基于最大熵原理的土工膜与垫层颗粒间接触力随机状态分析

姜晓桢; 束一鸣

doi:10.11779/CJGE2016S1009

基于最大熵原理的土工膜与垫层颗粒间接触力随机状态分析 English Version

姜晓桢¹,
束一鸣²

1. 南京水利科学研究院岩土工程研究所,江苏南京 210024;
2.河海大学水利水电学院,江苏南京 210098

基金项目: 国家自然科学基金项目（51379069）; 中央级公益性科研院所基本科研业务费专项资金项目（15Y315014）

详细信息

作者简介:
姜晓桢(1985- ),男,博士,主要从事土工合成材料工程应用等方面的工作。E-mail: xzjiang@nhri.cn。

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- 文章访问数: 279
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出版历程
- 收稿日期: 2015-11-29
- 发布日期: 2016-03-24

Stochastic analysis of contact force between geomembrane and particle underlayer based on principle of maximum entropy

JIANG Xiao-zhen¹,
SHU Yi-ming²

1. Department of Geotechnical Engineering, Nanjing Hydraulic Research Institute, Nanjing 210024, China;
2. College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

摘要

摘要: 土石坝坝面防渗土工膜与其下的垫层颗粒间接触状态存在较大的随机性和无序性,一直是定量分析土石坝面膜防渗结构可靠性的一个难点。基于最大熵原理对土工膜与垫层颗粒之间接触力随机状态进行了分析演绎,提出了一种研究不同垫层颗粒状态（粒径级配、尖锐程度等）、不同压力条件下土工膜与垫层颗粒间接触力大小分布的数学方法,利用该方法分别从理论上推导出了土工膜与均一圆球颗粒垫层之间接触力大小概率密度分布函数以及土工膜与级配圆球颗粒垫层之间的接触力大小概率密度分布函数,理论推导表明在垫层颗粒随机排布的条件下,土工膜与垫层颗粒间接触力大小分布满足以压力和单位面积接触点数为参数的指数分布规律,最后通过室内试验,利用压敏纸测量了上述两种垫层颗粒与土工膜之间的接触力大小,统计每个接触点上接触力后发现与理论推导的结果基本一致。
- 土工膜 /
- 垫层颗粒 /
- 接触力 /
- 随机分析
Abstract: In order to quantitatively analyze the reliability of geomembrane surface barrier on rockfill dam, a stochastic method based on the principle of the maximum entropy is employed to analyze the random contact between geomembrane and particle underlayer. The distribution of contact force between geomembrane and particle underlayers with different particle sizes and sharpnesses under different pressures can be obtained theoretically using this method. Two simple cases are also given to show the detailed process of mathematical derivation of this method. The distribution of contact force is exponential according to the proposed method, and the particle size and pressure are the most two important factors to affect the distribution of contact force. The proposed method is then verified by a series of laboratory experiments using the pressure-sensitive film, and it is a reliable tool to measure the contact force at each contact point. The results show that the distribution of contact force from the proposed method is in good agreement with the test data.
- geomembrane /
- particle underlayer /
- contact force /
- stochastic analysis

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参考文献(13)

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文章访问数: 279
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基于最大熵原理的土工膜与垫层颗粒间接触力随机状态分析 English Version

作者简介: 姜晓桢(1985- ),男,博士,主要从事土工合成材料工程应用等方面的工作。E-mail: xzjiang@nhri.cn。

计量

出版历程

Stochastic analysis of contact force between geomembrane and particle underlayer based on principle of maximum entropy

计量

出版历程

目录

作者简介:
姜晓桢(1985- ),男,博士,主要从事土工合成材料工程应用等方面的工作。E-mail: xzjiang@nhri.cn。