数值流形方法中的锚固支护模拟及初步应用
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摘要
针对岩土工程中的锚固支护,研究了数值流形方法中锚固支护模拟问题。在原数值流形方法源程序基础上开发了锚固支护模块,并用算例验证了其合理性。运用该方法对某层状结构岩体中的地下洞室围岩开挖变形问题进行了研究。结果表明,数值流形法在层状结构岩体地下洞室开挖时,能反映围岩中软弱层面两侧岩体的不连续错动特征;锚固支护后,围岩位移分布趋向均匀,位移量有所减少,软弱层面两侧岩体的非连续错动变形量减小效果显著。
According to the rock reinforcement in geotechnical engineering,the study on rock anchorage simulation by numerical manifold method(NMM) has been conducted;and the corresponding numerical simulation blocks have been compiled on the basis of the original code.Two examples are used to validate the correctness of the newly developed model.Based on the works accomplished above,the excavation of an underground opening with laminated surrounding rock mass is simulated by NMM;and the deformation characteristics are analyzed.The results show that the displacements on the two sides of the weak planes in the upper part of the surrounding walls behave discontinuously,which are reasonable compared to the actual situation.When the surrounding rock is reinforcedi,ts displacement tends to be more uniforma,nd decreases to some extend.On the two sides of the weak plane the discontinuous deformation of the surrounding rock decreases more distinctly.
According to the rock reinforcement in geotechnical engineering,the study on rock anchorage simulation by numerical manifold method(NMM) has been conducted;and the corresponding numerical simulation blocks have been compiled on the basis of the original code.Two examples are used to validate the correctness of the newly developed model.Based on the works accomplished above,the excavation of an underground opening with laminated surrounding rock mass is simulated by NMM;and the deformation characteristics are analyzed.The results show that the displacements on the two sides of the weak planes in the upper part of the surrounding walls behave discontinuously,which are reasonable compared to the actual situation.When the surrounding rock is reinforcedi,ts displacement tends to be more uniforma,nd decreases to some extend.On the two sides of the weak plane the discontinuous deformation of the surrounding rock decreases more distinctly.
引文
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[11]邬爱清,任放,董学晟.DDA数值模型及其在岩体工程上的初步应用研究[J].岩石力学与工程学报,1997,16(5):411–417.(Wu Aiqing,Ren Fang,Dong Xuecheng.A study on the numerical model of DDA and its preliminary application to rock engineering[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(5):411–417.(in Chinese))
[2]Lu M.High order manifold method with simplex integration[A].In:Hatzor Y H ed.Proceedings of the 5th International Conference on Analysis of Discontinuous Deformation[C].Rotterdam:A.A.Balkema,2002.36–39.
[3]宋俊生,大西有三.高阶四边形单元的流形方法[J].岩石力学与工程学报,2003,22(6):932–936.(Song Junsheng,Ohnishi Yuzo.High order rectangular element of manifold method[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(6):932–936.(in Chinese))
[4]王书法,朱维申,李术才,等.岩体弹塑性分析的数值流形方法[J].岩石力学与工程学报,2002,21(6):900–904.(Wang Shufa,Zhu Weishen,Li Shucai,et al.Numerical manifold method of elastoplastic analysis for rock mass[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(6):900–904.(in Chinese))
[5]王芝银,李云鹏.数值流形方法中的几点改进[J].岩土工程学报,1998,20(6):33–36.(Wang Zhiyin,Li Yunpeng.Some improvements in the numerical manifold method[J].Chinese Journal of Geotechnical Engineering,1998,20(6):33–36.(in Chinese))
[6]王水林,葛修润.流形元方法在模拟裂纹扩展中的应用[J].岩石力学与工程学报,1997,16(5):405–410.(Wang Shuilin,Ge Xiurun.Application of manifold method to simulation of crack propagation[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(5):405–410.(in Chinese))
[7]周维垣,杨若琼,剡公瑞.流形元法及其在工程中的应用[J].岩石力学与工程学报,1996,15(3):193–200.(Zhou Weiyuan,Yang Ruoqiong,Yan Gongrui.Manifold method and its application to engineering problems[J].Chinese Journal of Rock Mechanics and Engineering,1996,15(3):193–200.(in Chinese))
[8]王书法,朱维申,李术才,等.加锚岩体变形分析的数值流形方法[J].岩石力学与工程学报,2002,21(8):1 120–1 123.(Wang Shufa,Zhu Weishen,Li Shucai,et al.Numerical manifold method of deformation analysis for bolt-support rockmass[J].Chinese Journal of Rock Mechanics and Engineering,2002,21(8):1 120–1 123.(in Chinese))
[9]张国新,金峰,王光纶.用基于流形元的子域奇异边界元法模拟重力坝的地震破坏[J].工程力学,2001,18(4):18–27.(Zhang Guoxin,Jin Feng,Wang Guanglun.Seismic failure simulation of gravity dam by manifold based singular boundary element method[J].Engineering Mechanics,2001,18(4):18–27.(in Chinese))
[10]曹文贵,速宝玉.流形元覆盖系统自动形成方法之研究[J].岩土工程学报,2001,23(2):187–190.(Cao Wengui,Su Baoyu.A study on techniques of automatically forming of cover system of numerical manifold method[J].Chinese Journal of Geotechnical Engineering,2001,23(2):187–190.(in Chinese))
[11]邬爱清,任放,董学晟.DDA数值模型及其在岩体工程上的初步应用研究[J].岩石力学与工程学报,1997,16(5):411–417.(Wu Aiqing,Ren Fang,Dong Xuecheng.A study on the numerical model of DDA and its preliminary application to rock engineering[J].Chinese Journal of Rock Mechanics and Engineering,1997,16(5):411–417.(in Chinese))
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