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LEVER-GEAR MECHANISM WITH CIRCULAR AND NONCIRCULAR GEARS

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Circular gear 1 rotates about fixed axis A, located at the distance e from the geometric axis 0 of gear 1. Noncircular gear 2 rotates about fixed axis B. The shapes of the pitch centrodes of gears 1 and 2 comply with the conditions: the shape of the centrode of gear 1 is a circle with the perimeter 2πr, where r is the pitch radius of gear 1; and the centrode of gear 2 is composed of two identical symmetrical arcs a, each of the length 2πr. The average transmission ratio of the gearing in a full cycle of motion is i₁₂=2. During the cycle the transmission ratio varies within the limits from i_min=(1-e)/(m-(1-e)) to i_max=(1+e)/(m-(1+e)) where ε=e/r, m=L/r, and L is the distance between centres A and B. Connecting rod 4 is connected by turning pairs C and D to gear 2 and slider 3. Slider 3 moves along fixed guides b-b. The required motion of slider 3 can be obtained by varying the eccentricity e.
$2433$LrG,5L$

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Documents: Gear mechanisms  [Streambook]
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