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ARTOBOLEVSKY LINK-GEAR TRACING AND ENVELOPING MECHANISM FOR ELLIPSES

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Link 1, rotating about fixed axis G, is connected by turning pair M to link 3 which has the form of bent lever dMf with the angle ϕ between the arms. Arm Md of link 3 moves in slider 4 which rotates about fixed axis F, and arm Mf slides in cross-shaped slider 2 which has guides with axes perpendicular to each other. Sliders 6 and 5 are connected together by turning pair P. They slide in directions Fm and Gn along links 4 and 1. Centre F is placed at one focus of an ellipse and centre G on axis 0y, passing through the centre of the ellipse, so that the distance G0 equals G͞0=0͞F/tan(ϕ) The length G͞M on link 1 is taken equal to G͞M=a/sin(ϕ), where a is the major semiaxis of the ellipse. Then, when link 1 rotates, straight line Mf envelops ellipse q-q and point B of slider 2, at the intersection of directions Pp and M f , describes ellipse q-q.
$1057$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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