| 沙丘背风坡的静力稳定性分析 |
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| 引用本文： | 王建成,武生智,马崇武,慕青松.沙丘背风坡的静力稳定性分析[J].中国沙漠,2001,21(Z1):84-86. |
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| 作者姓名： | 王建成 武生智 马崇武 慕青松 |
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| 作者单位： | 1. 兰州大学物理科学与技术学院力学系, 甘肃兰州 730000;2. 中国科学院寒区旱区环境与工程研究所沙坡头沙漠试验研究站, 甘肃兰州 730000 |
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| 基金项目： | 中国科学院沙坡头沙漠试验站开放基金(200013);甘肃省中青年科技基金(YS991-A25-003)资助 |
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| 摘 要： | 将沙丘背风坡的稳定性问题等价于一个双参变量函数的待定边界的泛函极值问题。利用变分原理得到相应的欧拉方程和横截性条件,在考虑边界条件后,确定了沙丘背风坡滑移面的形状函数及相应的安全系数;同时研究了沙丘的宽度效应,成功地给出了沙丘背风面落沙坡形成新月形形状的力学原因。
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| 关 键 词： | 沙丘背风坡 稳定性分析 变分法 |
| 文章编号： | 1000-694X(2001)增-0084-03 |
| 收稿时间： | 2000-11-05 |
| 修稿时间： | 2000年11月5日 |
Stability Analysis on the Lee Slope of Dune |
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| WANG Jian-cheng,WU Sheng-zhi,MA Chong-wu,MU Qing-song.Stability Analysis on the Lee Slope of Dune[J].Journal of Desert Research,2001,21(Z1):84-86. |
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| Authors: | WANG Jian-cheng WU Sheng-zhi MA Chong-wu MU Qing-song |
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| Institution: | 1. Department of Mechanics, School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China;2. Shapotou Desert Research and Experiment Station, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou 730000, China |
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| Abstract: | The problem of the lee slope stability of dune is equivalent to the extremal problem of a functional of two-variant function with a variable boundary in this paper. Through the application of Euler's equations and transversal conditions that obtained by using the Variational Principle, the shape function and the relative safety coefficient of the dune's lee slope are determined after consideration of boundary conditions. The width effects of dune are studied and the reason that the barchan dune is formed on the lee slope of dune is given. |
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| Keywords: | lee slope of dune stability analysis variational method |
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