| 缩尺方法的分形解释 |
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| 引用本文： | 尤培波,武利强,宋师奇,魏匡民,鲁传银. 缩尺方法的分形解释[J]. 三峡大学学报(自然科学版), 2013, 35(4): 37-39 |
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| 作者姓名： | 尤培波 武利强 宋师奇 魏匡民 鲁传银 |
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| 作者单位： | 1. 河南城建学院交通工程系,河南平顶山,467036
2. 河海大学水文水资源与水利水电工程科学国家重点实验室,南京 210098;河海大学水工结构研究所,南京 210098 |
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| 基金项目： | 河南省教育厅科学技术研究重点项目资助 |
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| 摘 要： | 从理论上证明了工程中常用的Talbot级配曲线符合分形理论．在此基础上，对规范中常见的4种缩尺方法进行了分形解释，首次对缩尺方法从理论上进行了分析．结果表明，剔除法和相似级配法缩尺后级配仍为分形级配，且分形维数不变，这两种缩尺方法本质相同，可以相互转换；等量替代法和混合法缩尺后，级配结构发生变化，分形维数也不同，但可用修正后的分形级配公式反映．
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| 关 键 词： | 粗粒料 缩尺方法 分形理论 土石坝 |
Fractal Description of Scale Methods |
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| You Peibo , Wu Liqiang , Song Shiqi , Wei Kuangmin , Lu Chuanyin. Fractal Description of Scale Methods[J]. Journal of China Three Gorges University(Natural Sciences), 2013, 35(4): 37-39 |
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| Authors: | You Peibo Wu Liqiang Song Shiqi Wei Kuangmin Lu Chuanyin |
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| Affiliation: | 2,3(1.Department of Traffic Engineering,Henan Univ.of Urban Construction,Pingdingshan 467036,China;2.State Key Laboratory of Hydrology-Water Resources & Hydraulic Engineering,Hohai Univ.,Nanjing 210098,China;3.Institute of Hydraulic Structures,Hohai Univ.,Nanjing 210098,China) |
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| Abstract: | It is theoretically proved that the Talbot grading curve is consistent with the fractal theory. On this basis, the four scale methods can be explained by fractal theory. Firstly, scale methods were theoretically an- alyzed. Exclusion method and similar gradation method are both fractal gradings~ and the fractal dimensions are the same. The two scale methods are essentially the same. In equivalent substitution method and mixed method, the fractal dimensions are changed~ but they are consistent with the modified fractal formula. |
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| Keywords: | coarse-grained material scale method fractal theory earth-rock dam |
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