected by a sliding pair to slider 7. Slider 7 is connected by turning pair D to slider 2. Link 4 is connected by turning pairs E and 0 to link 3 and to slider 6 which turns about fixed axis 0. When link 1 turns about axis C, point D of slider 7 describes the cissoid of circle p-p and of straight line q-q which is perpendicular to axis 0x. The equation of the cissoid is ρD=0͞D=(c/cos(ϕ))-a*cos(ϕ) or y²=x²(a-(c-x))/(c-x) where ϕ = polar angle between vector ρD and polar axis 0x c = b²/a.
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Documents: Lever mechanisms  [Streambook]
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