Ch9 Gears

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  1. Epicyclic or Planetary Gears
    • annulus: outer ring gear which meshes with the planet gears
    • carrier: movable arm
    • 2 DOF
    • system requires control of 2 inputs to produce 1 output
    • high torque output
    • load shared equally across planet gears means longer life for each
    • total motion of any gear is sum of motion of arm and motion of gear with respect to arm
    • if arm were stationary would get a simple gear train
    • => all motion relative to arm is analyzed as simple gear train
  2. Differential Mechanism
    • receives 1 input and produces 2 outputs
    • designed to drive a pair of wheels with equal torque while allowing them to rotate at different speeds
    • a vehicles wheels rotate at different speeds especially when turning corners
    • when turning outside wheel rotates faster and inside wheel rotates slower
  3. Fundamental Law of Gearing
    • The angular velocity ratio mv is constant at all positions
    • The torque ratio mT is constant at all positions
    • Gear tooth contours on mating teeth must be conjugates (involute curve)
  4. Involute Curve
    size of teeth must be the same for gears to mesh
Card Set
Ch9 Gears
Mechanisms Final
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