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基于Weibull分布模型的不规则矿石颗粒强度分布

冶金工程 • 矿业工程 • 化学化工

基于Weibull分布模型的不规则矿石颗粒强度分布

轶凡
庆飞
志勇
赛珍
梦涛
庆凯
中国有色金属学报第34卷, 第11期pp.3876-3886纸质出版 2024-11-28
9300

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σ0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σth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。

不规则矿石颗粒Weibull分布模型脆性物料破碎特性强度分布
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