多级行星齿轮传动系统非线性动力学建模与分析

发布时间：2018-05-09 01:28

本文选题：多级行星齿轮传动 + 齿面摩擦力　；参考：《昆明理工大学》2017年硕士论文

【摘要】：多级行星齿轮传动系统多应用于大型风力发电装置、矿山机械及盾构机等复杂机械中,具有结构紧凑、传动比大、承载高、传动平稳等优点,在业界深受欢迎。但多级行星齿轮装置结构多、动态耦合复杂、非线性因素丰富,至使动力学模型精确性难以保证,动力学特性研究不够深入,制约了多级行星齿轮的发展及应用。多级行星齿轮振动与噪声的分析建立在动力学研究的基础上,振动与噪声不仅影响了工作环境,同时也降低了设备正常运行寿命。因此,对多级行星齿轮传动系统动力学特性进行研究,在工程应用与理论研究上具有重要意义。本文基于多级行星齿轮传动系统,考虑了齿面摩擦力及摩擦系数的计算方式,为多级行星齿轮传动系统的动力学精细化建模及结构优化奠定了基础;齿侧间隙下分岔特性的分析使多级行星齿轮传动系统的动态特性更加丰富,使论文的研究更具完整性。本文主要研究内容如下:基于齿面摩擦力、时变啮合刚度、箱体耦合及级间耦合等因素,建立了多级行星齿轮传动系统非线性耦合扭转动力学模型,运用数值方法求解了不同摩擦系数下的振动响应,对比了不同摩擦系数下各构件的振动幅值,并预估μ=0.01时,不同转速下的振动响应;将摩擦润滑状态进行归类,分析了各种状态下的摩擦系数计算方式,在流体润滑状态下考虑齿面摩擦力的时变影响,运用数值方法求解了参数激励下的振动响应。基于齿侧间隙、齿面摩擦力、时变啮合刚度、级间耦合等因素,推导出多级行星齿轮传动系统非线性量纲一动力学方程,获取了传动系统在激励频率作用下,分岔通往混沌道路的非线性振动特性,综合运用相图和Poincare截面对通往混沌道路进行了阐述。以背靠背形式搭建了多级行星传动试验平台,对二级行星齿轮箱进行了振动测试,同时获取箱体各测点Z向振动数据、相位图及Poincare图。
[Abstract]:Multi-stage planetary gear transmission system is widely used in large wind power plants, mining machinery and shield machines. It has the advantages of compact structure, high transmission ratio, high bearing capacity, stable transmission and so on, and is very popular in the industry. However, the multi-stage planetary gear device has many structures, complex dynamic coupling and rich nonlinear factors, which makes it difficult to guarantee the accuracy of the dynamic model, and the research of dynamic characteristics is not deep enough, which restricts the development and application of multi-stage planetary gear. The analysis of vibration and noise of multistage planetary gear is based on the dynamic research. Vibration and noise not only affect the working environment, but also reduce the normal service life of the equipment. Therefore, it is of great significance to study the dynamic characteristics of multistage planetary gear transmission system in engineering application and theoretical research. Based on multistage planetary gear transmission system, the calculation method of tooth surface friction and friction coefficient is considered in this paper, which lays a foundation for dynamic fine modeling and structure optimization of multistage planetary gear transmission system. The dynamic characteristics of multistage planetary gear transmission system are enriched by the analysis of bifurcation characteristics under tooth side clearance, which makes the research of this paper more complete. The main contents of this paper are as follows: based on the factors of tooth surface friction, time-varying meshing stiffness, box coupling and interstage coupling, the nonlinear coupling torsional dynamics model of multistage planetary gear transmission system is established. The vibration response under different friction coefficients is solved by using numerical method, the vibration amplitude of each member under different friction coefficient is compared, and the vibration response at different rotational speeds is predicted when 渭 0. 01. The friction lubrication state is classified. The calculation methods of friction coefficient in various states are analyzed. The time-varying influence of tooth surface friction is considered under the condition of fluid lubrication, and the vibration response under parametric excitation is solved by numerical method. Based on the factors of tooth side clearance, tooth surface friction, time-varying meshing stiffness and interstage coupling, the nonlinear dimensional-dynamics equation of multistage planetary gear transmission system is derived, and the drive system under excitation frequency is obtained. The nonlinear vibration characteristics of bifurcation leading to chaotic road are expounded by using phase diagram and Poincare cross section. A multistage planetary transmission test platform was built in the form of back-to-back. The vibration test of the secondary planetary gearbox was carried out. At the same time, the Z direction vibration data, phase diagram and Poincare diagram of each measuring point of the box were obtained.
【学位授予单位】：昆明理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.425

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