Analysis of nonlinear dynamic characteristics of planetary gears considering the influence of wear and temperature effects

Abstract

The phenomenon of gear backlash is observed to increase as the planetary gears undergo wear, leading to an exacerbation of vibrations within the gear gearbox system. This heightened wear further contributes to the generation of substantial heat, consequently causing an elevation in temperature. As a consequence, the thermal deformation of the gear occurs, thereby affecting its capacity to effectively transmit power. This study presents the development of a nonlinear dynamic model for a gear system, incorporating the influence of wear and temperature. The model is constructed by integrating the Archard wear model with the thermal deformation idea. The present work investigates the influence of wear and temperature on the nonlinear dynamic characteristics of a gear system using a range of analytical techniques, such as bifurcation diagrams, maximum Lyapunov index charts, phase diagrams, and Poincare cross-section diagrams. The results indicate that as the temperature increases, the system transitions from multi-cycle motion to single cycle motion. When there is slight wear (28 microns), increasing the temperature appropriately can suppress the chaotic motion of the system. When there is severe wear (70 microns), the gears must be replaced.