Contact stress prediction model of cylindrical gear with arc tooth

TONG Qin1, ZHANG Qi2, LIANG Jun1, HOU Li3
（1.School of Mechanical and Electrical Engineering, Mianyang Normal University, Mianyang 621000, China;
2.School of Intelligent Manufacturing, Panzhihua College, Panzhihua 617000, China;
3.School of Mechanical Engineering, Sichuan University, Chengdu 610065, China）

Abstract: Aiming at there is no explicitly theoretical formula for calculating contact stress of cylindrical gear with arc tooth to study the influence of the design parameters of cylindrical gear with arc tooth on its contact stress, the Kriging model based on whale optimization algorithm (WOA) was proposed to establish the explicitly mathematical model of the contact stress between the gear design parameters (tooth width, modulus, pressure angle, tooth line radius) and cylindrical gear with arc tooth. The whale optimization algorithm was applied to optimize the parameters of the variation function of the traditional Kriging model to improve its fitting accuracy，the Kriging model based on the optimized variational function parameters was used to establish the mathematical model of display between gear design parameters and contact stress, the proposed algorithm was realized in the MATLAB platform. The simulation results indicate that the precision evaluation index of the Kriging model based on whale optimization algorithm are improved, the error range is narrowed from ［-2,4］ to ［0,3］. The accuracy of the optimized Kriging model has been significantly improved, enabling it to optimize its design parameters and study the significance analysis of the impact of each parameter on its contact stress, providing a more accurate mathematical model.
Key words: cylindrical gear with arc tooth; cylindrical gear; contact stress; surrogate model; design parameters optimization