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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR CONVERTING CIRCLES INTO FOURTH-ORDER CURVES

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The lengths of the links comply with the condition: A͞C=r, where r is the radius of circle p-p which is to be converted into a fourth-order curve. Link 1 turns about fixed axis A and is connected by turning pair C to slider 3. Link 4 turns about fixed axis 0 and is connected by sliding pairs to sliders 5 and 3. Slider 5 is connected by turning pair B to slider 6 which moves along fixed guides t-t whose axis is parallel to axis 0y. Cross- piece Bf of slider 6 has its axis parallel to axis 0x and is connect- ed by a sl iding pair to cross-shaped slider 2 which has guides perpendicular to each other. Link 7 is connected by turning pair C to slider 3 and by a sliding pair to slider 2. When link 1 turns about axis A, point C of slider 3 describes circle p-p and point D of slider 2 describes fourth-order curve q-q with the equation a²x²+x²y²-2a²bx=a²(r²-b²) where a and b are constant dimensions of the mechanism.
$1223$LG,Ge$

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Documents: Lever mechanisms  [Streambook]
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