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密级配沥青混合料矿料分布分形特征

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Keywords: 道路工程,密级配沥青混合料,分形分布,模糊,级配,自相似性

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Abstract:

为了确定密级配沥青混合料矿料分形分维的适用条件,利用最小二乘法对矿料级配双对数坐标图进行线性拟合,得到矿料分布分形维数,在此基础上,按照定义的模糊分维对《公路沥青路面施工技术规范》中密级配沥青混合料矿料分形分布特征――分形维数和自相似性进行了判定。结果表明沥青混合料矿料级配分布是一个模糊分形系统,不具有严格的自相似性,而是统计意义上的自相似;密级配沥青混合料矿料级配的分形维数在2.33~2.59范围内变化,且在同一尺度范围内,级配上限比级配下限具有更高的分维数;密级配沥青混合料矿料级配的分布具有较为显著的一重分形,只需一个分形维数就可以表征该级配的分形特征。

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