| 突变理论在边坡工程应用的研究进展 |
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| 基金项目： | Project supported by the Key Scientific Research Project Funds of Shaanxi Provincial Key Laboratory in Colleges and Universities “ The seismic wave field study of TSP method ” (No: 2010JS085) |
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| 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。
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The Application and Research Progress of Catastrophe Theory in Slope Engineering |
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| Authors: | Fan Liuming Geng Pengchao |
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| Institution: | 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 |
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| 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. |
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| Keywords: | Catastrophe theory Stability analysis Landslide time forecast Slope engineering Stability estimation |
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