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LEVER-GEAR MECHANISM WITH AN ECCENTRIC GEAR

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Circular gear 1 rotates about fixed axis A located at the distance e from geometric axis B of the gear. Gear 1 meshes with gear 2 which, in turn, meshes with gear 5 rotating about fixed axis D. Links 3 and 4 are connected by turning pairs B, C and D to gears 1, 2 and 5 and to the base. When driving gear 1 rotates at uniform velocity,driven gear 5 rotates at nonuniform velocity. The kind of motion of gear 5 can be varied by reducing or increasing eccentricity e. The angular velocities ω₁, ω₂, ω₄ and ω₅ of gears 1 and 2, link 4 and gear 5 are related by the equation ω₅=ω₁(i₂₁/i₂₅)+ω₂((1-i₂₁)/i₂₅)-ω₄((1-i₂₅)/i₂₅) where i₂₅=ω₂/ω₅=-z₅/z₂, i₂₁=ω₂/ω₁=-z₁/z₂, and z₁, z₂, and z₅ are the numbers of teeth of gears 1, 2 and 5. Angular velocities ω₄ and ω₅ are determined on the basis of the given dimensions of four-bar linkage ABCD.
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Documents: Gear mechanisms  [Streambook]
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