A Mathematical Model for Parametric Tooth Profile of Spur Gears

Abstract

Spur gears are widely used transmission components. In the traditional design process, the noninvolute part of the tooth profile curve is difficult to describe with mathematical equations. is article puts forward a new parametric modeling method, which can describe the modified involute part of spur gears and parameterize and optimize the transition part of the involute curve of the spur gear. And this model of the spur gear can be created by parameters which is input in Scilab software and the spur gear graphic can be completed correspondingly. e experiments show that this modeling method can more quickly produce the standard spur or modified spur gear, and it also improves the efficiency and accuracy of spur gear modeling.

Geometry Modeling of a Spur Gear using Parametric Equation & Global Variables.

“…The Spur gear is a cylindrical shaped gear in which teeth are parallel to the axis. The parallel axis gears have the highest efficiency among all categories of the gear [1]. The spur gears are very popular due to its simple design, ease in manufacturing& low transmission errors [2].…”