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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING PARABOLIC RIGHT FOLIA

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Link 1 turns about fixed axis 0 and is connected by sliding pairs to slider 3 and to cross-shaped slider 2 which has guides perpendicular to each other. Slider 3 is connected by turning pair A to slider 4 which moves along fixed guides p-p whose axis is perpendicular to axis 0x. Cross-piece Ad of slider 3 is connected by a sliding pair to slider 5 which, in turn, is connected by turning pair B to slider 5. Slider 5 moves along fixed guides q-q whose axis coincides with axis 0x. Cross-piece Be of slider 6 is connected by a sliding pair to slider 7 which, in turn, is connected by turning pair C to slider 8. Slider 8 moves along fixed guides p-p. Cross-piece Cf of slider 7 is connected by a sliding pair to slider 2. Figure DABC is always a rectangle. When link 1 turns about axis 0, point D of slider 2 describes parabolic folium s-s with the equation ρD=0͞D=a*cos(2ϕ)/cos³(ϕ) or x³=a(x²-y²) where ϕ ist he polar angle between vector ρD and polar axis 0x.
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Documents: Lever mechanisms  [Streambook]
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