三环减速器齿轮副有限元模型.doc

三环减速器齿轮副有限元模型

摘  要

三环减速器是中国科技人员发明的一种少齿差内啮合行星齿轮传动装置，其传动原理新颖，一般用于动力传动，具有体积小、传动比大、寿命长、成本低等优点，还具有内齿多齿啮合的特点，有较高的承载能力、较大的过载性能。因此，这种传动越来越多地应用于冶金、起重运输、矿山、环保、建筑等领域。三环传动在足够大的载荷作用下，实际啮合齿数会大于理论啮合齿数，使得三环减速器中齿轮副的承载能力大大提高。我们将齿轮啮合过程中因多齿啮合而导致齿轮副承载能力提高的现象称为多齿啮合效应。但是目前的各减速器制造厂家在这一设计阶段尚未考虑这一效应，其产品设计表中公布的减速器承载能力远低于实际承载能力，造成浪费。因此，考虑三环传动中的多齿啮合效应对于揭示三环减速器大承载能力的本质、提高三环减速器的承载能力、缩小设计尺寸、降低制造成本具有重要的意义。
本文以三环减速器齿轮副有限元模型为研究对象，先使用Pro/E Wildfire3.0进行三维建模，然后利用有限单元法对三环减速器多齿啮合效应进行分析，得到三环减速器传动时的实际接触齿数、啮合齿载荷分配情况以及 Von Mises 应力变化规律。
本文涉及三环减速器齿轮副的啮合特性的分析，利用有限元软件ABAQUS6.5计算了三环减速器一个传动周期内各构件的应力、变形，并与理论设计计算结果进行了对比，说明了三环减速器的多齿啮合特性。
本文所研究的内容可以应用于工厂的产品设计与制造，为内齿板式齿轮传动装置的研发和应用打下一定的基础，可以在一定程度上缩短设计周期，减少设计成本，能够促进我国企业的设计水平和自主创新能力的提高，提高产品的竞争力，为相关企业带来可观的经济效益和社会效益。

关键词：三环减速器  有限元分析  ABAQUS软件应用  Pro/E三维造型设计

ABSTRACT
    Three-Ring Reducer is one of inventions of Chinese scientists and engineers. It is a kind of planetary gear transmission with few tooth differences and is commonly used for power transmission. It has many advantages such as small size, large transmission ratio, long life, low production cost, multi-tooth meshing, high loading capacity, large overload performance. Therefore, It has been more and more applied in metallurgy, lifting transportation, mining, environmental protection, construction, and other fields. When there is enough load, the real mesh teeth number of Three-Ring transmission is larger than the theoretical mesh number.. It greatly improved the carrying capacity of gear pair. Multiple teeth engagement leads the carrying capacity greatly enhanced. We call the phenomenon during the engagement process multi-teeth engagement effect. But up till the present moment, every manufacturer has not take it into consideration yet during the design stage. The reducer’s carrying capacity in the product design worksheet is far below the actual load capacity. It waste a lot. So it is significant to take multi-teeth engagement effect into consideration. It can reveal the essence of the huge carrying capacity of Three-Ring Reducer. It can help enhancing the carrying capacity of the Three-Ring Reducer, shortening the design dimension and reducing the manufacture cost.
    This article set the finite element model of the Three-Ring Reducer gear pair as the object of study. The first step is modeling by using the Pro/E Wildfire 3.0, then analyses the Three-Ring Reducer multi-teeth engagement effect though finite element method. Then we can get the actual mesh tooth number during the Three-Ring Reducer transmission and the condition of load contribution of meshing tooth. We can also get the regulation of Von Mises stress changing.
This article refer to the elasticity of all the component of Three-Ring Reducer. It also concern the building of Three-Ring Reducer finite element model and realize static analysis of the Three-Ring Reducer by using the model. By using the finite element software of ABAQUS ,it calculated the stress and distortion in the cycle of transmission, it validated the correctness of finite element model.
    The content of this article can be applied to the design and manufacture of the product in the factory. It lay the foundation for the study and application of ring-plate-type gear transmission. Besides, design and analysis cycle can be shortened and design costs can be reduced in a certain extent. Chinese enterprises can greatly enhance the design level, the ability of independent innovation, and the production competitiveness. Thus, the enterprises will generate considerable economics and social benefits.
 
Key words: Three-Ring Reducer  Finite Element Analysis  ABAQUS application   Pro/E Three-dimensional design
 
目  录

摘  要 1
ABSTRACT 2
第一章  绪  论 1
1.1 课题研究的内容与意义 1
1.1.1课题研究的内容 1
1.1.2课题研究的意义 1
1.2三环减速器的现状和发展趋势 2
1.2.1国内外三环减速器的发展历史 2
1.2.2三环减速器的研究现状 3
1.2.3三环减速器的发展趋势 5
本章小结 6
第二章  三环减速器简介 7
2.1三环减速器基本结构 7
2.2三环减速器的工作原理 9
2.3三环减速器基本参数 11
2.4三环减速器齿轮的校核 12
2.5三环减速器传动的优点及存在的主要问题 14
本章小结 15
第三章  Pro/E Wildfire 3.0 建模 16
3.1基于Pro/E 的实体造型技术特点 16
3.1.1基于特征的（Feature-Based） 16
3.1.2基于参数化的（Parametric-based） 16
3.1.3全数据相关性（Full Associative） 16
3.2 Pro/E在实际应用中的缺点 17
3.3 三环减速器主要部件Pro/E造型 17
3.3.1轴类零件造型 17
3.3.2齿轮零件的创建 19
3.3.3轴承零件的创建 22
3.4三环减速器主要零件的装配 24
3.4.1偏心套部分的装配 24
3.4.2支撑轴部分的装配 25
3.4.3输出轴部分的装配 27
3.4.4三环减速器的整体装配 29
本章小结 32
第四章  有限元单元法与ABAQUS软件简介 33
4.1有限单元法基础 33
4.1.1有限单元法 33
4.1.2有限单元法的特点 33
4.1.3有限单元法解的特点 34
4.1.4有限单元法的分析过程 34
4.1.5有限单元法发展历史和发展趋势 35
4.2关于ABAQUS 37
4.2.1 ABAQUS软件简介 37
4.2.2 ABAQUS接触分析 38
本章小结 39
第五章  三环减速器齿轮副多齿啮合特性的有限元分析 40
5.1三环减速器齿轮副实体模型的建立 40
5.2有限元网格的划分 42
5.3边界条件的确定和载荷的施加 44
5.3.1 接触的定义 44
5.3.2 施加载荷和约束 45
5.4三环减速器齿轮副接触应力分析 46
5.5齿轮副Mises应力和弯曲应力分析 48
5.6有限元分析结果与理论计算结果的对比 49
本章小结 51
谢  辞 52
参考文献 53