渐开线圆柱直齿轮的参数化修形

发布时间：2018-05-10 20:58

本文选题：齿廓修形 + 有限元法　；参考：《太原理工大学》2011年硕士论文

【摘要】：渐开线齿轮啮合过程中由于制造误差、安装误差、轮齿受载变形引起的基节误差等因素的存在,在传动过程中会产生啮入和啮出冲击,导致传动不平稳,从而产生振动和噪声。如何改善齿轮的运转性能、提高其承载能力来减少齿轮的失效,是摆在齿轮设计者和制造者面前的重要课题。轮齿形状对齿轮传动性能有重要的作用,各个国家的学者都在不断探索不同的齿廓,不同的加工工艺,以期望获得接触载荷变化平稳、易于加工的高性能齿轮。理论研究和实际应用表明对渐开线齿轮齿廓进行适当的修形,可以改善其传动性能、提高其承载能力。本文用一种新型的齿廓曲线——圆弧蜕变曲线对渐开线齿轮进行修形,预期达到改善齿轮传动性能的目的。首先,介绍了齿轮接触分析所用的有限元理论,介绍了本文主要用到的ANSYS软件的功能和特点。详细介绍了ANSYS的参数化设计语言—APDL的特征和优点,根据渐开线方程、齿根过渡曲线方程,用参数化建模方法对标准的渐开线齿轮进行了三维建模,并进行了多个位置的齿轮啮合齿面接触静力分析,得出了标准齿轮在啮合过程中的接触应力大小和变化规律,与修形后的齿轮性能相对比做好准备。其次,介绍了圆弧蜕变曲线的由来原理和基本方程,结合齿轮齿廓修形的基本原理和方法,通过坐标变换将圆弧蜕变曲线的坐标变换到渐开线齿轮所在的坐标系,然后建立圆弧蜕变曲线逼近渐开线的数学模型,通过对模型的计算可得用圆弧蜕变曲线对渐开线进行替代的齿轮齿廓曲线方程。最后在ANSYS中参数化建立修形后齿轮啮合模型,对其进行齿面接触静力分析,得出了啮合过程中的接触应力的大小和变化规律。通过同标准渐开线齿轮啮合在节线处的接触应力大小以及一个齿面从啮入到啮出的整个啮合过程的接触应力变化规律相对比,发现修形后的齿轮静力学性能的些许改善。通过本文的介绍可知圆弧蜕变砂轮可以磨削高精度的硬齿面渐开线齿轮,并且圆弧蜕变砂轮制造简单,所以用其对标准渐开线齿轮磨削修形后齿轮力学性能有些许的改善,已经达到本课题的研究目的。
[Abstract]:During the meshing process of involute gear, the factors such as manufacturing error, installation error, base joint error caused by the deformation of gear tooth under load, etc., will produce Erosion-in and Erosion-out impact in the course of transmission, resulting in unsteady transmission and resulting in vibration and noise. How to improve the running performance of gears and increase their bearing capacity to reduce the failure of gears is an important issue for gear designers and manufacturers. Gear shape plays an important role in gear transmission performance. Scholars in various countries are constantly exploring different tooth profiles and different processing techniques in order to obtain high performance gears with stable contact load change and easy processing. Theoretical research and practical application show that proper modification of involute gear profile can improve its transmission performance and increase its bearing capacity. In this paper, the involute gear is modified with a new tooth profile curve-circular arc curve, which is expected to improve the transmission performance of the gear. Firstly, the finite element theory used in gear contact analysis is introduced, and the functions and characteristics of ANSYS software used in this paper are introduced. The characteristics and advantages of ANSYS parametric design language -APDL are introduced in detail. According to the involute equation and tooth root transition curve equation, the standard involute gear is modeled by parametric modeling method. The contact static analysis of gear meshing surface in several positions is carried out, and the contact stress and change law of standard gear in meshing process are obtained, and the performance of gear after modification is compared with that of modified gear. Secondly, the origin principle and basic equation of arc degenerate curve are introduced. Combined with the basic principle and method of gear tooth profile modification, the coordinate of arc decay curve is transformed to the coordinate system of involute gear by coordinate transformation. Then the mathematical model of involute approximation by arc degenerate curve is established. Through the calculation of the model, the gear tooth profile curve equation which is replaced by circular arc decay curve can be obtained. Finally, the meshing model of modified gear is set up in ANSYS, and the contact static analysis of gear surface is carried out, and the magnitude and variation of contact stress in meshing process are obtained. By comparing with the contact stress at the pitch of the standard involute gear and the change of the contact stress in the whole meshing process of a tooth surface, it is found that the static performance of the modified gear is slightly improved. Through the introduction of this paper, it can be seen that the circular arc degenerate grinding wheel can grind the high precision involute gear with hard tooth surface, and the manufacturing of the circular arc profile grinding wheel is simple, so the mechanical properties of the gear after grinding the standard involute gear with the grinding wheel are slightly improved. The purpose of this research has been achieved.
【学位授予单位】：太原理工大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

【引证文献】