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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR CONVERTING ELLIPSES INTO ANTIVERSIERAS

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The legths of the links comply with the conditions: A͞D=b, D͞E=a and 0͞0’=0͞’F=a, where a and b are semiaxes of ellipse p-p that is to be converted. The axis of guides t-t passes through centre 0' of ellipse p-p, and the axis of guides r-r is tangent to the ellipse at point F. Slider 1 moves along fixed guides s-s whose axis coincides with axis 0x. Slider 1 is connected by turning pair A to link 3. Link 3 is connected by turning pair D to cross-shaped slider 9 which has guides perpendicular to each other. Link 3 is connected by turning pair E to slider 4 which moves along fixed guides t-t whose axis is parallel to axis 0y. Link 5, turning about fixed axis 0, is connected by sliding pairs to sliders 6 and 7. Slider 7 is connected by turning pair B to slider 8 which moves along fixed guides r-r whose axis is parallel to axis 0y. Cross-piece Bf of slider 8 is connected by a sliding pair to slider P. Link 2 is connected by turning pair C to slider 6 and by a sliding pair to slider 9. When slider 1 moves along guides s-s, point D of slider 9 describes ellipse p-p and point C of slider 6 describes antiversiera q-q of the ellipse. The equat ion of the antiversiera is x⁴-2ax³+4(a⁴/b²)y⁴=0. If the turning axis of link 5 is moved to point 0', then point C describes a curve with the equation x⁴-a²x²+(a⁴/b²)y²=0.
$1212$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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