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第 31 卷 第 5 期 2017 年 9 月湖　南　工　业　大　学　学　报Journal of Hunan University of TechnologyVol.31 No.5 Sep. 2017 doi:10.3969/j.issn.1673-9833.2017.05.011收稿日期：2017-05-22基金项目：国家自然科学基金资助项目（51375159，51575533），湖南省自然科学基金（株洲联合）资助项目（2015JJ5020）作者简介：冯仕伟（1993-），男，湖北石首人，湖南工业大学硕士生，主要研究方向为数字化制造理论与技术， E-mail：2278791919@qq.com齿面摩擦激励对面齿轮传动系统振动特性的影响冯仕伟，何国旗，王其雷，孙 能，邓澍杰（湖南工业大学 机械工程学院，湖南 株洲 412007）摘　要：以正交面齿轮传动系统为研究对象，建立了考虑齿面摩擦激励的面齿轮传动系统非线性动力学模型，基于 4~5 阶的自适应变步长的龙格库塔法对该模型进行数值仿真求解，结合分岔图、时间历程图、poincare 图等分析齿面摩擦系数对系统的振动特性的影响，并研究不同参数对系统响应发生倍周期分岔时摩擦系数临界点的影响。结果表明：系统响应随齿面摩擦系数的增大依次呈现出单周期简谐响应、倍周期次谐响应、混沌响应；面齿轮齿宽和圆柱齿轮驱动扭矩越大，系统响应发生倍周期分岔时的摩擦系数临界点数值越大，且随着齿宽和驱动扭矩的增大，其摩擦系数临界点变化曲线斜率越。ぞ囟云浔浠咝甭式铣菘碛跋齑螅幻娉萋殖菔拖低吵莶嗉湎对酱，系统响应发生倍周期分岔时的摩擦系数临界点数值越。淠Σ料凳俳绲惚浠咝甭仕婷娉萋殖菔龃蠖跣。莶嗉湎抖云浔浠咝甭驶久挥杏跋 。关键词：面齿轮传动；非线性动力学；摩擦系数；振动特性中图分类号：TH132.41　　　 文献标志码：A　　　 文章编号：1673-9833(2017)05-0065-07Research on the Inf l uence of Tooth Surface Friction on Nonlinear Vibration Characteristics of the Face-Gear Drive SystemFENG Shiwei，HE Guoqi ，WANG Qilei，SUN Neng，DENG Shujie（School of Mechanical Engineering，Hunan University of Technology，Zhuzhou Hunan 412007，China）Abstract：Taking the orthogonal face gear drive system as the research object, a nonlinear dynamic model, in consideration of the tooth surface friction, has been established of the face gear drive system. A numerical simulation has been performed to solve the model by Runge Kutta method with variable step size adaptive 4~5 order based on the combination of bifurcation diagram, time history diagram, and poincare diagram to analyze the inf l uence of the vibration characteristics of gear tooth friction coeff i cient on the system, followed by a study on the inf l uence of different parameters with period doubling bifurcation on the critical point of friction coefficient. The results show that the response of the system increases positively with the increase of the friction coeff i cient of the tooth surface, successively making the system response in a state of a single period harmonic response, a period doubling subharmonic response and a chaotic response. The greater the gear tooth width and the driving torque of the cylindrical gear, the greater the critical coeff i cient of friction coeff i cient will be, with the system responding to the period doubling bifurcation. With the increase of tooth width and driving torque, the smaller the slope of the critical coeff i cient of the friction coeff i cient, the smaller the slope of the driving torque will be to the width of the tooth. The larger the number of face teeth and the