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LEVER-GEAR PLANETARY PARALLEL-CRANK MECHANISM WITH A FIXED SUN GEAR

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Cranks 1 and 3 of parallel-crank linkage ABCD rotate about fixed axes A and D. Planet gear 4 is connected by turning pair E to connecting rod 2 and meshes with fixed sun gear 5. The dimensions of the links comply with the conditions: A͞B=D͞C= r, B͞C=A͞D and r₄+r₅=r, where r₄ and r₅ are the pitch radii of gears 4 and 5. The transmission ratio from crank 1 to gear 4 is i₁₄=ω₁/ω₄=r₄/r₁=r₄/(r₄+r₅)=z₄/(z₄+z₅) where ω₁ and ω₄ are the angular velocities of crank 1 and gear 4, and z₄ and z₅ are the numbers of teeth of gears 4 and 5. Crank 1 and gear 4 rotate in the same direction.
$2414$LrG,5L$

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Documents: Gear mechanisms  [Streambook]
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