Measurement and Evaluation of the Ellipsoid Deviation in Cartesian Coordinates
Measurement and Evaluation of the Ellipsoid Deviation in Cartesian Coordinates
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DOI：
10.1007/s12541-020-00408-7
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发表时间：
2020-09
影响因子：
1.9
通讯作者：
Fei Liu;Lin Liang;Guanghua Xu;Chenggang Hou;Dan Liu
中科院分区：
文献类型：
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作者：
Fei Liu;Lin Liang;Guanghua Xu;Chenggang Hou;Dan Liu
椭球体零件在产品制造中的应用越来越广泛，而高质量的椭球体零件不仅取决于制造和加工工艺，还取决于所采用的测量和评价方法。基于典型的二次曲面，提出了一种最小二乘椭球面偏差评定方法，以量化被测椭球面的形状偏差。与其他评价方法相比，该方法克服了测量适应性差的缺点。通过求取曲面方程的系数来代替被测点坐标的线性叠加，有效地均匀化和减小了被测点坐标中存在的测量误差，从而得到了准确的测量结果。实验验证结果表明，该方法对直角坐标系下的椭球面误差测量与评定是有效的，其自适应性在几何误差测量与评定中具有显著优势。
Ellipsoid part is now increasingly applied to the product manufacturing, while the high-quality ellipsoid part depends not only on the manufacturing and machining techniques, but also on the adopted measurement and evaluation approaches. Based on the typical quadratic surface, an evaluation method of the least squares ellipsoid deviation is proposed in this paper to quantify the form deviation of measured ellipsoid. The method can overcome the weakness of the low measurement adaptability compared with other evaluation methods. With obtaining the coefficients of surface equation to replace the linear superposing of the coordinates of measured points, the measurement error existing in the coordinates of measured points is homogenized and reduced effectively, which prompts to obtain the accurate measurement result. Finally, the results from experimental verifications show that the proposed method is effective for the measurement and evaluation of the ellipsoid deviation in Cartesian coordinates, and the adaptability is also a significant advantage in the measurement and evaluation of geometry deviation.