人字齿轮参数化建模及动静态分析

发布时间：2018-08-30 20:19

【摘要】：齿轮传动是机械传动系统中的重要组成部分,其具有效率高、结构紧凑、工作可靠等优点。与普通齿轮相比,人字齿轮的重合度高,尺寸大,力学特征复杂,研究难度大。随着齿轮高速化、大型化与重载化的发展,对齿轮传动系统的承载能力与传动平稳性提出了更高的要求。因此,深入研究齿轮传动系统,对于优化系统参数、提高其安全性、可靠性等有着重要的理论指导意义。如何合理的建立齿轮系统的精确模型,是研究该系统力学特征的关键所在。本文首先介绍了关于齿轮系统的国内外研究概况；并且对有限元单元法及ANSYS分析方法相关理论做了一定阐述。其次,对齿轮渐开线、过渡曲线以及螺旋线方程从原理上进行了分析推导,得到了同一坐标系下的各曲线方程；根据人字齿轮的成形原理,采用Pro/E软件,建立人字齿轮的精确参数化模型,并对模型进行标准装配。可以方便的对模型进行再生修改等,从而在一定程度上缩短了产品开发周期,节约了产品开发成本,提高了生产效率。最后,将Pro/E模型导入ANSYS,生成有限元模型,划分合适的网格,采用定义轮齿之间的接触对的方法模拟齿轮之间的啮合关系,并进行合适的加载,对齿轮进行了非线性接触分析。在此基础上,分别选取了不同的摩擦因素进行齿面接触应力分析,从而分析齿面摩擦的大小对齿面接触应力有无影响。并对齿轮进行了模态分析,利用Block Lanczos法提取了系统的前10阶固有频率和主振型,模态振型分析结果表明对折振和径向振是齿轮的主要振动形式。基于分析结果,提出了避免共振的方法。
[Abstract]:Gear transmission is an important part of mechanical transmission system, which has the advantages of high efficiency, compact structure and reliable operation. Compared with ordinary gears, herringbone gears have high coincidence, large size, complex mechanical characteristics and difficult research. With the development of high speed, large scale and heavy load of gears, higher requirements are put forward for the bearing capacity and stability of gear transmission system. Therefore, the research of gear transmission system has important theoretical significance for optimizing system parameters, improving its safety and reliability. How to establish the accurate model of gear system is the key to study the mechanical characteristics of gear system. This paper first introduces the domestic and international research situation of gear system, and the theory of finite element method and ANSYS analysis method is expounded. Secondly, the involute, transition curve and helix equation of gear are analyzed and deduced in principle, and each curve equation in the same coordinate system is obtained. According to the forming principle of herringbone gear, Pro/E software is used. The precise parameterized model of herringbone gear was established and the model was assembled standard. The model can be easily regenerated and modified, thus shortening the product development cycle to a certain extent, saving the cost of product development and improving the production efficiency. Finally, the Pro/E model is introduced into ANSYS, to generate the finite element model, and the suitable mesh is divided. The meshing relationship between gears is simulated by defining the contact pairs between the gear teeth, and the nonlinear contact analysis of the gears is carried out by proper loading. On this basis, different friction factors are selected to analyze the contact stress of tooth surface, and the influence of tooth surface friction on tooth surface contact stress is analyzed. The first 10 natural frequencies and the main modes of the gear are extracted by Block Lanczos method. The results of modal analysis show that the bending and radial vibration are the main vibration forms of the gear. Based on the analysis results, a method to avoid resonance is proposed.
【学位授予单位】：东北大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41

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