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ME321 Kinematics and Dynamics of Machines. Steve Lambert Mechanical Engineering, U of Waterloo. Gears. Spur Gears - Parallel shafts and ‘straight’ teeth. Gears . Example internal spur gear. Example rack and pinion. Helical Gears.
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ME321 Kinematics and Dynamics of Machines Steve Lambert Mechanical Engineering, U of Waterloo
Gears Spur Gears - Parallel shafts and ‘straight’ teeth
Gears Example internal spur gear Example rack and pinion
Helical Gears Helical gears are smoother and quieter than spur gears, but are more expensive, are not easily engaged, and they generate a thrust load
Bevel Gears Straight bevel gears Skew bevel gears
Hypoid and Worm Gears Hypoid gear Worm gear
Fundamental Law of Gearing We require a constant velocity ratio. For this to be possible, the common normal of the contacting tooth flanks must always pass through the pitch point.
Involute Action Imagine that the gears are replaced by two cylinders connected by a string This system will satisfy our fundamental law The path traced by Q will represent our tooth profile
Involute Action These are equivalent. Path traced by point Q is an Involute.
Gear Nomenclature Pitch Circle Circular Pitch Addendum Dedendum Clearance Diametral Pitch: Circular Pitch:
Standard Gears Diametral Pitch:
Interacting Gears • Centre Distance (r2 + r3) • Contact Ratio • Interference
Contact Ratio Contact ratio is the average number of teeth in contact CR = length of line of action / base (circle) pitch CR = l / BP
Contact Ratio CR = l / BP, where: Line of action: l = AC-AP + DB-DP
Interference Interference occurs if point C falls outside point D - contact beyond involute profile occurs if O2C > O2D where: