基于耦合时域的数值流形法岩石边坡动态稳定性分析

doi:10.13722/j.cnki.jrme.2021.0593

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摘要提出一种基于时间域耦合时间积分算法的数值流形法，以提高原有算法的计算效率。此算法包括耦合显式–隐式时间积分方案，相位转换准则及接触准则。为验证所提算法，对一个地震激励作用下沿倾斜边坡滑移的块体运动和简谐激励下单个块体的摇摆响应进行数值模拟。同时，将开发的算法应用到一个露天矿边坡的动态稳定性分析当中，数值分析结果和现场观测结果是一致的，但新的耦合算法比传统的隐式算法的计算效率提高了5.67倍，此算法可高效地应用于大型岩土工程问题的模拟。

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	屈小磊1
	陈杰2
	汤浩2
	董如意2
	戚承志1

关键词 ：边坡工程, 岩石边坡, 数值流形法, 时间积分, 时间域, 稳定性分析

Abstract：This paper proposed a temporal coupled explicit-implicit time integration algorithm to improve the computational efficiency of the numerical manifold method(NMM) for seismic stability analysis of rock slopes. The algorithm includes a coupled time integration scheme，a phase transfer criterion and an associated contact criterion. To calibrate the proposed algorithm，a block sliding along a slope under seismic excitation and a block rocking under half-sine pulse shaking were simulated. The algorithm was also applied to analyze the dynamic stability of an open-pit mine slope excited by the input earthquake wave. The simulated results by the algorithm are in good agreement with those obtained by the traditional NMM，whereas the computational efficiency of the former is improved significantly to 5.67 times more than that of the latter. The proposed coupled time integration algorithm has the potential to be applied to larger engineering problems.

Key words： slope engineering rock slopes numerical manifold method time integration temporal domain stability analysis

引用本文:

屈小磊1，陈杰2，汤浩2，董如意2，戚承志1. 基于耦合时域的数值流形法岩石边坡动态稳定性分析[J]. 岩石力学与工程学报, 2022, 41(1): 82-92.
QU Xiaolei1，CHEN Jie2，TANG Hao2，DONG Ruyi2，QI Chengzhi1. Rock slope dynamic stability analysis based on coupling temporal domain numerical manifold method. , 2022, 41(1): 82-92.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2021.0593 或 http://rockmech.whrsm.ac.cn/CN/Y2022/V41/I1/82

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