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Method for Compensation of Radius and Shape of Spherical Probe When Measuring Complex Surfaces with CMMs

机译:用CMMS测量复杂表面时,用于补偿球面探头的半径和形状的方法

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Measurement practice on coordinate measuring machines showed that the real measurement accuracy is usually much higher than indicated in the technical documentation. The overall error in measuring the geometry consists of the errors in determining the point of contact on the surface of the part, compensation for deviations in the location of the base surfaces, and errors in calculating the surface parameters. The error in determining the touch point of the probe and the part is due to the difference in direction between the normals to the nominal and real surfaces. Therefore, the calculation becomes necessary to compensate the radius of the touch probe. A simple compensation method calculates only the normal to the nominal surface of the workpiece. More advanced methods take into account the coordinates of neighboring touch points and calculate equidistant surfaces. The article proposes an iterative method of compensating the radius of the probe by successively refining the coordinates of the point of tangency with respect to the nominal surface. In this method, the angle between the normals to the nominal and real surfaces at each measured point is minimized. Comparison of the results of compensation of the probe radius by the developed method with the standard method confirmed the high efficiency. The article provides an example of calculating the compensation of the probe radius for the turbine blade of the compressor, which showed a decrease in the measurement error by 23-29%. The application of the new method is useful when there is a small number of measured points and their location on the complex uneven surface.
机译:坐标测量机上的测量实践表明,实际测量精度通常远高于技术文档中所示。测量几何形状的总误差包括确定部分表面上的接触点,补偿基表面的位置处的偏差,以及计算表面参数的误差。确定探头的触摸点的误差和部分是由于标称和实际表面之间的正线方向的差异。因此,需要计算来补偿触摸探头的半径。简单的补偿方法仅计算工件的标称表面的正常。更高级的方法考虑了相邻触摸点的坐标并计算等距曲面。本文提出了一种通过连续地改进相切点相对于标称表面的角度的坐标来补偿探针半径的迭代方法。在该方法中,在每个测量点处的标称和实际表面之间的标准和实际表面之间的角度最小化。用标准方法通过开发方法进行探针半径补偿结果的比较证实了高效率。该物品提供了计算压缩机的涡轮机叶片的探针半径的补偿的示例,其显示测量误差减少23-29%。当在复杂的不平坦表面上有少量测量点和它们的位置时,新方法的应用是有用的。

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