摘要
为深入探究齿面摩擦对高速列车齿轮系统分岔特性的影响,依据齿轮啮合相关理论以及非线性动力学原理,采用理论分析与数值计算相结合的方法展开研究.针对斜齿轮副啮合过程,剖析齿面摩擦机理,推导摩擦系数的相关公式.建立高速列车齿轮系统的6自由度弯-扭-轴耦合的非线性动力学模型,并进行无量纲化处理.运用数值求解方法,对系统在考虑齿面摩擦与不考虑齿面摩擦两种情况下,分别就随刚度、阻尼变化时的运动特性及分岔特性展开对比分析,涵盖不同刚度系数、综合误差条件下系统随摩擦因数变化的具体情况.研究结果表明:齿面摩擦使系统混沌运动区间缩小,周期运动增多,分岔点提前.且在啮合刚度和综合误差的影响下系统随摩擦系数变化的分岔情况也有明显的特征.该研究成果有助于指导高速列车齿轮系统的优化设计,且对保障高速列车安全高效运行具有重要意义.
To deeply explore the impact of tooth surface friction on the bifurcation characteristics of high-speed train gear systems,the research was carried out by combining theoretical analysis and numerical calculation based on the relevant theories of gear meshing and the principles of nonlinear dynamics.For the meshing process of helical gear pairs,the tooth surface friction mechanism was analyzed and the relevant formulas for the friction coefficient were derived.A 6-degree-of-freedom bending-torsion-axial coupling nonlinear dynamic model of the high-speed train gear system was established and subjected to dimensionless processing.Using the numerical solution method,a comparative analysis of the motion characteristics and bifurcation characteristics of the system when considering and not considering tooth surface friction was carried out respectively with the changes of stiffness and damping,covering the specific situations of the system's bifurcation with the change of the friction coefficient under different stiffness coefficients and comprehensive error conditions.The research results showed that tooth surface friction reduced the chaotic motion interval of the system,increased the periodic motion,and advanced the bifurcation points.Moreover,under the influence of meshing stiffness and comprehensive error,the bifurcation situations of the system with the change of the friction coefficient also had obvious characteristics.The research results are helpful to guide the optimization design of high-speed train gear systems and are of great significance for ensuring the safe and efficient operation of high-speed trains.
作者
张成强
王靖岳
丁建明
ZHANG Chengqiang;WANG Jingyue;DING Jianming(School of Automobile and Transportation,Shenyang Ligong University,Shenyang 110159,China;State Key Laboratory of Rail Transit Vehicle System,Southwest Jiaotong University,Chengdu 610031,China)
出处
《车辆与动力技术》
2025年第1期48-54,共7页
Vehicle & Power Technology
基金
辽宁省自然科学基金项目(2020-MS-216)
轨道交通运载系统全国重点实验室开放课题资助项目(TPL2310)。
关键词
高速列车
齿轮系统
非线性动力学
齿面摩擦
High-speed trains
Gear systems
Nonlinear dynamics
Tooth surface friction