非统计方法在力学分析中的应用

Application of statistical method in mechanical analysis

被测材料布氏硬度通常采用力加载测量实验获得。以大量的实验数据和理论分析为基础,研究被测材料布氏硬度值与材料力学性能的关系,并进一步研究布氏硬度测量误差产生的根源和布氏硬度测量的力加载特性,对整个材料布氏硬度测量全过程进行有限元分析,依据蒙特卡罗方法进行大样本的材料布氏硬度测量仿真,统计分析后获得材料布氏硬度测量结果和测量不确定度,进而在理论上分析具体材料布氏硬度测得值的合理性与正确性。最后采用HB-3000C进行布氏硬度测量为例论证本文力学分析方法。

Most reliable material brinell hardness values are usually measured by force loading Brinell hardness testers.In this paper,firstly,based on a great deal of experiment data and theoretical analysis,not only the relationship between Brinell hardness and mechanical properties of the measured material was discussed,but also all measurement uncertainty sources were precisely calibrated.Secondly,force loading characteristics of the Brinell hardness measurement was described and a finite element analysis for the whole Brinell hardness measurement process was carried out.Thirdly,the authors used Monte Carlo method to simulate lots of Brinell hardness experiments in the computer,and acquired theoretical measurement uncertainties and the reliable Brinell hardness values of the measured material in terms of statistical calculation.At last,in an example of a general HB-3000C Brinell hardness measurement,the Brinell hardness results acquired by this novel mechanics analysis method and the practical experiments were shown to be in a good agreement with each other,and the validity of the proposed method was also represented.