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KAMINSKY LINK-GEAR CONICOGRAPH

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The lengths of the links comply with the conditions:D͞C²+B͞F²=C͞B²+D͞F² and A͞B:C͞B=B͞G:B͞F. The mechanism is based on four-bar linkage OABG. Link 5 is connected by turning pair B to links 6 and 7, and by a sliding pair to slider 1 which moves along slot p of link 5 . Slider 1 is connected by turning pairs D to links 8 and 9 which, in turn, are connected by turning pairs C and F to links 6 and 7. Owing to the specified lengths of the links, the axis of slot p of link 5 is always perpendicular to diagonal AG of four-bar linkage OABG. Sliders 2 and 3, connected together by turning pair E, move along slots p and q of links 5 and 4. Point E describes a conic section with the polar equation ρ=p/(1+e*cos(ϕ)) where ρ=0͞E, p=(0͞G²+A͞B²-0͞A²-G͞B²)/20͞A, e=0͞G/0͞A. Point E describes an ellipse when e<1, a parabola when e=1 and a hyperbola when e>1. The axis of guiding slot p of link 5 is always tangent to the traced conic section. The mechanism is set up by adjusting pivot A along slot q and clamping it in the required position.
$1116$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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