Post on 11-Apr-2018
Gear Tooth Involute Function Derivation Conversion from degrees to radians:
..
180 .
180 .
Radius of Curvature at Point “A” (an arbitrary point):
. Where:
, "A" " "
is an arc length of the “string” unwound from the basic circle and therefore it can be written as:
ρA ΘA
3602πR
πΘAR180
2πR circumference of the base circle ΘA angle deg. The same equation can be expressed in radians:
ρA ΘAR ΘA ρA
R
ΘA angle rad.
Substituting Radius of Curvature at Point “A” equation:
ΘA
.
R
And,
tan ρA
R ΘA
Also, ΘA
Therefore:
Gear Tooth Involute Function tan
angle rad. angle deg. angle rad.