微小圆柱零件圆度测量不确定度评价

Uncertainty evaluation of roundness measurement for small cylindrical parts

  • 摘要: 针对微小圆柱工件圆度测量中传统方法受装夹误差、偏心等因素限制的问题,提出一种非接触式超精密坐标扫描法,并分析其圆度测量不确定度。该方法基于分段线性扫描拼接原理,搭建由光谱共焦传感器和线性位移台组成的试验平台,对理论直径0.25 mm的圆柱工件进行测量。将截面圆均分为18段并采集圆弧坐标数据,采用最小二乘拟合和互相关补偿技术重构圆度轮廓,结合蒙特卡罗方法进行不确定度分析。试验结果表明,在 50、150 和 500 UPR滤波条件下,圆度平均值分别为 0.025 85 μm(标准差0.003 43 μm)、0.100 31 μm(标准差 0.020 16 μm)和 0.236 89 μm(标准差 0.040 39 μm),对应半径平均值分别为 0.250 39 mm(标准差 0.000 95 mm)、0.250 42 mm(标准差 0.000 94 mm)和 0.250 44 mm(标准差 0.000 96 mm)。不确定度评价显示,150 UPR滤波时,圆度扩展不确定度小于0.003 5 μm,半径扩展不确定度约0.018 μm,该方法验证了高精度、稳定性和可靠性,为微小圆柱工件的几何精度评价提供有效解决方案。

     

    Abstract: Limitations of traditional roundness measurement methods for micro cylindrical components, including susceptibility to clamping errors, eccentricity and alignment deviation, were addressed by introducing a non-contact ultra precision coordinate scanning method for uncertainty evaluation. The method was developed based on the principle of segmental linear scanning and stitching, and an experimental platform composed of a chromatic confocal sensor and a linear displacement stage was constructed to measure a cylindrical workpiece with a diameter of 0.25 mm. The cross section was divided into eighteen segments for arc coordinate acquisition, and the roundness profile was reconstructed using least squares fitting and cross-correlation compensation. Uncertainty was evaluated through Monte Carlo simulation based on the reconstructed profiles. Experimental results show that under filtering scales of 50, 150 and 500 UPR, the average roundness values are 0.025 85 μm (standard deviation 0.003 43 μm), 0.100 31 μm (standard deviation 0.020 16 μm) and 0.236 89 μm (standard deviation 0.040 39 μm), respectively. The corresponding average radius values are 0.250 39 mm (standard deviation 0.000 95 mm), 0.250 42 mm (standard deviation 0.000 94 mm) and 0.250 44 mm (standard deviation 0.000 96 mm). The uncertainty evaluation indicates that under the 150 UPR filtering condition, the expanded roundness uncertainty is less than 0.0035 μm and the expanded radius uncertainty is approximately 0.018 μm. High precision, stability and reliability of the method are demonstrated, providing an effective solution for geometric accuracy evaluation of micro-scale cylindrical components.

     

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