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作 者:曾海英 叶沛楠 金华辉 刘京雨 岑夺丰 ZENG Haiying;YE Peinan;JIN Huahui;LIU Jingyu;CEN Duofeng(Yuhuan Agriculture and Water Conservancy Bureau,Taizhou 317600,China;Zhejiang Guangchuan Engineering Consultation Limited Company,Hangzhou 310020,China;School of Civil and Transportation Engineering,Hebei University of Technology,Tianjin 300401,China;Institute of Rock Mechanics,Ningbo University,Ningbo 315211,China)
机构地区:[1]玉环市农业农村和水利局,浙江台州317600 [2]浙江广川工程咨询有限公司,浙江杭州310020 [3]河北工业大学土木与交通学院,天津300401 [4]宁波大学岩石力学研究所,浙江宁波315211
出 处:《浙江大学学报(工学版)》2024年第10期2119-2127,2181,共10页Journal of Zhejiang University:Engineering Science
摘 要:现有块石形状特征的数值模型或过于简化块石形状或未进行块石形状的频率统计,为此基于主成分分析算法(PCA)和K均值聚类算法,提出新的建模方法.利用Matlab对土石混合体断面照片进行数字图像处理,得到块石轮廓样本;对块石轮廓进行形心原点化、长轴水平化、最大极径归一化等标准化处理,得到标准化后的块石轮廓向量.分别采用PCA和K均值聚类算法对块石轮廓向量进行降维和聚类,对得到的分类块石形状进行频率统计.建立考虑块石形状分类及频率、颗粒级配、块石倾角的土石混合体随机模型,进行双轴压缩数值模拟,分析塑性应变和应力-应变曲线特征.在较高含石量和较大块石粒径情况下比较模型的变形和抗压强度,考虑块石形状的土石混合体模型与传统含多边形块石的土石混合体模型差异明显.Existing numerical models of rock block shape characteristics either oversimplified the block shapes or did not carry out the statistics of the block shapes.A new modeling method was proposed based on the principal component analysis algorithm(PCA)and K-means clustering algorithm.Matlab programs were used to digitally process the cross-section photos of the soil-rock mixture to obtain the contour samples of rock blocks,and the standardization processings of rock block contour such as moving the centroid to the origin,rotating the long-axis to the horizontal-axis,and normalizing the polar radius were performed to obtain standardized silhouette vectors of rock blocks.The PCA was used to reduce the dimension of the contour vector of the rock blocks,and the K-means clustering algorithm was used to cluster the contour vector after the dimension reduction.The shapes of the rock blocks were classified and the frequencies of various types of rock blocks were counted.A random model of soilrock mixture considering the shape classification and frequency,grain composition,and inclination was established.The biaxial compression numerical simulation was carried out,and the characteristics of the plastic strain and the stress-strain curves were analyzed.The models of the deformation and compression strength of the soil-rock mixture considering the rock block shape are significantly different from those of the traditional soil-rock mixture models with polygonal rock blocks,under the conditions of higher rock content and larger rock block size.
关 键 词:土石混合体 块石形状 主成分分析算法(PCA) K均值聚类算法
分 类 号:P642.3[天文地球—工程地质学]
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