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作用尺寸是评定形状误差和尺寸的一项综合指标。本文利用通用的圆度仪和数字采样方式,采取逐个测量正截面的方法,探讨综合测量外圆柱面圆度、圆柱度误差和作用尺寸的基本理论。由最小二乘、最小外接和最小区域几种评定指标,建立了比较系统、精确和完善的数学模型。使用求解非光滑极值的Overshoot search方法和著名的BFGS变尺度方法进行最优化处理。根据采样技术和时间序列分析的有关理论,确定了正截面上采样点数的合适范围和各截面之间的间距。运用删点技术提高计算效率。通过大量测量和由微机计算,取得了满意的结果。
The role of size is to assess the shape error and size of a composite index. In this paper, we use the universal roundness meter and digital sampling method to take the measurement of the normal cross-section one by one to discuss the basic theory of comprehensive measurement of cylindrical surface circularity, cylindrical error and the role of size. The least squares, the smallest external and the smallest area of several assessment indicators, the establishment of a more systematic, accurate and complete mathematical model. Use the Overshoot search method for solving nonsmooth extreme values and the famous BFGS scaling method for optimization. According to the relevant theory of sampling technique and time series analysis, the suitable range of the sampling points on the positive section and the interval between the sections are determined. Use point delete technology to improve computational efficiency. Through a large number of measurements and calculated by the computer, and achieved satisfactory results.