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基于数值差分法的边坡可靠度分析模型 被引量:1

Slope Reliability Analysis Model Based on Numerical Difference
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摘要 通过研究Janbu模式边坡稳定的力学分析过程和特点,归纳了其安全系数的计算流程,指出了Janbu模式下边坡稳定可靠度计算存在的问题。由此引入差分法,依据复合函数求导原理,推导了采用验算点方法求解Janbu模式下边坡稳定可靠度过程中各项偏导数的计算公式和可靠度指标的线性逼近循环迭代方法,并研发了一种基于数值差分的极限平衡模式下的新型可靠度近似计算方法。最后对某公路边坡的稳定可靠度进行分析,并与响应面法及蒙特卡洛法结果进行了对比。研究表明所提出的方法简便、精度,能满足工程要求,具有较好的工程实用价值。 The process and characteristics of mechanical analysis on slope stability under Janbu mode are analyzed, and the calculation process of the safety coefficient is summarized. Then, some problems of reliability calculation of slope stability under Janbu mode is pointed out. Thus, by introducing the difference method, based on the composite function derivation principle, the linear approximation iterative method for solving the reliability indexes and the calculation formula of partial derivatives in the process of the reliability calculation of slope stability under the Janbu mode are derived by adopting the method of checking points. Besides, a new approximate calculation method of reliability based on numerical difference under the limit balanced mode is developed. Finally, the reliability of a highway slope stability is analyzed, and the results are compared with that obtained by the response surface method and the Monte Carlo method. The result demonstrates that the proposed method, which can meet the engineering requirements, is simple and accurate. Thus it has a good practical value for engineering.
出处 《公路交通科技》 CAS CSCD 北大核心 2013年第1期33-38,共6页 Journal of Highway and Transportation Research and Development
基金 交通运输部"两型"社会科技示范工程攻关项目(CXKJSF0201) 交通运输部西部交通建设科技项目(2011318785760 200831878542) 湖南省交通科技项目(200919)
关键词 道路工程 边坡可靠度 数值差分 验算点方法 Janbu模式 road engineering slope reliability numerical difference method of checking point Janbu mode
作者简介 李志勇(1965-),男,湖南祁东人,研究员级高工,博士.(hnjtlzy@yahoo.com.cn)
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