基于Weibull分布模型的不规则矿石颗粒强度分布  

Strength distribution of irregular ore particles based on Weibull distribution model

作　　者：汪轶凡 肖庆飞[1] 高志勇[2] 周强[1,3,4] 金赛珍 王梦涛 王庆凯 WANG Yifan;XIAO Qingfei;GAO Zhiyong;ZHOU Qiang;JIN Saizhen;WANG Mengtao;WANG Qingkai(College of Land and Resources and Engineering,Kunming University of Science and Technology,Kunming 650093,China;School of Minerals Processing and Bioengineering,Central South University,Changsha 410083,China;State Key Laboratory of Intelligent Optimized Manufacturing in Mining&Metallurgy Process,Beijing 102628,China;Beijing Key Laboratory of Process Automation in Mining&Metallurgy,Beijing 102628,China)

机构地区：[1]昆明理工大学国土资源工程学院,昆明650093 [2]中南大学资源加工与生物工程学院,长沙410083 [3]矿冶过程智能优化制造全国重点实验室,北京102628 [4]矿冶过程自动控制技术北京重点实验室,北京102628

出　　处：《中国有色金属学报》2024年第11期3876-3886,共11页The Chinese Journal of Nonferrous Metals

基　　金：国家自然科学基金资助项目(52374269,52304290);矿冶过程智能优化制造全国重点实验室开放研究基金(BGRIMMKZSKL-2022-01)。

摘　　要：不规则矿石颗粒的强度分布决定其断裂行为与破碎产品粒度分布。本文采用不同形式的Weibull分布模型分别拟合不同尺寸的铜矿石颗粒和锡矿石颗粒的强度分布,并对不同模型中的参数进行比较分析。结果表明:两参数Weibull分布模型对两种矿石颗粒强度分布的拟合效果均较好,且在双对数坐标系下,两种矿石颗粒的模型参数(特征破碎强度σ_0和两参数Weibull分布模量m)都随着颗粒尺寸d的增加而线性减小;在两参数Weibull分布模型的基础上,通过引入权重因子w与强度阈值σ_(th)分别构建两段Weibull分布模型和三参数Weibull分布模型,发现两段Weibull分布模型可定量描述剪切破坏与张拉破坏在整个破碎过程中对不规则矿石颗粒的破坏程度,而三参数Weibull分布模型可对低应力强度数据偏离两参数Weibull分布模型拟合曲线得到解释并加以修正。研究成果为碎磨设备操作参数的确定与设备选型提供理论指导,进一步丰富了不规则颗粒强度分布理论与研究方法。The strength distribution of irregular ore particles determines their fracture behavior and the particle size distribution of crushed products.In this paper,different forms of Weibull distribution models were used to fit the strength distributions of copper ore particles and tin ore particles of different sizes,and the parameters in different models were compared and analyzed.The results show that the two-parameter Weibull distribution model fits the strength distribution of the two ore particles well and the model parameters of the two ore particles(characteristic crushing strengthσ0 and two-parameter Weibull distribution modulus m)decrease linearly with the increase of particle size d in the double logarithmic coordinate system.On the basis of the two-parameter Weibull distribution model,the two-stage Weibull distribution model and the three-parameter Weibull distribution model are constructed by introducing the weight factor w and the intensity thresholdσth,respectively,and the fitting results of the strength distribution show that the two-stage Weibull distribution model can quantitatively describe the damage degree of shear failure and tensile failure to irregular ore particles during the whole crushing process,while the three-parameter Weibull distribution model can correct the deviation of the low-stress intensity data from the fitting curve of the two-parameter Weibull distribution model.The research results provide theoretical guidance for the determination of operating parameters and equipment selection of crushing equipment,and further enrich the theory and research methods of the strength distribution of irregular particles.

关 键 词：不规则矿石颗粒 Weibull分布模型 脆性物料破碎特性 强度分布 

分 类 号：TD98[矿业工程—选矿]