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  References Material - Gearbox  

  Basic Geometry of Involute Gear  
 

 

In general, the profile of involute teeth by using a cylinder. The involute curve by using a pencil which attached to the end of a taut string and unwinds from a cylinder. It is imagined that an end point of the string is pulled taut in one direction, then project its trace onto a plane that rotates with the base circle of culinder. The mating of teeths can be understanded by imahingy two taut strings that unwind from cylinders seperately. A moving intersection points formed along the tangent line of both base circlers when the gear pair is rotating. This pair of involutes is conjuate becaouse all points of contact having the common normal and tangent to their base circles. The tangent line two base circle "line of contact" which passes through the line of centres establishes the pitch point P. This in turn sets the size of pitch diameters.

 
 

Gear Formula of Spur Gear

 
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A mating gear pair must have same module(m), which are meadurements of tooth sizes, (0.3mm, 0.5mm, 1mm, etc.) as well as the same pressure angle.

Outside diameter: Dk = D0 + 2m

Pitch diameter: D0= Z x m

Circular pitch: Pc = p x m

On the above formula, it shown that the pitch diameters of mating gear are tangent to each others. Hence, we can determine the centre distance between any spur gears are show here:

a = (Z1 + Z2)m/2 = D01 + D02/2

Where:

a = Distance between two gear center point

Z= No. of teeth

m= Module in mm

   

  Gear Formula of Spur Gear  
 

In order to find the revolutions, speed and even the torque of the output gear, train value e is a most relevant data that we can find from the formula below:

E=product of driving teeth numbers/ product of driving driven teeth numbers

nL= E x nF

where:

nL: speed of the last gear

nF: speed of the first gear

N: teeth numbers

 

 

  Gear Train  
 

Speed and even the torque of the output gear, train value e is a most relevant data that we can find from the formula below:

e=P1/ P2 = N1*N2*N4/N2/N3*N5

NL= e x nF

Where

NL: speed of the last gear

NF: speed of the first gear

N : teeth number

 

 

 

 

(An AC motor & DC motor manufacturer with 24 years experience )