齿轮传动系统动力学摩擦学和强度耦合研究

发布时间：2018-07-22 14:08

【摘要】：齿轮是机械传动中的基础部件,其动力学、摩擦学和强度等机械行为的分析一直是齿轮研究的热点。但由于其复杂的工作状况,理论研究难度较大,以往的分析都是在各自独立的领域里分别进行的。其实当齿轮运转时,各种机械行为是同时发生并相互影响的。本文从耦合的观点出发,研究齿轮传动系统动力学、摩擦学和强度等机械行为,揭示其耦合作用关系,具有理论意义和工程价值。首先,本文在分析现有齿轮传动系统动力学、摩擦学和强度研究现状的基础上,阐述了齿轮多学科耦合研究的必要性。其次以渐开线齿轮为研究对象,建立齿轮单自由动力学模型,利用数值方法求解齿轮单自由度振动微分方程,得到了齿轮动力学响应(齿面动载荷、振动位移、振动速度等)沿整个啮合线的变化规律。第三,根据经典线接触弹流润滑理论,利用Newton-Raphson法求解润滑方程,获得了压力、油膜厚度沿齿轮传动啮合线的分布。第四,分析齿轮动力学与摩擦学的耦合特点,指出润滑油膜是建立齿轮动力学与摩擦学之间联系的桥梁,求解齿轮润滑油膜的动态刚度是解决齿轮动力学、摩擦学耦合的关键。然后以齿轮动力学分析为主运算框架,调用摩擦学分析子模块,求得了动态的润滑油膜刚度。从而得出考虑耦合因素后的齿轮动力学响应和摩擦学特性,对比了耦合分析和非耦合分析下齿轮系统动力学、摩擦学行为的差异。第五,在考虑齿轮动力学和摩擦学耦合效应的前提下,完成了齿轮强度(接触疲劳强度、弯曲疲劳强度)的计算。最后,总结本文所做的工作和主要创新点,指出研究过程中的不足,以及对未来齿轮耦合研究的几点展望。
[Abstract]:Gear is the basic part of mechanical transmission. The analysis of mechanical behavior such as dynamics, tribology and strength has been a hot spot in gear research. However, due to its complex working conditions, theoretical research is difficult, the previous analysis is carried out separately in their own independent fields. In fact, when the gear is running, all kinds of mechanical behavior occur at the same time and affect each other. From the point of view of coupling, this paper studies the mechanical behaviors of gear transmission system such as dynamics, tribology and strength, and reveals the coupling relationship, which has theoretical significance and engineering value. Firstly, on the basis of analyzing the present research status of dynamics, tribology and strength of gear transmission system, the necessity of multi-disciplinary coupling research of gear is expounded in this paper. Secondly, the involute gear is taken as the research object, and the single free dynamic model of gear is established. The differential equation of vibration of gear with single degree of freedom is solved by numerical method, and the dynamic response of gear (dynamic load on tooth surface, vibration displacement) is obtained. The variation of vibration velocity along the whole meshing line. Thirdly, according to the classical linear contact elastohydrodynamic lubrication theory, the Newton-Raphson method is used to solve the lubrication equation, and the distribution of pressure and film thickness along the meshing line of gear transmission is obtained. Fourthly, the coupling characteristics of gear dynamics and tribology are analyzed. It is pointed out that lubricating oil film is a bridge to establish the connection between gear dynamics and tribology, and the key to solve the coupling of gear dynamics and tribology is to solve the dynamic stiffness of gear lubricating oil film. Then the dynamic lubricating oil film stiffness is obtained by using the tribology analysis sub-module and the gear dynamics analysis as the main calculation frame. The dynamic response and tribological characteristics of gears considering coupling factors are obtained, and the differences of dynamics and tribological behaviors of gear system under coupling analysis and non-coupling analysis are compared. Fifthly, the calculation of gear strength (contact fatigue strength and bending fatigue strength) is completed on the premise of considering the coupling effect of gear dynamics and tribology. Finally, this paper summarizes the work done in this paper and the main innovation points, points out the deficiencies in the research process, as well as some prospects for the future research on gear coupling.
【学位授予单位】：安徽工程大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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