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Lecture--Week10 - McMaster University Engineering Design...

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McMaster University Engineering Design & Graphics Engineering 1C03 Dr. T. E. Doyle, P.Eng Dept. of Electrical and Computer Engineering
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Overview Recall spur gear terminology Examples of gear ratios Gear design formulae Design triangle updated Gear ratio revisited Worm Online resources
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Recall: Spur Gear Terminology
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Simplified Ideal Gear Design Recall the example discussed in lecture. Given the ideal system, conceptually we can see that at the point of contact the two cylinders would have the same speed, but the angular velocity of the smaller gear would be twice that of the larger with opposite direction. Assuming the two cylinders continue to rotate in the same plane, we may determine the resultant angular velocity of small cylinder by using the following gear ratio[2]: w2 ÷ w1 = d1 ÷ d2 where w1, w2 represent the angular velocity and d1, d2 represent the diameter of the respective cylinders.
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Simplified Ideal Gear Ratio Example 1 Consider the gear ratio ( i ) of the above simplified ideal gear pair where gear-1 (diameter = 10 mm) is the input driven gear at 1 revolution per minute (rpm) in the clockwise direction (+ve).
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Simplified Ideal Gear Ratio Example 1 The gear ratio ( i ) of the pair can be calculated using the ratio of diameters ( d2÷d1 ). Thus i = d2 ÷ d1 = 20÷10 = 2, and w 2 = -0.5 rpm.
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Simplified Ideal Gear Ratio Example 2 Consider the gear ratio ( i ) of the above simplified ideal gear train where gear-1 (diameter = 10 mm) is the input driven gear at 1 revolution per minute (rpm) in the clockwise direction (+ve).
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Simplified Ideal Gear Ratio Example 2 The gear ratio ( i ) of the train can be calculated by multiplying the ratio of meshing diameters pairs.
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