An Adaptive Measurement Point Distribution Algorithm for Spiral Bevel Gear Tooth Surface
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摘要: 针对现有螺旋锥齿轮齿面检测方法不能全面反映齿面的结构特性以及测量数据量过大、测量设备成本高、测量路径复杂、测量点布局没有考虑制造质量特征的影响等问题，提出了螺旋锥齿轮齿面测量点的自适应分布方法，建立了螺旋锥齿轮齿面几何特征和制造质量特征的云模型，研究了螺旋锥齿轮齿面测量点分布算法。并以螺旋锥齿轮副中的小齿轮为例进行了算法验证，结果表明：使用该方法得到的螺旋锥齿轮齿面测量点分布反映了齿面的几何特征和制造质量特征，分布测量点相对较少，基本符合测量点分布预期。Abstract: Because the spiral bevel gear tooth surface detection method can not reflect the structural characteristics, large amount of measurement data and high cost of measurement equipment, and because the complex measurement path and the measuring point layout do not consider the influence of manufacturing quality characteristics, an adaptive measurement point distribution algorithm for the spiral bevel gear tooth surface was presented. The cloud models of geometric features and manufacturing quality characteristics of the spiral bevel gear tooth surface were established respectively. The spiral bevel gear tooth surface measurement point distribution algorithm was studied. A numerical example of pinion was given and validated. The results indicate that the spiral bevel gear tooth surface measurement point distribution algorithm reflects the tooth surface geometry and manufacturing quality characteristics, needs relatively few measurement points and distributes them as expected.
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表 1 螺旋锥齿轮的设计参数
名称 小轮数值 齿数 10 节锥角/(°) 17.57 面锥角/(°) 22.08 根锥角/(°) 16.65 齿面宽/mm 59.48 节锥顶点到交叉点距离/mm 5.98 面锥顶点到交叉点距离/mm 1.78 根锥顶点到交叉点距离/mm -0.25 
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