The Open Mechanical Engineering Journal

2014, 8 : 879-884
Published online 2014 December 31. DOI: 10.2174/1874155X01408010879
Publisher ID: TOMEJ-8-879

The Equation of the Contact Line of the Involute Curvilinear-Tooth Cylindrical Gear Pump for the Agricultural Tractor

Yi-Qiang Jiang , Li Hou and Yong Zhao
School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065, China.

ABSTRACT

In order to derive the equation of the contact line of the involute curvilinear-tooth cylindrical gear pump for the agricultural tractor, the tooth surface of the involute curvilinear-tooth cylindrical gear is firstly generated as that of the spur or helical gear. Then the equation of the tooth surface is derived from changing the settings and orientations of the coordinate systems after the equation of the tooth profile in an arbitrary radial section is calculated by the methods of differential geometry. Based on the equation of the tooth surface, the meshing equation of the two gears is further acquired and then the equation of the contact line. Finally, the tooth surface and the contact line are simulated with mathematical software. The results suggests that the contact line between two curvilinear-tooth cylindrical gears is an arc line in the surface of action; and this line, shaped as an arc line in the generating plane of the tooth surface, is longer than that of the spur or helical gear with the same face width.

Keywords:

Curvilinear-shaped tooth , equation of the contact line, gear pump, tractor.