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地球科学进展  2015, Vol. 30 Issue (11): 1268-1277    DOI: 10.11867/j.issn.1001-8166.2015.11.1268
新技术     
突变理论在边坡工程应用的研究进展
范留明1, 2, 耿鹏超1
1. 西安理工大学土木建筑工程学院,陕西 西安 710048;
2. 陕西省黄土力学与工程重点实验室,陕西 西安 710048
The Application and Research Progress of Catastrophe Theory in Slope Engineering
Fan Liuming1, 2, Geng Pengchao1
1. School of Civil Engineering and Architecture, Xi 'an University of Technology, Xi 'an 710048, China;
2. Shaanxi Provincial Key Laboratory of Loess Mechanics and Engineering, Xi 'an 710048, China
 全文: PDF(1590 KB)  
摘要: 突变理论是非线性科学领域中的一个重要分支,作为一种数学工具已经在众多领域得到广泛应用,在边坡工程中的应用尤为活跃。首先简述了突变理论的发展概况和基本原理,然后分别从3个方面详细论述了突变理论在边坡工程应用中的研究进展,即基于尖点突变法的边(斜)坡稳定性分析、基于突变级数法的边(斜)坡稳定性评价和基于灰色理论、模糊数学的尖点突变预测模型对滑坡时间预报,重点讨论了相应的理论模型、应用方法和实际效果,最后结合目前存在的问题探讨突变理论在边坡工程的发展趋势。
关键词: 稳定性分析突变理论边坡工程稳定性评价滑坡时间预报    
Abstract: Catastrophe theory is an important branch in the field of nonlinear science. As a mathematical tool, it is widely used in many fields, especially in the slope engineering. Firstly the development history and basic principle of catastrophe theory are briefly described in this paper, and then from three aspects the application and research progress of catastrophe theory in slope engineering are discussed, including the stability analysis of the slope based on cusp catastrophe method, the slope stability estimation based on catastrophe progression method and the cusp catastrophe prediction model for landslide time forecast based on gray theory and fuzzy mathematics. This paper focuses on the corresponding theoretical model, application method and effect, and discusses the development trend of catastrophe theory in slope engineering according to current problems in the end.
Key words: Catastrophe theory    Stability analysis    Landslide time forecast.    Slope engineering    Stability estimation
收稿日期: 2015-08-08 出版日期: 2015-11-20
:  P642.2  
基金资助: 陕西省高校省级重点实验室重点科研计划基金项目“隧道超前地质预报TSP法的地震波场研究”(编号:2010JS085)资助
作者简介: 范留明(1968-),男,河南焦作人,教授,主要从事地震工程、非线性科学领域研究.E-mail: fanliuming@xaut.edu.com
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引用本文:

范留明, 耿鹏超. 突变理论在边坡工程应用的研究进展[J]. 地球科学进展, 2015, 30(11): 1268-1277.

Fan Liuming, Geng Pengchao. The Application and Research Progress of Catastrophe Theory in Slope Engineering. Advances in Earth Science, 2015, 30(11): 1268-1277.

链接本文:

http://www.adearth.ac.cn/CN/10.11867/j.issn.1001-8166.2015.11.1268        http://www.adearth.ac.cn/CN/Y2015/V30/I11/1268

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