增速斜齿轮行星传动系统动力学特性分析及优化设计
发布时间:2018-07-05 00:21
本文选题:增速 + 斜齿轮 ; 参考:《郑州大学》2014年硕士论文
【摘要】:行星齿轮增速器在工业和生活中应用广泛,斜齿轮的重合度比直齿轮大,传动平稳,在高速重载时,常采用增速斜齿轮行星传动系统。研究增速斜齿轮行星传动系统的动力学特性对提高传动系统的可靠性,减小振动和噪音等有重要意义。同时,对传动系统进行体积优化可以使其结构更为紧凑。 本文以一级增速斜齿轮行星传动系统为研究对象,对其进行了动力学特性分析和参数优化,主要内容如下: 首先,建立增速斜齿轮行星传动系统的集中参数模型。在建模过程中考虑啮合刚度、啮合误差、齿侧间隙和系统阻尼对系统的影响,并将构件与构件、构件与地基之间的连接、轮齿与轮齿之间的啮合均假设为弹簧阻尼器连接。 第二,建立系统的分析模型。根据牛顿第二定律建立了行星轮、太阳轮、内齿圈和行星架的二阶动力学微分方程组,并将其改写为矩阵形式,得到系统的质量矩阵和刚度矩阵。 第三,求解增速斜齿轮行星传动系统的固有频率和主振型。根据固有频率求解原理,利用MATLAB求解该传动系统的固有频率和主振型,分析该传动系统振动形态,并在此基础上分析支撑刚度、质量、转动惯量和啮合刚度对系统固有频率的影响。 第四,对增速斜齿轮行星传动系统进行参数优化。以传动系统的体积最小为优化目标建立了优化模型,使其结构更为紧凑。
[Abstract]:The planetary gear accelerator is widely used in industry and daily life. The helical gear has more coincidence than spur gear, and its transmission is stable. In high speed and heavy load, the speed increasing helical gear planetary transmission system is often adopted. It is important to study the dynamic characteristics of helical gear planetary transmission system to improve the reliability of transmission system and reduce vibration and noise. At the same time, the structure of transmission system can be more compact by volume optimization. This paper takes the planetary transmission system of helical gear as the research object, analyzes its dynamic characteristics and optimizes its parameters. The main contents are as follows: firstly, the concentrated parameter model of the planetary transmission system of helical gear is established. In the modeling process, the effects of meshing stiffness, meshing error, tooth clearance and system damping on the system are considered. The connection between components and components, between components and foundation, and between gear teeth and gear teeth is assumed to be a spring damper connection. Second, establish a systematic analysis model. According to Newton's second law, the second order dynamic differential equations of planetary wheel, solar wheel, inner gear ring and planetary frame are established, and the mass matrix and stiffness matrix of the system are obtained by rewriting them into matrix form. Third, solve the natural frequency and the main mode of the helical gear planetary transmission system. According to the principle of solving the natural frequency, the natural frequency and the main mode of the transmission system are solved by MATLAB, the vibration form of the transmission system is analyzed, and the support stiffness and mass are analyzed on the basis of the analysis. The influence of moment of inertia and meshing stiffness on the natural frequency of the system. Fourth, the speed of helical gear planetary transmission system parameters optimization. The optimization model is established to minimize the volume of transmission system, which makes its structure more compact.
【学位授予单位】:郑州大学
【学位级别】:硕士
【学位授予年份】:2014
【分类号】:TH132.41
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