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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 6πr. The average transmission ratio in a full cycle of the mechanism is i₁₂=z₂/z₁=3 where z₁ and z₂ are the numbers of teeth of gears 1 and 2. The transmission ratio varies three times each cycle within the limits from: i_min=2.65 to i_max=3.44 at e=0.1r; i_min=2.42 to i_max=3.79 at e=r/6; i_min=2.32 to i_max=3.98 at e=0.2r; i_min=2.18 to i_max=4.31 at e=r/4; i_min=2.05 to i_max=4.67 at e=0.3r; i_min=1.97 to i_max=4.94 at e=r/3; i_min=1.81 to i_max=5.58 at e=0.4r; i_min=1.61 to i_max=6.83 at e=0.5r; i_min=1.42 to i_max=8.70 at e=0.6r; i_min=1.31 to i_max=10.6 at e=2r/3; i_min=1.26 to i_max=11.8 at e=0.7r; i_min=1.18 to i_max=16.3 at e=3r/4;
$2311$SG,3L$

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Documents: Gear mechanisms  [Streambook]
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