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SIX-SLOT EXTERNAL GENEVA WHEEL MECHANISM

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Pin wheel 1 rotates about fixed axis A and carries pin a which consecutively engages straight radial slots d of Geneva wheel 2. Geneva wheel 2 rotates about fixed axis B and its slots d are located symmetrically at angles of 60° between the axes of adjacent slots. Pin wheel 1 has concentric locking surface b which engages concave locking surfaces e of Geneva wheel 2 during its idle periods. When driving pin wheel 1 rotates continuously at uniform velocity, driven Geneva wheel 2 rotates intermittently at nonuniform velocity and has six rotation periods tᵣ and six idle periods tᵢ. Locking surfaces b and e prevent unintentional rotation of Geneva wheel 2 during its idle periods. The time of one revolution of pin wheel 1 is T=tᵣ+tᵢ. The angles of rotation of pin wheel 1 corresponding to an idle and to a rotation period of Geneva wheel 2 equal ϕᵢ=240° and ϕᵣ=120°. The angle of rotation of Geneva wheel 2 to each revolution of pin wheel 1 is ϕ_G=60°. The rotation and idle factors are p=tᵣ/T=0.3333 and q=tᵢ/T= 0.6667. The working time coefficient is k=p/q=0.5. The transmission ratio from the Geneva wheel to the pin wheel is i₂₁=ω₂/ω₁=(λ(cos(ϕ₁)-λ))/(1-2λ cos(ϕ₁)+λ²) where λ=R/L, R is radius A͞D. L is centre-to-centre distance A͞B, ϕ₁ is the instantaneous angle of rotation of pin wheel 1 measured from line AB, and ω₁ and ω₂ are the angular velocities of pin wheel 1 and Geneva wheel 2. The maximum value of the transmission ratio is i₂₁=ω₂/ω₁=1. Coefficient χ characterizes angular acceleration ε₂ of Geneva wheel 2 at the instants when pin a begins and ends engagement with a slot d, and equals χ=ε₂/ω₁²=0.577. Pin wheel 1 and Geneva wheel 2 rotate in opposite directions.
$2624$PG,GW$

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Documents: Gear mechanisms  [Streambook]
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