Gears Gears simply change the parameters of mechanical power

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Presentation transcript:

Gears Gears simply change the parameters of mechanical power Pitch-Line Velocity P r1 r2 gear pinion

Tooth Forces r2 F2 T2 T1 r1 F1

Normal velocity must match. Using similar triangles v2 cosθ2 = v1 cosθ1 where v1 = ω1 . O1C ; v2 = ω2 . O2C Want constant rotation rate ratio ω2 /ω1 = v2 . O1C/v1 . O2C = O1C.cosθ1 /O2C.cosθ2 = O1 C1 /O2 C2 = O1 P / O2 P Point P must be fixed

Involute Teeth Gear Geometries

Shafts farther apart than spec. Effect of Errors Shafts at spec. distance Shafts farther apart than spec.