Session: PTG-01-01: Gear Geometry

Paper Number: 143128

143128 - Cutting Meshing Principle With Two-Degree-of-Freedom for Involute Helical Gear 

Based on the existing 2DOF (two degree-of-freedom) theory of gearing, this paper proposes partial relative angular velocity and partial relative velocity concepts, and established two independent equations of meshing condition and the equations of two-parameter enveloping surface. Firstly, using the meshing limit function, two cases of the contact path on the generating surface are clarified. Then, systematic and thorough investigations are performed into the formation principle of the cylindrical gear tooth surface by an involute hob based on the novel 2DOF theory of gearing. A numerical example is mentioned to evaluate accuracy of the presented model. The meshing limit line of generating surface is obtained to determine it is the intersection line of the involute surface and the hyperboloid of one sheet. In the axial section of the hob, the meshing limit line is a hyperbola whose real axis is perpendicular to the axis of the hob. Based on the novel 2DOF theory of gearing, the formation principle of the workpiece tooth surface is simplified and clarified. The tooth surface equation of the cylindrical gear is proposed to show that the workpiece tooth surface is an involute helicoid surface. The accuracy of the presented model is validated through numerical examples. The developed theory in this paper can be applied to other 2DOF gear drives as well.

Presenting Author: Yaping Zhao Provincial Key Laboratory of Dynamics and Reliability of Mechanical Equipment, Northeastern University, Shenyang 110819, China

Presenting Author Biography: Prof. Yaping Zhao, PhD, Professor, College of Mechanical Engineering and Automation, Northeastern University, No. 11 Lane 3, Wenhua Road, Heping District, 110819 Shenyang, Liaoning, China; Email: zhyp_neu@163.com.

Authors:

Xiaonan Zhang Northeastern University
Yaping Zhao Provincial Key Laboratory of Dynamics and Reliability of Mechanical Equipment, Northeastern University, Shenyang 110819, China