Straightness error is an important parameter in measuring high-precision shafts. New generation geometrical product speeifieation（GPS） requires the measurement uncertainty characterizing the reliability of the resul...Straightness error is an important parameter in measuring high-precision shafts. New generation geometrical product speeifieation（GPS） requires the measurement uncertainty characterizing the reliability of the results should be given together when the measurement result is given. Nowadays most researches on straightness focus on error calculation and only several research projects evaluate the measurement uncertainty based on ＂The Guide to the Expression of Uncertainty in Measurement（GUM）＂. In order to compute spatial straightness error（SSE） accurately and rapidly and overcome the limitations of GUM, a quasi particle swarm optimization（QPSO） is proposed to solve the minimum zone SSE and Monte Carlo Method（MCM） is developed to estimate the measurement uncertainty. The mathematical model of minimum zone SSE is formulated. In QPSO quasi-random sequences are applied to the generation of the initial position and velocity of particles and their velocities are modified by the constriction factor approach. The flow of measurement uncertainty evaluation based on MCM is proposed, where the heart is repeatedly sampling from the probability density function（PDF） for every input quantity and evaluating the model in each case. The minimum zone SSE of a shaft measured on a Coordinate Measuring Machine（CMM） is calculated by QPSO and the measurement uncertainty is evaluated by MCM on the basis of analyzing the uncertainty contributors. The results show that the uncertainty directly influences the product judgment result. Therefore it is scientific and reasonable to consider the influence of the uncertainty in judging whether the parts are accepted or rejected, especially for those located in the uncertainty zone. The proposed method is especially suitable when the PDF of the measurand cannot adequately be approximated by a Gaussian distribution or a scaled and shifted t-distribution and the measurement model is non-linear.展开更多
基于对新一代GPS(geometrical product specification and verification)中关键操作技术的深入分析,揭示提取与滤波、拟合之间固有的内在规律性,给出操作间参数的选用原则,为统筹优化几何误差数字化评定中的操作策略提供技术基础;最终...基于对新一代GPS(geometrical product specification and verification)中关键操作技术的深入分析,揭示提取与滤波、拟合之间固有的内在规律性,给出操作间参数的选用原则,为统筹优化几何误差数字化评定中的操作策略提供技术基础;最终通过实例验证关键操作集成化思想对几何误差评定的高效稳定性,不仅有利于实现几何误差数字化计量精度和成本的优化,而且还推进了新一代GPS标准体系关键技术的应用研究。展开更多
基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模...基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模型的不确定度估计公式。实验结果表明,新一代GPS利用操作及操作算子技术可以规范、准确、高效地实现空间直线度误差的评定,且可操作性强;提出的空间直线度误差最小二乘评定的不确定度估计,不仅保证了空间直线度评定结果的完整性和有效性,而且可对我国现行的直线度误差检测标准的应用进行有益的补充。展开更多
基金supported by National Natural Science Foundation of China (Grant No. 51075198)Jiangsu Provincial Natural Science Foundation of China (Grant No. BK2010479)+2 种基金Innovation Research of Nanjing Institute of Technology, China (Grant No. CKJ20100008)Jiangsu Provincial Foundation of 333 Talents Engineering of ChinaJiangsu Provincial Foundation of Six Talented Peak of China
文摘Straightness error is an important parameter in measuring high-precision shafts. New generation geometrical product speeifieation（GPS） requires the measurement uncertainty characterizing the reliability of the results should be given together when the measurement result is given. Nowadays most researches on straightness focus on error calculation and only several research projects evaluate the measurement uncertainty based on ＂The Guide to the Expression of Uncertainty in Measurement（GUM）＂. In order to compute spatial straightness error（SSE） accurately and rapidly and overcome the limitations of GUM, a quasi particle swarm optimization（QPSO） is proposed to solve the minimum zone SSE and Monte Carlo Method（MCM） is developed to estimate the measurement uncertainty. The mathematical model of minimum zone SSE is formulated. In QPSO quasi-random sequences are applied to the generation of the initial position and velocity of particles and their velocities are modified by the constriction factor approach. The flow of measurement uncertainty evaluation based on MCM is proposed, where the heart is repeatedly sampling from the probability density function（PDF） for every input quantity and evaluating the model in each case. The minimum zone SSE of a shaft measured on a Coordinate Measuring Machine（CMM） is calculated by QPSO and the measurement uncertainty is evaluated by MCM on the basis of analyzing the uncertainty contributors. The results show that the uncertainty directly influences the product judgment result. Therefore it is scientific and reasonable to consider the influence of the uncertainty in judging whether the parts are accepted or rejected, especially for those located in the uncertainty zone. The proposed method is especially suitable when the PDF of the measurand cannot adequately be approximated by a Gaussian distribution or a scaled and shifted t-distribution and the measurement model is non-linear.
文摘基于对新一代GPS(geometrical product specification and verification)中关键操作技术的深入分析,揭示提取与滤波、拟合之间固有的内在规律性,给出操作间参数的选用原则,为统筹优化几何误差数字化评定中的操作策略提供技术基础;最终通过实例验证关键操作集成化思想对几何误差评定的高效稳定性,不仅有利于实现几何误差数字化计量精度和成本的优化,而且还推进了新一代GPS标准体系关键技术的应用研究。
文摘基于新一代产品几何技术规范(geometrical product specification,GPS)的操作及操作算子技术评定空间直线度误差,给出最小二乘评定的数学模型;根据GUM(guide to the expression of uncertainty in measurement,GUM)建议的方法,导出该模型的不确定度估计公式。实验结果表明,新一代GPS利用操作及操作算子技术可以规范、准确、高效地实现空间直线度误差的评定,且可操作性强;提出的空间直线度误差最小二乘评定的不确定度估计,不仅保证了空间直线度评定结果的完整性和有效性,而且可对我国现行的直线度误差检测标准的应用进行有益的补充。
