Visualization of phase differences between tooth helix deviations using graph theory
Visualization of phase differences between tooth helix deviations using graph theory
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使用图论可视化齿螺旋偏差之间的相位差
DOI：
10.1007/s10010-019-00358-1
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Moriwaki I.
中科院分区：
文献类型：
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作者：
Iba D.;Noda H.;Inoue H.;Kim M.;Moriwaki I.
这项研究的目的是创建人眼友好的网络图像，表示在运行过程中导致振动和噪声的齿轮制造误差。特别是，本文提出了一种牙齿螺旋线偏差之间的相位差的可视化方法。首先，测量了齿轮的齿面螺旋线偏差。然后，去除测量偏差数据中的直流分量，并用适当波长的高斯滤波消除测量偏差数据中的粗糙度分量，以提取形状偏差分量。此外，通过计算所有牙齿的偏差数据之间的内积来计算相关系数，以获取相位差。然后，基于图论，将每颗牙齿和相关系数视为一个顶点和边，生成了牙齿螺旋线偏差之间的相位差的网络图像。本文给出了一个齿数为15的磨削斜齿轮的螺旋线偏差网络图像。创建的网络图像显示，制造的齿轮有三个与该阶段相关的类别。8颗连续的牙齿组成三个类别之一，对侧的五个连续的牙齿属于另一个类别。两个班之间存在负相关，前两个班之间存在第三个班。这意味着测量的齿轮有很大的可能发生平面外振动。我们开发的方法将允许对齿轮进行简单的评估。
The purpose of this study is to create eye-friendly network images representing manufacturing error of gears which cause vibration and noise during operation. Especially, this paper proposes a visualization method of phase differences between tooth helix deviations. Firstly, the tooth helix deviations of a gear were measured. Then, the DC components in the measured deviation data were eliminated, and a Gaussian filter with a suitable wavelength diminished the roughness components in the measured deviation data for extracting shape deviation components. Furthermore, correlation coefficients were derived by calculating the inner product between the deviation data of all teeth for acquisition of the phase differences. Then, a network image of the phase differences between the tooth helix deviations was generated by regarding each tooth and correlation coefficient as a vertex and edge based on the graph theory. The helix deviation network image of a ground helical gear, whose tooth number was 15, was shown in this paper. The created network image showed that the manufactured gear had three classes related to the phase. Eight consecutive teeth constituted one of the three classes and five consecutive teeth on the opposite side were belonging to the other class. The two classes had negative correlation, and the third class existed between the first two classes. This means that the measured gear had a possibility of out-of-plane vibration. The method we have developed will allow for the simple evaluation of gears.
滚齿齿轮单节距偏差测量新方法（使用经高斯滤波器调节的测量螺旋线形状数据）
DOI：
10.1299/transjsme.16-00128
发表时间：
2016
期刊：
影响因子：
--
作者：
Myungsoo Kim;D. Iba;Tomohiro Tatsumi;Junichi Hongu;M. Nakamura;I. Moriwaki
通讯作者：
I. Moriwaki