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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 4πr. The average transmission ratio in a full cycle of the mechanism is i₁₂=z₂/z₁=2 where z₁ and z₂ are the numbers of teeth of gears 1 and 2. The transmission ratio varies twice each cycle within the limits from: i_min=1.73 to i_max=2.33 at e=O.1r; i_min=1.57 to i_max=2.60 at e=r/6; i_min=1.50 to i_max=2.75 at e=0.2r; i_min=1.40 to i_max=3.00 at e=r/4; i_min=1.31 to i_max=3.29 at e=0.3r; i_min=1.25 to i_max=3.50 at e=r/3; i_min=1.14 to i_max=4.00 at e=0.4r; i_min=1.00 to i_max=5.00 at e=0.5r; i_min=0.88 to i_max=6.50 at e=0.6r; i_min=0.80 to i_max=8.00 at e=2r/3; i_min=0.77 to i_max=9.00 at e=0.7r; i_min=0.72 to i_max=11.0 at e=3r/4;
$2309$SG,3L$

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Documents: Gear mechanisms  [Streambook]
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