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THREE-LINK TOOTHED GEARING WITH CIRCULAR-ECCENTRIC AND NONCIRCULAR GEARS

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Gears 1 and 2 rotate about fixed axes A and B. The centre 0 of gear 1 is located eccentrically with respect to its axis A of rotation. The eccentricity equals e. The pitch radius of gear 1 equals r. The length of the centrode of gear 2 equals 2πr. The average transmission ratio in a full cycle of the mechanism i₁₂=z₂/z₁=1 where z₁ and z₂ are the numbers of teeth of gears 1 and 2. The transmission ratio varies once each cycle within the limits from: i_min=0.82 to i_max=1.23 at e=0.1r; i_min=0.73 to i_max=1.41 at e=r/6; i_min=0.68 to i_max=1.53 at e=0.2r; i_min=0.63 to i_max=1.71 at e=r/4; i_min=0.57 to i_max=1.92 at e=0.3r; i_min=0.54 to i_max=2.08 at e=r/3; i_min=0.49 to i_max=2.47 at e=0.4r; i_min=0.42 to i_max=3.25 at e=0.5r; i_min=0.36 to i_max=4.45 at e=0.6r; i_min=0.33 to i_max=5.67 at e=2r/3; i_min=0 .32 to i_max=6.48 at e=0.7r; i_min=0.30 to i_max=8.13 at e=3r/4;
$2310$SG,3L$

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Documents: Gear mechanisms  [Streambook]
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