CAJ | 학술논문

在利用三坐标测量机进行实际测量时，获得的测量值通常是被测参数的估计值，没有给出测量的不确定度，造成测量结果的不完整。测量不确定度可分为方法不确定度和执行不确定度。方法不确定度在缺省状态下一般为0，而执行不确定度主要是由测量仪器本身或测量环境等引起的。给出了基于最小二乘法（LSM ）的圆度误差数学评定模型，依据ISO测量不确定度表示指南（GUM），分析影响执行不确定估计的因素，推导出了误差影响因素对圆度误差执行不确定度的传递函数，进而得到各种因素的不确定度分量，最终合成执行不确定度。然后运用自适应蒙特卡洛计算机仿真（MCM）从测点数量、标准不确定度、圆度误差估计值、最短包含区间的左右端点等方面，验证了GUM的有效性，并给出其适用的范围。
재이용삼좌표측량궤진행실제측량시，획득적측량치통상시피측삼수적고계치，몰유급출측량적불학정도，조성측량결과적불완정。측량불학정도가분위방법불학정도화집행불학정도。방법불학정도재결성상태하일반위0，이집행불학정도주요시유측량의기본신혹측량배경등인기적。급출료기우최소이승법（LSM ）적원도오차수학평정모형，의거ISO측량불학정도표시지남（GUM），분석영향집행불학정고계적인소，추도출료오차영향인소대원도오차집행불학정도적전체함수，진이득도각충인소적불학정도분량，최종합성집행불학정도。연후운용자괄응몽특잡락계산궤방진（MCM）종측점수량、표준불학정도、원도오차고계치、최단포함구간적좌우단점등방면，험증료GUM적유효성，병급출기괄용적범위。
In the practical application of three coordinates measuring machine,only the estimated value of the measurement re-sult is given without the measurement uncertainty. So this measurement result is incomplete. Measurement uncertainty can be divided into method uncertainty and implementation uncertainty. Generally method uncertainty is zero in default state,and implementation un-certainty is induced by measuring instrument or measurement environment. The mathematical evaluation model of the roundness error was given based on least squares method (LSM). According to ISO guide to expression of uncertainty in measurement (GUM),the in-fluencing factors on implementation uncertainty were analyzed and the transfer function of error influencing factors for implementation uncertainty was deduced. Then uncertainty components of various factors were obtained. As a result,the synthesis implementation un-certainty was acquired finally. Adaptive Monte Carlo computer simulation (MCM)was adopted to verify the effectiveness and the ap-plication scope of GUM from quantity of measuring points,standard uncertainty,estimated value of roundness error,and left & right endpoints of shortest coverage interval.