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Visualization of phase differences between tooth helix deviations using graph theory

机译:使用曲线论牙齿螺旋偏差之间的相位差异的可视化

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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, 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 in 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.
机译:本研究的目的是创建代表齿轮的制造误差的眼睛友好的网络图像,这在操作期间导致振动和噪声。特别是,本文提出了一种牙齿螺旋偏差之间相差的可视化方法。首先,测量齿轮的牙齿螺旋偏差。然后,通过计算所有齿的偏差数据之间的内部产品来获得相关系数以获取相位差。然后,通过基于图形理论,通过将每个齿和相关系数关于每个牙齿和相关系数而产生牙齿螺旋偏差之间的相位差的网络图像。本文示出了牙数为15的底斜齿轮的螺旋偏差网络图像。所创建的网络图像显示制造的齿轮有三个与该相相关的类。连续八齿构成三个课程中的一个,另一级连续五齿属于另一类。这两个类具有负相关性,第三类存在于前两个类之间。这意味着测量的齿轮具有面外振动的可能性。我们开发的方法将允许简单的齿轮评估。

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