交错轴变齿厚齿轮副的设计方法与有限元分析
发布时间：2019-06-10 03:20
【摘要】：交错轴变齿厚齿轮副传动是一种特殊形式的渐开线齿轮传动,这种齿轮副能够实现小轴交角传动,即允许其主被动齿轮轴线间存在一个较小夹角。这类齿轮在游艇、快艇的动力传动机构中大量使用。交错轴变齿厚齿轮副的几何参数繁多,设计困难,并且无法用现有的齿轮强度计算理论来求解其强度问题。基于此,本文介绍了一种交错轴变齿厚齿轮副的设计方法,并且采用有限元法分析了一对交错轴变齿厚齿轮副接触应力与弯曲应力分布情况。 首先介绍了交错轴变齿厚齿轮副的啮合原理及其主要几何参数,并介绍了一种适合于各种传动布局形式的交错轴变齿厚齿轮副的几何设计方法即保证安装参数法,文中分析了这种方法相对于传统设计方法的优越性,并以保证安装参数法为基础设计两对不同布局形式的交错轴变齿厚齿轮,并以其中的一对作为本文的研究对象。 其次根据交错轴变齿厚齿轮副在啮合过程中与假想齿条的啮合关系,利用坐标变换理论,建立了一对配对的交错轴变齿厚齿轮副的齿面方程。采用Matlab软件根据齿面方程编写程序求解了齿轮副的齿面点集,在Pro/e中由这些齿面点集实现交错轴变齿厚齿轮副的齿面重构,进而建立其三维实体模型,为后续的有限元强度分析做好准备。 最后通过Pro/e与ANSYS软件之间的无缝连接,将齿轮副几何模型导入ANSYS软件中,并在此基础上完成了交错轴变齿厚齿轮副有限元分析模型的建立；根据有限元计算结果,分析了交错轴变齿厚齿轮副主从动齿轮齿面接触应力以及齿根弯曲应力的分布情况,得出了最大接触应力和最大弯曲应力的发生位置以及轮齿应变情况,为齿轮副的优化设计提供了依据。
[Abstract]:Staggered shaft variable tooth thickness gear pair transmission is a special form of involute gear transmission, this kind of gear pair can realize small shaft cross angle transmission, that is to say, there is a small angle between the active and passive gears. This kind of gear is widely used in the power transmission mechanism of yachts and speedboats. The geometric parameters of staggered shaft variable tooth thickness gear pair are many, and the design is difficult, and the existing gear strength calculation theory can not be used to solve the strength problem. Based on this, this paper introduces a design method of staggered shaft variable tooth thickness gear pair, and analyzes the distribution of contact stress and bending stress of a pair of staggered shaft variable tooth thickness gear pair by finite element method. Firstly, the meshing principle and main geometric parameters of staggered shaft variable tooth thickness gear pair are introduced, and a geometric design method of staggered shaft variable tooth thickness gear pair suitable for all kinds of transmission layout is introduced, that is, the method of ensuring installation parameters. In this paper, the advantages of this method over the traditional design method are analyzed, and two pairs of staggered shaft variable tooth thickness gears with different layout forms are designed on the basis of guaranteed installation parameter method, and one of them is taken as the research object of this paper. Secondly, according to the meshing relationship between the staggered shaft variable tooth thickness gear pair and the hypothetical rack in the meshing process, the tooth surface equation of a pair of staggered shaft variable tooth thickness gear pair is established by using the coordinate transformation theory. The tooth surface point set of gear pair is solved by using Matlab software according to the tooth surface equation. The tooth surface reconstruction of staggered shaft variable tooth thickness gear pair is realized by these tooth surface point sets in Pro/e, and then its three-dimensional solid model is established. Prepare for the subsequent finite element strength analysis. Finally, through the seamless connection between Pro/e and ANSYS software, the geometric model of gear pair is imported into ANSYS software, and on this basis, the finite element analysis model of staggered shaft variable tooth thickness gear pair is established. According to the results of finite element calculation, the distribution of tooth surface contact stress and tooth root bending stress of master-follower gear pair with staggered shaft variable tooth thickness gear pair is analyzed, and the occurrence position of maximum contact stress and maximum bending stress and the strain of gear tooth are obtained. It provides the basis for the optimal design of gear pair.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
本文编号：2496122
[Abstract]:Staggered shaft variable tooth thickness gear pair transmission is a special form of involute gear transmission, this kind of gear pair can realize small shaft cross angle transmission, that is to say, there is a small angle between the active and passive gears. This kind of gear is widely used in the power transmission mechanism of yachts and speedboats. The geometric parameters of staggered shaft variable tooth thickness gear pair are many, and the design is difficult, and the existing gear strength calculation theory can not be used to solve the strength problem. Based on this, this paper introduces a design method of staggered shaft variable tooth thickness gear pair, and analyzes the distribution of contact stress and bending stress of a pair of staggered shaft variable tooth thickness gear pair by finite element method. Firstly, the meshing principle and main geometric parameters of staggered shaft variable tooth thickness gear pair are introduced, and a geometric design method of staggered shaft variable tooth thickness gear pair suitable for all kinds of transmission layout is introduced, that is, the method of ensuring installation parameters. In this paper, the advantages of this method over the traditional design method are analyzed, and two pairs of staggered shaft variable tooth thickness gears with different layout forms are designed on the basis of guaranteed installation parameter method, and one of them is taken as the research object of this paper. Secondly, according to the meshing relationship between the staggered shaft variable tooth thickness gear pair and the hypothetical rack in the meshing process, the tooth surface equation of a pair of staggered shaft variable tooth thickness gear pair is established by using the coordinate transformation theory. The tooth surface point set of gear pair is solved by using Matlab software according to the tooth surface equation. The tooth surface reconstruction of staggered shaft variable tooth thickness gear pair is realized by these tooth surface point sets in Pro/e, and then its three-dimensional solid model is established. Prepare for the subsequent finite element strength analysis. Finally, through the seamless connection between Pro/e and ANSYS software, the geometric model of gear pair is imported into ANSYS software, and on this basis, the finite element analysis model of staggered shaft variable tooth thickness gear pair is established. According to the results of finite element calculation, the distribution of tooth surface contact stress and tooth root bending stress of master-follower gear pair with staggered shaft variable tooth thickness gear pair is analyzed, and the occurrence position of maximum contact stress and maximum bending stress and the strain of gear tooth are obtained. It provides the basis for the optimal design of gear pair.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH132.41
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