共轭曲线齿轮啮合理论研究

发布时间：2017-12-27 05:18

本文关键词：共轭曲线齿轮啮合理论研究　出处：《重庆大学》2015年博士论文　论文类型：学位论文

【摘要】：齿轮是制造装备业和国防工业中极其重要的关键基础件。高端重大装备对高性能齿轮传动的需求迫切且逐年增长,齿轮产品尽管在技术手段和性能方面有了长足的发展,但是与国际先进水平相比仍然存在较大差距。以直升机等为代表的航空航天飞行器,以风力发电等为代表的新能源装备,以坦克等为代表的武器装备以及高铁、舰船等重大装备都对齿轮传动提出了更高性能的要求,可概括为:长寿命、高承载能力、高可靠、高功重比(轻量化)、低噪声等。高性能的齿轮传动的研发已成为我国相关工业领域发展中的一个关键科学技术问题,也是机械工程领域传动机械学科研究的重要前沿。啮合齿面是运动和动力变换的直接作用面,也是齿轮创新发展的关键要素。本文充分考虑曲线接触的多样性,以曲线为啮合几何元素开展齿轮传动啮合新理论、新技术研究。相关内容对阐释现有齿轮传动的啮合原理及创立新型高性能齿轮传动提供了理论基础,对于满足重大装备对高性能齿轮传动的需求将产生重要作用,具有十分重要的理论意义和广泛的工程应用前景。论文的主要工作可概括如下:①在定义曲线连续相切接触的基础上,提出共轭曲线的概念,给出曲线共轭接触的基本条件;建立共轭曲线齿轮基本啮合原理,开展共轭曲线啮合数学描述,基于微分几何学分析并论证共轭曲线沿给定接触角方向的法向矢量,求解啮合函数关系,推导共轭曲线方程等,并开展实例应用。②从几何及接触特性分析入手,揭示共轭曲线啮合的一般规律及性质。提出共轭曲线密切面建模方法,基于弧长参数概念推导共轭曲线曲率及挠率,论证单参数曲线族包络的基本条件及特征点;探寻不同接触位置条件下的啮合函数变化规律,讨论共轭曲线接触的唯一性和同一性,描述共轭曲线的啮合运动基本特性。③基于共轭曲线原理构建具有优良曲线接触特性的啮合管齿面,提出以适当半径的球面沿共轭曲线的指定等距线包络运动成型啮合管的等距包络方法,建立共轭曲线齿轮啮合管齿面的构建理论,推导共轭曲线的等距线方程、啮合齿面方程等,构建多种接触齿面模型。在共轭曲线啮合理论的研究基础上,提出新型共轭曲线齿轮传动。④分析共轭曲线齿轮啮合管齿面几何及接触特性,提出齿轮满足传动比恒定和连续转动的一般条件;定义啮合管齿面压力角,描述齿面特征曲线及脊线,讨论啮合管齿面根切问题,建立诱导法曲率及挠率一般计算方法;开展啮合管齿面啮合及曲率干涉分析,基于共轭曲线原理建立齿面滑动计算理论与方法,论证齿面共轭继承特性,揭示共轭曲线齿轮轮齿齿面的啮合实质。⑤介绍传统圆弧齿轮传动及特点,提出基于共轭曲线啮合理论的圆弧齿轮传动啮合新原理,论述其成型原理与方法、几何及运动特性、啮合特性等,揭示与一般圆弧齿轮传动的内在联系,阐释圆弧齿轮传动的一般原理和啮合本质,实现共轭曲线啮合理论的重要理论应用。
[Abstract]:Gear is the most important key element in the manufacturing equipment industry and the national defense industry. The demand for high-performance gear transmission is urgent and increasing year by year. The gear products have made great progress in terms of technology and performance, but there is still a big gap compared with the international advanced level. Aerospace vehicle with helicopter as the representative of the wind power as the representative of the new energy equipment, with tanks as the representative of the weapons and equipment as well as high-speed railway, ships and other major equipment are put forward higher requirements on the performance of gear transmission, can be summarized as: long life, Gao Cheng carrying capacity, high reliability, high the power weight ratio (lightweight), low noise etc.. The research and development of high performance gear transmission has become a key scientific and technological problem in the development of related industries in China. It is also an important front in the field of mechanical engineering in the field of mechanical engineering. The meshing tooth surface is the direct surface of the motion and the dynamic transformation, and is also the key element of the gear innovation and development. This paper takes full consideration of the variety of the contact of the curve, and studies the new theory and new technology of gear transmission meshing with the geometric element of the curve as the meshing geometric element. The related content provides a theoretical basis for explaining the existing gear meshing principle and the creation of new high performance gear, will have an important role to meet the great demand for high performance gear transmission equipment, has important theoretical significance and wide application prospect. The main work can be summarized as follows: based in the definition of curve continuous tangent contact, put forward the concept of conjugate curves, the basic conditions of conjugate contact curve is given; the establishment of basic principle of gear meshing conjugate curve, carry out mathematical description of conjugate curve mesh, vector based on differential geometry analysis and argumentation of conjugate curves along a given direction of contact angle the method of solving the meshing function, derivation of conjugate curve equation, and carry out application. Secondly, from the analysis of geometry and contact characteristics, the general rules and properties of the conjugate curve meshing are revealed. The conjugate curve osculating plane modeling method, the arc length parameter concept derived conjugate curve curvature and torsion rate based on the basic conditions, demonstration of single parameter curve enveloping and feature point; to explore the meshing function changes under the conditions of different contact position, discuss the uniqueness of conjugate curves of contact and identity, the basic characterization of conjugate curves the meshing movement. The conjugate curve based on the principle of constructing excellent contact characteristics of meshing tooth surface curve pipe, proposed equidistant envelope method specifies the equidistant line forming tube meshing enveloping movement with appropriate radius of the spherical surface along the conjugate curve, a conjugate curve of the gear tooth surface meshing pipe construction theory, derivation of conjugate curves of equidistant line equation, tooth surface equation build multiple tooth contact model. On the basis of the study of the conjugate curve meshing theory, a new type of conjugate curve gear transmission is proposed. The analysis of tooth surface geometry and contact characteristics of gear meshing conjugate curves of the gear tube, meet the general conditions of constant transmission ratio and continuous rotation; definition of meshing tooth surface tube pressure angle, tooth surface characteristic curve and the ridge line and discuss the tooth undercutting mesh tube, established the induction method and curvature deflection calculation rate; analysis of tooth surface meshing and curvature interference carry out meshing conjugate curve was established based on the principle of the calculation theory and method of sliding tooth surface based on the demonstration of conjugate tooth face inherited characteristics, reveal the conjugate curve of gear tooth meshing tooth surface material. The introduction of the traditional arc gear meshing principle and characteristics, put forward the new arc gear meshing theory of conjugate curves based on the forming principle and method, geometry and motion characteristics, meshing characteristics, reveal the intrinsic link and arc gear meshing, the general principle and interpret the essence of circular arc gear transmission, realize the important theory the application of theory of conjugate curve mesh.
【学位授予单位】：重庆大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：TH132.41

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