二齿差钢球活齿传动的分析与设计

发布时间：2018-06-20 07:25

本文选题：钢球活齿 + 齿廓方程　；参考：《北京工业大学》2012年硕士论文

【摘要】：活齿传动是一种由K-H-V型少齿差行星齿轮传动演化而成的用于传递两同轴间回转运动的机械传动，具有结构紧凑、传动比范围广、承载能力大、传动效率较高、结构形式多样等优点。二齿差活齿传动因其激波器形状呈轴对称结构，自身质量完全平衡，双向工作载荷可相互抵消。本文的工作主要围绕二齿差钢球活齿传动的分析与设计以及凸轮激波滚动活齿传动的强度分析等方面来展开。论文简述了钢球活齿传动及与之相关的少齿差行星传动的发展历史、国内外研究现状和传动特点。基于转速变换和包络原理，建立了动、定盘封闭槽齿廓方程，推导了定盘封闭槽内、外侧齿廓的主曲率半径公式，给出了避免定盘封闭槽发生齿廓干涉需要满足的条件，在此基础之上，对二齿差钢球活齿传动的结构参数及几何设计问题进行了分析讨论。分析了传动比、动盘理论半轴长度以及钢球半径等参数对定盘齿廓性质的综合影响，建立了齿形参数之间的取值联系，同时根据传动原理及活齿架的结构特点，给出了活齿架参数的计算公式。对二齿差钢球活齿传动的接触特性进行了研究。在建立变形协调关系的基础上，基于赫兹接触理论提出了啮合副作用力的计算方法，并结合示例说明了方法的有效性，初步获得了二齿差钢球活齿传动啮合副作用力的分布趋势，并参考受力分析的结果对啮合副进行了强度计算。对二齿差钢球活齿传动的结构进行了设计。在给出整体设计方案的基础上，，分析了啮合副中动、定盘封闭槽的截面结构形状，利用Pro/E软件对各零部件进行了三维实体仿真，并根据相互之间的接触啮合关系进行了虚拟装配，对整机进行了干涉检验。利用啮合原理及曲线等距的方法推导了凸轮激波滚动活齿传动激波凸轮、中心内齿轮的齿形方程，建立了各啮合传动件及整机的三维模型，利用有限元分析软件ANSYS Workbench对其进行了强度计算，初步得到了应力、应变的分析结果。
[Abstract]:Movable tooth drive is a kind of mechanical transmission which is evolved from K-H-V type planetary gear transmission with less tooth difference. It is used to transfer the motion of rotation between two coaxial axes. It has compact structure, wide transmission ratio, large bearing capacity and high transmission efficiency. The structure is diverse and so on. Because of its axisymmetric structure, its mass is completely balanced, and the bi-directional working load can be counteracted to each other. The work of this paper mainly focuses on the analysis and design of steel ball movable tooth drive with two teeth difference and the strength analysis of cam shock wave rolling movable tooth transmission. This paper briefly describes the development history of steel ball movable tooth transmission and its relative planetary transmission with less tooth difference, the research status and transmission characteristics at home and abroad. Based on the rotational speed transformation and envelope principle, the tooth profile equations of moving and fixed disk closed slots are established, the main curvature radius formulas of the inner and outer tooth profiles of the fixed disk closed slots are derived, and the conditions to avoid the tooth profile interference in the fixed disk closed slots are given. On this basis, the structural parameters and geometric design of steel ball movable tooth drive with two teeth difference are analyzed and discussed. This paper analyzes the comprehensive influence of the transmission ratio, the theoretical half-shaft length of the moving disk and the radius of the steel ball on the tooth profile properties of the fixed disk, and establishes the value relation among the tooth profile parameters. At the same time, according to the transmission principle and the structural characteristics of the movable tooth frame, The formula for calculating the parameters of the movable tooth rack is given. The contact characteristics of steel ball movable tooth drive with two teeth difference are studied. Based on the theory of Hertz contact, the calculation method of meshing side effect force is put forward on the basis of the deformation coordination relationship, and the effectiveness of the method is illustrated by an example. The distribution trend of meshing side effect force of steel ball movable tooth drive with two teeth difference is obtained preliminarily, and the strength of meshing pair is calculated with reference to the result of force analysis. The structure of steel ball movable tooth drive with two teeth difference is designed. On the basis of giving the overall design scheme, the section structure shape of the meshing pair is analyzed, and the 3D entity simulation of the parts is carried out by using Prop / E software. According to the contact meshing relationship, virtual assembly is carried out, and the interference test is carried out on the whole machine. Based on the meshing principle and the curve equidistance method, the tooth shape equations of the shock cam and the center inner gear of the cam shock wave rolling movable tooth drive are derived, and the three dimensional models of the meshing parts and the whole machine are established. The strength of the finite element analysis software ANSYS Workbench has been calculated, and the results of stress and strain analysis have been preliminarily obtained.
【学位授予单位】：北京工业大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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