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ARTOBOLEVSKY LINK-GEAR HYPERBOLOGRAPH

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Slider 1, moving along fixed guides q-q, has cross-piece CB which is connected by turning pair B to link 3, and cross-piece Cm which moves in slider 5. Link 3, connected by a sliding pair to slider 2, moves in slider 4 which turns about fixed axis A. Sliders 2 and 5 are connected together by turning pair D. When slider 1 moves along guides q-q, point D describes hyperbola p-p with the equation ex²+efxy+ky²+2gx+2hy=0 where e=tan(α)tan(β), f=-(tan(α)+tan(β ))/2, g=-(2a+b)tan(α)tan(β)/2, k=1, h=(2a*tan(α)-b*tan(β))/2, b and a = constant dimensions of the mechanism. The axis of guides q-q makes the angle α with the direction BC and axis Ax. The axis of cross-piece Cm of slider 1 makes the angle β with axis Ax and angle 180°-β with the direction BC.
$1075$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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