渐开线圆柱齿轮齿廓修形与啮合规律研究

发布时间：2018-05-22 11:33

本文选题：非对称齿轮 + 渐开线倾斜修形　；参考：《武汉理工大学》2015年博士论文

【摘要】：渐开线圆柱齿轮是当前应用最广泛的机械与汽车传动零件之一,具有承载能力大,传递平稳,性能稳定等优点。齿轮技术包含着多学科多领域的综合技术,体现了国家基础工业水平高低。随着科技的发展,渐开线齿轮在重载、高速传动领域的应用更加广泛,这就对齿轮的设计能力和研发技术提出了更高的要求。非对称齿轮的设计能够保持常规渐开线齿轮啮合平稳等优点,又具有更好的适应性和承载能力。由于制造、装配误差以及系统本身弹性变形的存在,齿轮啮合是非常复杂的过程。因此,合理的齿轮设计、齿轮啮合规律分析方法的研究、啮合特性的分析对于提升齿轮的啮合性能具有重要意义。因此,本文旨在探索齿轮设计与分析的新方法,针对渐开线非对称齿轮齿廓设计与修形、啮合磨损及疲劳预测等展开研究,系统研究考虑系统变形的圆柱齿轮修形技术。根据啮合理论和坐标变换方法,推导出具有双压力角双齿根圆弧的渐开线非对称齿轮的坐标方程,利用推导的方程对对称齿轮和非对称齿轮均适用。建立了齿轮接触分析模型,获得了不同压力角角度和载荷作用下齿轮啮合周期中齿轮啮合力、周向位移、接触应力的规律,为非对称齿轮的修形提供理论依据。针对非对称齿轮的齿廓修形提出了渐开线倾斜修形的方法,提出了修形比例系数和修形角度两种修形参数,推导出了对应的刀具齿廓方程。分析了不同修形参数对齿轮啮合过程中的啮合刚度及其谱特性、传递误差、接触应力、弯曲应力和齿间载荷分配系数的影响,获得了修形后齿轮的啮合规律。基于磨损理论建立了齿轮接触分析模型,分析了齿轮接触压力分布以及其沿不同路径的变化规律,验证了齿轮表面接触压力分布的离散性。分析了压力角、修形参数对齿轮接触压力变化规律的影响。建立了齿轮磨损仿真模型,预估修形前后齿轮磨损高度,为齿轮磨损量的预测提供了方法。开展齿轮材料的疲劳试验研究,预估齿轮修形前后的疲劳寿命。考虑到系统变形对齿轮啮合产生影响,分析了齿轮布置形式和零部件刚度对齿轮系统变形的影响,研究了系统变形对齿轮错位的影响。建立了考虑系统变形的某商用变速器模型,获得了在不同路径和载荷下齿轮的啮合错位量,并进行了考虑齿轮啮合错位的修形研究,并分析了多种修形方法对齿轮啮合传递误差以及传递误差峰峰值的影响,研究有利于指导齿轮的修形设计。
[Abstract]:Involute cylindrical gear is one of the most widely used mechanical and automotive transmission parts at present, which has the advantages of high bearing capacity, stable transmission and stable performance. Gear technology includes multi-disciplinary and multi-field integrated technology, which reflects the level of national basic industry. With the development of science and technology, involute gear is widely used in the field of heavy load and high speed transmission. The design of asymmetrical gears can keep the normal involute gears meshing smoothly and have better adaptability and bearing capacity. Gear meshing is a very complex process due to manufacturing, assembly errors and elastic deformation of the system itself. Therefore, the reasonable gear design, the research on the analysis method of gear engagement law and the analysis of meshing characteristics are of great significance to the improvement of gear meshing performance. Therefore, the purpose of this paper is to explore a new method of gear design and analysis, focusing on tooth profile design and modification of involute asymmetrical gears, meshing wear and fatigue prediction, and systematically studying cylindrical gear modification technology considering system deformation. According to the meshing theory and coordinate transformation method, the coordinate equation of involute asymmetric gear with double pressure angle and double tooth root arc is derived. The equation is applicable to both symmetrical gear and asymmetric gear. The contact analysis model of gear is established, and the law of gear engagement force, circumferential displacement and contact stress in gear meshing cycle under different pressure angles and loads is obtained, which provides a theoretical basis for the modification of asymmetric gear. In this paper, the involute tilting modification method is proposed for the tooth profile modification of asymmetric gears. Two modification parameters, the modification ratio coefficient and the modification angle, are put forward, and the corresponding tooth profile equation of the cutter is derived. The effects of different modification parameters on the meshing stiffness and spectrum characteristics, transmission error, contact stress, bending stress and load distribution coefficient between teeth are analyzed, and the meshing law of modified gear is obtained. Based on the wear theory, a gear contact analysis model is established. The distribution of gear contact pressure and its variation along different paths are analyzed, and the discreteness of gear surface contact pressure distribution is verified. The influence of pressure angle and shape modification parameters on gear contact pressure is analyzed. The gear wear simulation model is established to predict the gear wear height before and after modification, which provides a method for the prediction of gear wear volume. The fatigue life of gear before and after modification was estimated by fatigue test of gear material. Considering the influence of system deformation on gear meshing, the influence of gear arrangement and component stiffness on gear system deformation is analyzed, and the influence of system deformation on gear misalignment is studied. In this paper, a commercial transmission model considering system deformation is established, and the meshing misalignment of gears under different paths and loads is obtained, and the modification of gear meshing dislocation is studied. The influence of various modification methods on gear meshing transfer error and peak value of transmission error is analyzed, and the research is helpful to guide gear modification design.
【学位授予单位】：武汉理工大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：TH132.413

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