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ARTOBOLEVSKY LINK-GEAR CONICOGRAPH

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The lengths of the links comply with the conditions: 0͞Px0͞B=0͞D². Link 1, having the form of a bent lever, turns about fixed axis 0. Arm Da of link 1 moves in slider 6. Link 7, connected by turning pair D to link 1, moves in cross- shaped slider 5 which has guides perpendicular to each other. Link 2, turning about axis 0, moves in sliders 5 and 3. Link 3 is connected by turning pair B to slider 6 and by turning pair A to link 4 which turns about fixed axis C. When link 1 turns about axis 0, point P describes a conic section with the equation ρ=p/(1+e*cos(ϕ)) where ρ=0͞P, p=0͞D²/A͞B, e=2A͞C/A͞B, ϕ = polar angle between vector ρ and the polar axis Ox. Point P describes an ellipse when e<1, a parabola when e=1 and a hyperbola when e>1.
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Linked items
Documents: Lever mechanisms  [Streambook]
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