Lecture--Week10

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

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McMaster University 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. Thus i = ( d2 ÷ d1 ) ( d3 ÷ d2 ) = (20÷10) (5÷20) = 0.5, and w 3 = 2 rpm.
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Simplified Ideal Gear Ratio Example 3 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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Example 3 The gear ratio ( i ) of the train can be calculated by multiplying the ratio of meshing diameters pairs. Thus
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This note was uploaded on 01/03/2012 for the course EE 1244 taught by Professor Drera during the Fall '10 term at Conestoga.

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

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