偏置正交面齿轮的齿面生成及CAE分析

发布时间：2018-05-25 10:47

本文选题：偏置正交面齿轮 + 齿面生成　；参考：《华南理工大学》2011年硕士论文

【摘要】：面齿轮传动是一种新型齿轮传动技术,已经在低速轻载传动系统中得到了广泛应用,并在高速重载的航空航天传动系统中得到了成功应用。面齿轮的齿面形状非常复杂,在加工过程中会出现两种现象:第一种是在轮齿内径处容易产生根切;第二种是在轮齿外径处会产生齿顶变尖。这样使得面齿轮的齿宽受到一定的限制,影响其承载能力。此外,面齿轮传动是一种点接触传动,传统的齿轮强度校核理论已经不适用于面齿轮的应力分析。有限元法则没有这个限制,它能计算出轮齿上各处的应力和应变的变化情况,在面齿轮的应力分析中表现出极大的优越性。本文首先建立了偏置正交面齿轮的加工坐标系。基于齿轮啮合原理,由刀具齿面方程推导出偏置正交面齿轮的齿面方程,计算了偏置正交面齿轮不产生根切和齿顶不变尖的条件,并推导出了偏置正交面齿轮齿面的齿根过渡曲面方程,实现了偏置正交面齿轮齿面的可视化。然后,在Pro/E软件中实现了直齿圆柱齿轮的参数化建模,基于偏置正交面齿轮的齿面方程,对偏置正交面齿轮进行了实体建模,并对偏置正交面齿轮传动进行了运动仿真分析,检查传动模型是否存在体积干涉,且对偏置正交面齿轮进行了压铸模设计。接着,简单介绍了确定齿轮危险截面位置的几种常用方法,运用内切抛物线法导出了偏置正交面齿轮的危险截面位置的计算方法,并通过实例计算得到偏置正交面齿轮承受最大弯曲应力的位置均在齿面中部的结果。最后,运用CAE分析软件ANSYS对直齿圆柱齿轮和偏置正交面齿轮进行了静态弯曲应力分析。直齿圆柱齿轮的CAE分析结果表明:在集中载荷作用下,直齿圆柱齿轮承受最大弯曲应力的位置均在齿根处;当集中载荷向两端移动时,直齿圆柱齿轮承受的弯曲应力逐渐变大;齿宽越长,直齿圆柱齿轮的抗弯曲性能越好。偏置正交面齿轮的CAE分析结果表明:在集中载荷作用下,偏置正交面齿轮承受最大弯曲应力的位置均在齿面中部;当集中载荷向两端移动时,偏置正交面齿轮承受的弯曲应力逐渐变大;齿宽越长,偏置正交面齿轮的抗弯曲性能越好。
[Abstract]:Surface gear transmission is a new type of gear transmission technology, which has been widely used in low speed light load transmission system, and has been successfully applied in high speed and heavy load aerospace transmission system. The tooth surface shape of the face gear is very complicated and there are two kinds of phenomena in the machining process: the first is the root cutting is easy to be produced at the inner diameter of the gear tooth, and the second is that the top tooth tip will be sharpened at the outer diameter of the gear tooth. In this way, the tooth width of the face gear is limited and its bearing capacity is affected. In addition, the surface gear transmission is a point contact transmission, and the traditional theory of gear strength checking is not suitable for the stress analysis of the face gear. The finite element method has no such limitation. It can calculate the variation of stress and strain everywhere on the gear tooth, and it shows great superiority in the stress analysis of the face gear. In this paper, the machining coordinate system of offset orthogonal face gear is established. Based on the gear meshing principle, the tooth surface equation of the offset orthogonal face gear is derived from the cutter tooth surface equation, and the condition that the offset orthogonal face gear does not produce the root cutting and the tooth top invariant tip is calculated. The equation of tooth root transition surface of offset orthogonal face gear tooth surface is deduced, and the visualization of offset orthogonal face gear tooth surface is realized. Then, the parametric modeling of spur gear is realized in Pro/E software. Based on the tooth surface equation of offset orthogonal face gear, the solid modeling of offset orthogonal face gear is carried out, and the kinematic simulation analysis of offset orthogonal face gear transmission is carried out. Check whether there is volume interference in transmission model and design die casting die for offset orthogonal face gear. Then, several common methods to determine the dangerous section position of gear are introduced, and the calculation method of dangerous section position of offset orthogonal face gear is derived by using the internal tangent parabola method. The results show that the maximum bending stress of the offset orthogonal face gear is in the middle of the tooth surface. Finally, the static bending stress of spur gear and offset orthogonal face gear are analyzed by CAE software ANSYS. The CAE analysis results of spur gear show that the position of maximum bending stress of spur gear is at the root of tooth under the action of concentrated load, and the bending stress of spur gear increases gradually when the concentrated load moves to both ends. The longer the tooth width, the better the bending resistance of spur gear. The results of CAE analysis of offset orthogonal face gear show that the position of maximum bending stress of offset orthogonal face gear is in the middle of tooth surface under the action of concentrated load, and when the concentrated load moves to both ends of gear, the position of maximal bending stress of offset orthogonal face gear is in the middle of tooth surface. The bending stress of the offset orthogonal gear increases gradually, and the longer the tooth width, the better the bending resistance of the offset orthogonal face gear.
【学位授予单位】：华南理工大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：TH132.41

【引证文献】