›› 2018, Vol. 39 ›› Issue (1): 331-338.doi: 10.16285/j.rsm.2016.0141

• 数值分析 • 上一篇    下一篇

边坡稳定性分析双折减法的几个问题

朱彦鹏1, 2,杨晓宇1, 2,马孝瑞1, 2,杨校辉1, 2,叶帅华1, 2   

  1. 1. 兰州理工大学 土木工程学院,甘肃 兰州 730050;2. 兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,甘肃 兰州 730050
  • 收稿日期:2016-01-20 出版日期:2018-01-10 发布日期:2018-06-06
  • 作者简介:朱彦鹏,男,1960年生,硕士,教授,博士生导师,主要从事支挡结构、地基处理和工程事故处理与分析等方面的研究工作。
  • 基金资助:

    教育部长江学者创新团队支持计划(No.IRT_17R51);甘肃省科技重大专项计划(No. 1302FKDA030);国家自然科学基金(No. 51508256);甘肃省建设科技攻关项目(No. JK2015-5);兰州市科技计划项目(No. 2015-3-131)。

Several questions of double reduction method for slope stability analysis

ZHU Yan-peng1, 2, YANG Xiao-yu1, 2, MA Xiao-rui1, 2, YANG Xiao-hui1, 2, YE Shuai-hua1, 2   

  1. 1. College of Civil Engineering, Lanzhou University of Technology, Lanzhou, Gansu 730050, China; 2. Western Center of Disaster Mitigation in Civil Engineering, Ministry of Education, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
  • Received:2016-01-20 Online:2018-01-10 Published:2018-06-06
  • Supported by:

    This work was supported by the Yangtze River Scholar Innovation Team Support Program of Ministry of Education of China (2013IRT13068), the Major Projects of Science and Technology Plan Projects of Gansu Province (1302FKDA030), the National Natural Science Foundation of China (51508256), the Construction of Science and Technology Research Projects of Gansu Province (JK2015-5) and the Science and Technology Plan Projects of Lanzhou (2015-3-131).

摘要: 在强度参数坐标系中,借助强度储备面积的概念,推导出双折减法的边坡安全系数表达式,其具有理论支持,且与已有的关系式相比未产生较大的偏差,意义更明确。在基于折减比K实现的双强度折减法中,相同的K值,采用不同的数学表达式,将产生不同的折减起步方式,由此出现了不同的虚拟初始点。严格意义上讲,两种方式折减路径确有不同,但结果表明,虚拟初始点的不同所导致的2种折减路径,本质上具有统一性,不会对结果产生影响,建议选取较短的路径,可以减少折减次数;双折减法由于在路径上与传统折减法有所区别,而仅与传统强度折减法计算结果进行偏差分析,难免出现结果失真。围绕强度弱化的本质,提出2个判断标准,一是应满足数值精度的要求,另一个则是必须符合客观事实,即强度折减必须体表现出强度弱化的概念。

关键词: 边坡稳定性分析, 有限元强度折减法, 双折减法, 安全系数关系式, 双折减法适用范围

Abstract: In the coordinate system of strength parameters, utilizing the concept of strength reserve area can deduce the FOS expression of double reduction method (DRM), which is more rational than several existing expressions, and the results do not have enormous deviations from results of existing expressions. In this new method, for the same K, adopting different mathematical expressions gets different virtual initial points. There are two approaches that are based on the ratio of reduction. The first approach only adjusts tan?, and the other only adjusts friction. In theory, these two reduction paths are different. However, this research shows that the difference has no influence on results of DRM, and selecting the shortest reduction path can reduce calculation time. The reduction strategy of traditional strength reduction method (SRM) is different from double reduction method. In DRM result, the critical friction and cohesion appear in such a way that critical friction is over initial friction, or critical cohesion is over initial cohesion, which is not reasonable. By analyzing DRM calculation results given various K, and focusing on the essence of strength reduction method to get two types of results. The first type result is the result that has to conform to calculation accuracy, and the other result is that the result has to align with the fact that critical points must embody the phenomenon of parameters of the weakening.

Key words: slope stability analysis, finite element strength reduction method, double reduction method (DRM), expression of safety factor, DRM applicable scope

中图分类号: 

  • TU 432

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