乏信息材料布氏硬度测量误差的灰自助预报

乏信息材料布氏硬度测量误差的预报是硬度计量领域的新兴课题,有别于传统的统计学理论,综合灰色系统理论和自助法的理论知识,提出一种实现乏信息材料布氏硬度测量误差预报新方法.对小样本空间的材料布氏硬度测量数据中各误差源影响进行标定,计算各误差源对测量结果的误差传递系数,并对各误差源数据序列进行自助法抽样,通过灰自助融合建模获得误差源标定预测值;按照误差合成的方法实现乏信息材料布氏硬度测量误差的灰自助预报.通过具体的实例进行计算,所得的预报结果与采用标准硬度机所得测量结果一致,验证了乏信息材料布氏硬度测量误差灰自助预报新方法.

Error predicting for material Brinell hardness measurement of poor information based on grey bootstrap method

Error predicting for material Brinell hardness measurement of poor information is a common problem in the field of hardness measurement. Only small sample measurement data obtained for Brinell hardness measurements are destructive. Different from statistical methods, a novel poor information Brinell hardness measurement error prediction method was presented, which was based on grey system theory and bootstrap theory. After calibrated all measurement error sources, all measurement error transfer coefficients should be calculated and the calibration data of error sources should be sampled in terms of bootstrap theory. The predictions of calibration data of all error sources were gained by a grey Bootsrap fusion model. The error prediction values were obtained for material Brinell hardness measurement of poor information in terms of error combination principle. In an example of a general Brinell hardness measurement, the predicting Brinell hardness measurement errors acquired by this novel proposed method and the actual measurement errors were shown to be in a good agreement with each other, and the validity of the proposed method was also represented.