双圆弧齿轮轮齿弯曲应力分析

发布时间：2018-01-02 15:13

本文关键词：双圆弧齿轮轮齿弯曲应力分析　出处：《湖南大学》2011年硕士论文　论文类型：学位论文

【摘要】：双圆弧齿轮传动是近代发展起来的一种新型齿轮传动方式。对双圆弧齿轮的弯曲强度进行分析,在机械传动的数字化设计中起着至关重要的作用。因此,建立比较实用的双圆弧齿轮弯曲应力数学模型,可以方便、快捷地求解双圆弧齿轮任一点的弯曲应力,具有一定的理论意义和工程实用价值。论文首先评述了双圆弧齿轮国内外研发现状及其不足,分析比较了仅在凸齿处加载和在凸、凹齿处同时加载两种不同加载方式时弯曲应力的分布情况,得出结论：采取凸、凹齿同时加载的方式对双圆弧齿轮的弯曲应力进行研究,比仅在凸齿处加载的安全可靠性更高。然后,采取凸、凹齿同时加载的方式,利用Pro/E软件强大的参数化建模功能和Pro/Mechanica模块的有限元分析功能,以及C语言及Excel的计算功能,基于折截面法和任意转角位置的双圆弧齿轮齿廓数学模型,构建了一个新的双圆弧齿轮弯曲应力数学模型。经过对新的弯曲应力数学模型的理论计算值和有限元仿真计算值进行分析比较,结果表明：用这两种方法得到的弯曲应力值非常接近。最后,应用该弯曲应力数学模型,详细分析了在不同刀具参数情况下双圆弧齿轮曲率半径对轮齿弯曲应力的影响规律。应用本文新的双圆弧齿轮弯曲应力数学模型,可以直接得到双圆弧齿轮齿面上任一点的弯曲应力值,方便快捷,简单易行,为双圆弧齿轮的参数化设计提供了新的理论依据,同时对研究新型齿形和促进齿轮传动发展等都具有十分重要的意义。
[Abstract]:Double circular arc gear transmission is a new gear transmission mode of modern development. Analyze the bending strength of double circular arc gears, plays a vital role in the digital design of mechanical transmission. Therefore, the establishment of the double circular arc gear practical bending stress mathematical model, can be easily and quickly solve the double circular arc gear at any point of the bending stress, has certain theoretical significance and practical value.
This paper first reviewed the domestic and foreign research status of the double circular arc gear and its shortcomings analyzed only in the convex teeth and load distribution on the convex, concave tooth and loaded with two different loading modes when bending stress the conclusion: take the convex and concave tooth while loading way of double circular arc gear bending for the research, only in the safety and reliability of the convex teeth loaded at the higher. Then, take the convex and concave tooth while loading, finite element analysis using Pro/E software with powerful function of parametric modeling and Pro/Mechanica module, and the C language and Excel calculation function of double circular arc gear tooth bending mathematical model section and any corner position based on the mathematical model of bending stress of a double circular arc gear new constructed. After the new bending stress mathematical model of the theoretical calculation and finite element simulation calculation analysis The comparison shows that the bending stress values obtained by these two methods are very close. Finally, by applying the mathematical model of bending stress, the influence rule of the curvature radius of double circular arc gear on the bending stress of the gear is analyzed in detail under different tool parameters.
The application of mathematical model of bending stress of double circular arc gear new, can obtain the double circular arc gear tooth surface of a bending stress value, convenient, simple and provides a new theoretical basis for parametric design of double circular arc gear, and has very important significance and promote the development of gear transmission study on the new type of tooth shape.

【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.416

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