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ARTOBOLEVSKY LINK-GEAR MECHANISM FOR TRACING TRISECANT CURVES

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The lengths of the links comply with the conditions: 0͞A=A͞B=B͞C=C͞0=0͞F=F͞G=G͞E=E͞0=a and 0͞H=a/2. Figures OABC and OFGE are rhombus linkages. Link 1, turning about fixed axis 0, is connected by sliding pairs to sliders 2 and 8, and by turning pair A to link 3. Link 5, turning about axis 0, is connected by a sliding pair to slider 5 and by turning pair E to link 7. Link 10 has the form of a bent lever with angle FHf equal to 90°. Link 10 turns about axis 0 and is connected by turning pair F to link 9. Arm Hf of link 10 moves in slider 11 which is connected by turning pair D to slider 2. Links 7 and 9 are connected by turning pairs G to slider 8 which moves along axis 0m of link 1. Link 3 is connected by turning pair B to slider 6 which moves along axis 0n of link 5. Slider 6 is connected by turning pair B to link 4 which turns about fixed axis C. When link 1 turns about axis 0 , point D of slider 2 describes a trisecant curve with the equation ρD=0͞D=a/(2cos(ϕ/2)) or (a²-y²)(x²+y²)=a⁴/4 where a = constant dimension of the mechanism ϕ = polar angle between vector ρD and polar axis 0x.
$1211$LG,Ge$

Linked items
Documents: Lever mechanisms  [Streambook]
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