直齿轮副传递误差及行星轮系静力学均载研究

发布时间：2018-05-13 20:56

本文选题：齿轮啮合 + 静态接触分析　；参考：《大连理工大学》2012年硕士论文

【摘要】：风电行业极大发展,而风电是技术密集型产业,面对全球技术竞争,国内的制造商和研究者正积极合作研究掌握核心技术,本课题组承担“7MW级风电机组及关键部件设计和产业化技术”国家科技支撑计划。本论文主要研究齿轮系统制造安装等几何精度对传递误差、时变啮合刚度等传动性能的影响,并提出行星轮系均载的分析方法与措施。具体研究内容如下：提出基于ANSYS弹性接触的齿轮副时变啮合刚度和传递误差的研究方法。通过关键点-节点-单元建立完整的齿轮模型,并对接触区的节点重构方法细化单元以提高计算精度,完成一个啮合周期的准静态载荷分配、传递误差等传动性能分析,特别是啮合刚度研究。为提高齿轮系统的有限元求解能力、嵌套误差的计算效率和非线性接触算法的求解速度,应用子结构技术建模。研究齿轮制造安装精度和支承刚度对齿轮副啮合刚度和传递误差等传动性能影响。一方面总结其对传递误差的定量影响规律,另一方面为在行星轮系系统模型中嵌入各因素提供参考。具体分别通过齿轮齿廓接触区节点重构、编制宏命令实现齿轮节点移动或转动、在齿轮导向节点处建立水平垂直方向的弹簧单元的方法实现在有限元力学模型中嵌入齿轮制造安装精度和支承刚度。研究并建立齿轮副和行星轮系的传递误差数学模型,以及根据几何精度统计规律的齿轮精度设计。全面分析齿轮单项误差构成的制造固有误差、装配误差的中心距偏差和轴线不平行度偏差、支撑系统和齿轮的弹性变形对齿轮副传递误差的定量数学关系。根据齿轮副系统各几何精度的统计规律,建立以单项几何精度为参数的传递误差计算式,并对设计方案作预估计。研究并建立考虑各支路传递误差、配合间隙、浮动、弹性支承、初相位的时变啮合刚度等因素的静力学均载系数计算模型。在此基础上,应用Matlab编程语言对数学模型进行数值求解,对各支路的啮合情况判断和构件装配间隙与浮动采取特殊计算策略,讨论制造安装误差、支承刚度、啮合刚度、载荷等参数对均载的敏感性,并对传统浮动方式进行研究,确定了各构件制造安装偏心对浮动构件的浮动量和轨迹要求,并研究行星轮柔性支撑方式实现均载。本文重点研究建立了基于系统几何精度的齿轮副传递误差模型和行星轮系均载静力学模型,为具体齿轮精度设计和均载设计提供理论依据和方法。
[Abstract]:The wind power industry has greatly developed, and wind power is a technology-intensive industry. In the face of global technological competition, domestic manufacturers and researchers are actively cooperating to study and master core technologies. Our group is responsible for the National Science and Technology support Plan for the Design and industrialization Technology of 7MW Wind turbines and key components. In this paper, the effect of geometric precision such as manufacturing and installation of gear system on transmission error, time-varying meshing stiffness and other transmission performance is studied, and the analysis methods and measures for the uniform load of planetary gear train are put forward. The specific contents of the study are as follows: This paper presents a method to study the time-varying meshing stiffness and transfer error of gear pair based on ANSYS elastic contact. A complete gear model is established by the key point-node-element method, and the method of reconstructing the node in the contact area is used to refine the element to improve the accuracy of the calculation, to complete the quasi-static load distribution of a meshing period, and to analyze the transmission performance of the transmission error. Especially the study of meshing stiffness. In order to improve the finite element solution ability of gear system, the calculation efficiency of nesting error and the solving speed of nonlinear contact algorithm, the substructure technique is used to model the gear system. The effects of gear manufacturing installation accuracy and supporting stiffness on transmission performance such as gear pair meshing stiffness and transmission error are studied. On the one hand, it summarizes its quantitative influence on the transfer error, on the other hand, it provides a reference for embedding various factors in the planetary gear train system model. By reconstructing the nodes in the contact region of gear profile, the macro commands are compiled to realize the movement or rotation of the gear nodes. The method of establishing horizontal and vertical spring element at the gear guide node can embed the gear manufacturing installation accuracy and supporting stiffness into the finite element mechanical model. The mathematical model of transmission error between gear pair and planetary gear train is studied and established, and the gear precision design according to the statistical law of geometric accuracy is also studied. In this paper, the inherent manufacturing error of gear single error, the deviation of center distance and nonparallelism of assembly error, and the quantitative mathematical relationship between the transmission error of gear pair and the elastic deformation of supporting system and gear are analyzed. According to the statistical law of the geometric accuracy of gear pair system, the transfer error calculation formula with single geometric precision as the parameter is established, and the design scheme is pre-estimated. The calculation model of static load equalization coefficient is established which takes into account the transmission error of each branch, the matching gap, the floating, the elastic support, the time-varying meshing stiffness of the initial phase, and so on. On this basis, the mathematical model is numerically solved by using Matlab programming language. Special calculation strategies are adopted for judging the meshing situation of each branch and for assembly clearance and floating of components. The manufacturing installation error, support stiffness, meshing stiffness are discussed. The sensitivity of load and other parameters to the load equalization is studied, and the traditional floating mode is studied. The floating quantity and trajectory of the floating member are determined by the eccentricity of the manufacturing and installation of each component, and the load equalization of the flexible bracing mode of the planetary wheel is studied. In this paper, the transmission error model of gear pair based on geometric precision of the system and the statics model of planetary gear train are established, which provide the theoretical basis and method for the precision design and load sharing design of the specific gear.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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