| 基于无网格-图论方法的岩体边坡稳定性分析研究 |
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| 引用本文： | 庄晓莹,蔡永昌,朱合华,周丁恒.基于无网格-图论方法的岩体边坡稳定性分析研究[J].上海力学,2008,29(4). |
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| 作者姓名： | 庄晓莹 蔡永昌 朱合华 周丁恒 |
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| 作者单位： | 同济大学,地下建筑与工程系,上海,200092;同济大学,岩土及地下工程教育部重点实验室,上海,200092;同济大学,地下建筑与工程系,上海,200092 |
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| 基金项目： | 国家自然科学基金委员会、二滩水电开发有限责任公司雅砻江水电开发联合研究基金项目
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上海市重点学科建设项目
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| 摘 要： | 将无网格伽辽金法应用于岩体边坡稳定性分析,发展了基于无网格模型和有向加权图Bellman-Ford最短路径搜索算法相结合的无网格-图论边坡滑移面搜索方法,以搜寻节理岩体边坡失稳时的临界滑移面并得出其相应的安全系数.区别于传统的滑移面搜索算法,本文方法无需假定滑移面形状,更适用于具有复杂滑移线形状的节理岩体边坡的稳定性分析与计算,具有稳定和高效的算法特点.文中详细论述了无网格-图论最短路径算法的理论、方法和程序实现,并通过算例说明该方法在岩体边坡稳定性分析中的适用性.
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| 关 键 词： | 岩体边坡 滑移面 无网格法 图论 Bellman-Ford最短路径算法 有向加权图 |
Rock Slope Stability Analysis Based on Meshless Method and Shortest Path Algorithm |
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| ZHUANG Xiao-ying,CAI Yong-chang,ZHU He-hua,ZHOU Ding-heng.Rock Slope Stability Analysis Based on Meshless Method and Shortest Path Algorithm[J].Chinese Quarterly Mechanics,2008,29(4). |
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| Authors: | ZHUANG Xiao-ying CAI Yong-chang ZHU He-hua ZHOU Ding-heng |
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| Institution: | 1.Department of Geotechnical Engineering;Tongji University;Shanghai 200092;China;2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education;China |
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| Abstract: | A jointed rock slope stability analysis method was developed based on Element-free Galerkin method and Bellman-Ford shortest path algorithm.A weighted directed diagraph was constructed by interpreting the meshless model to graph model.The shortest path propagating from the source to end in diagraph was obtained,which represents the critical slip with the minimum safety factor.The major difference between those kinds of conventional searching methods and the presented method is that the latter does not assum... |
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| Keywords: | rock slope sliding surface meshless method graph theory Bellman-Ford shortest path algorithm weighted directed diagraph |
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