Title: Stability study of gear meshing area considering friction of tooth surface

Authors: Xiaopeng Li; Dehua Sun; Youjian Liang; Dan Wang

Addresses: School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, PR China ' School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, PR China ' School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, PR China ' School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China

Abstract: In order to study the spur gear's dynamic characteristics under the condition of considering tooth surface friction, tooth surface friction model is established based on Stribeck model and the change rule of friction coefficient is obtained. The vibration differential equations of single meshing area and double meshing area are established based on the friction coefficient and the numerical simulation of the vibration differential equations is carried out by using Runge-Kutta method, and the influence of various parameters on the system dynamic characteristics is obtained. It can be seen from the phase diagram and Poincare section that in the single meshing area and double meshing area, the following measures can enhance the stability of the system: increase the damping ratio, exciting frequency away from the resonance region, increase the load and reduce the gear backlash.

Keywords: tooth surface friction; single meshing; double meshing; numerical simulation; stability; gear meshing; gear tooth surfaces; spur gears; friction coefficient; vibration differential equations; damping ratio; resonance region; load increase; gear backlash.

DOI: 10.1504/IJISE.2016.075206

International Journal of Industrial and Systems Engineering, 2016 Vol.22 No.4, pp.466 - 483

Received: 30 Jan 2014
Accepted: 21 Jul 2014

Published online: 08 Mar 2016 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article