非圆齿轮有限元分析及动态特性研究

发布时间：2018-07-07 15:24

本文选题：非圆齿轮 + 高阶椭圆齿轮　；参考：《合肥工业大学》2017年硕士论文

【摘要】：齿轮传动是现在机械传动的最重要的传动形式之一,形式很多,应用广泛。圆柱齿轮的分度圆形状是半径为常数的圆周曲线,传动比是常数,而非圆齿轮节曲线的半径是不断变化的,其传动啮合比圆齿轮要复杂很多,传动比为变量函数,并且函数的变化规律与相互啮合的齿轮的节曲线的半径有关。本文主要探究高阶非圆类椭圆齿轮的基本传动原理、传动特性分析、运动学分析、动力学分析以及运动时的从动轮运动特性分析。根据齿轮啮合原理,研究了高阶非圆类椭圆齿轮的基本传动原理,推导出高阶非圆类椭圆齿轮的节曲线方程。齿轮传动效率高并且传动平稳,凸轮可以实现变速传动且容易控制,然而非圆齿轮是同时兼具齿轮和凸轮二者优点的一种集成化的机械元件,因此在实际的机械产品加工生产过程当中,非圆齿轮相对于传统的凸轮机构和连杆变速比机构,具有压倒性的优势。本文研究的非圆齿轮主要是以高阶椭圆齿轮为主。本文首先介绍了国内外非圆齿轮的研究现状,根据非圆齿轮的啮合原理,针对不同的设计参数,建立了高阶椭圆齿轮节曲线数学模型,接着利用MATLAB的编程计算功能编制出高阶椭圆齿轮基本参数求解程序,并对其根切、凹凸性进行校验;根据MATLAB生成的齿廓,导入到SolidWorks中拉伸成三维模型,接着利用ANSYS,对高阶非圆类椭圆齿轮轮齿进行模态分析,分析阶数变化时齿轮各阶频率的变化规律。最后利用ADAMS虚拟样机仿真非圆齿轮的啮合运动,分析阶数的改变对高阶非圆类椭圆齿轮的各种运动学参数,动力学参数的影响,找出高阶非圆类椭圆齿轮的阶数变化时其各种运动学参数及动力学参数的变化规律,最后与理论曲线进行比较。
[Abstract]:Gear transmission is one of the most important transmission forms of mechanical transmission. The indexing circle of a cylindrical gear is a circular curve with a constant radius, the transmission ratio is a constant, and the radius of the non-circular gear pitch curve is constantly changing. Its transmission meshing is much more complicated than the circular gear, and the transmission ratio is a variable function. And the variation of the function is related to the radius of the pitch curve of the meshing gear. This paper mainly discusses the basic transmission principle, transmission characteristic analysis, kinematics analysis, dynamic analysis and kinematic analysis of high order non-circular elliptic gear. Based on the meshing principle of gears, the basic transmission principle of high-order non-circular elliptical gears is studied, and the nodal curve equation of high-order non-circular elliptic gears is derived. The gear transmission efficiency is high and the transmission is stable, the cam can realize the variable speed transmission and is easy to control. However, the non-circular gear is an integrated mechanical element with both the advantages of the gear and the cam. Therefore, the non-circular gear has an overwhelming advantage over the traditional cam mechanism and linkage speed ratio mechanism in the actual machining and production process of mechanical products. The non-circular gears studied in this paper are mainly high-order elliptical gears. This paper first introduces the research status of non-circular gears at home and abroad. According to the meshing principle of non-circular gears, a mathematical model of high-order elliptic gear pitch curve is established for different design parameters. Then the program of solving the basic parameters of high-order elliptic gear is compiled by using the programming and calculating function of MATLAB, and the root cutting and convexity of the gear are checked, and the tooth profile generated by MATLAB is imported into SolidWorks to form a three-dimensional model. Then the modal analysis of the higher order non-circular elliptical gear teeth is carried out by using ANSYS.The variation law of each order frequency of the gear is analyzed when the order is changed. Finally, the meshing motion of non-circular gear is simulated by Adams virtual prototype, and the influence of the change of order on the kinematic and dynamic parameters of high-order non-circular elliptical gear is analyzed. The variation laws of various kinematics and dynamics parameters of higher order non-circular elliptic gears are found out and compared with the theoretical curves.
【学位授予单位】：合肥工业大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TH132.41

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