Calculation of the main parameters of cilindrical gear

damaged gear in order to calculate the dimensions of the gear and to manufacture a new one.
 Parameters of the teeth making tool ha*, c*, .
The goal of this laboratory is to master the technique of analysis the cylindrical straight teeth
evolvent gear by calculating its main parameters.
Suppose the gears are manufactured by means of the standard teeth making tool (ha* = 1, c* =
0,25;  = 20) using the rolling method.
Profiles of evolvent gears teeth are parts of the evolvents of the circle(base).
An evolvent is drawn by any point of line AB (Fig. 2.1) rotated in a certain circle with a diameter
db, referred to as the base circle. The tangent to the base diameter, crossing the evolvent will be
perpendicular to the evolvent. This characteristic feature of the evolvent is used to calculate the
parameters of the gear.
If we envelope several teeth by a measuring instrument with flat measure surfaces in a way that
these surfaces touch the sides of the gear teeth (but not the tops), for instance at points A and B
(Fig. 2.1), the line connecting these points AB becomes the general perpendicular of these
profiles of the teeth and will touch the base circle. If this line is rotated without sliding around
this diameter, points A and B will draw involutes and come to the main points Ab and Bb, located
on the base circle. The length of the bow AbBb is equal to the length of the general perpendicular
AB.
To calculate parameters of the gear it is necessary to measure two general perpendiculars, one of
which envelops zn of the teeth, and the other - (zn-1).
To make the measuring instrument touch the teeth profiles due to its evovent parts in both
measurements, the number of enveloped teeth zn should be selected correspondingly to the
number of teeth of the gear z:
z 12 - 18 19 -...

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