地震作用下坠落式危岩稳定性分析
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摘要
构建了地震作用下厚层水平岩体中坠落式危岩块体的震动模型,并基于结构动力学和断裂力学,分别建立了危岩块体水平震动和竖向震动时危岩块体的位移、加速度与惯性力和主控结构面联合应力强度因子的计算方法。从能量的角度出发,获得了危岩块震动过程中危岩主控结构面扩展长度的计算方法,提出了危岩主控结构面的扩展判据,进而建立了考虑地震震动效应的危岩稳定系数计算方法。通过算例分析发现,危岩主控结构面对危岩体震动加速度的影响较大,考虑危岩主控结构面后危岩体的加速度峰值增加了55.56%;此外,将地震荷载视为动荷载,考虑了主控结构面在震动过程中的扩展长度的危岩稳定系数计算方法较传统的拟静力法更加安全,该方法可为地震区厚层水平岩体中坠落式危岩的防治工程设计提供理论依据。
This paper has constructed a falling perilous rock's vibration model.Then,based on the structural dynamics and fracture mechanics,the calculation methods were established for perilous rock's displacement,acceleration,inertia force and dominate fissure's combined stress strength factor for horizontal direction earthquake and vertical direction earthquake separately.From view point of energy,the calculation methods for the propagation length of dominate fissure were obtained,a criteria for dominate fissure's propagation was put forward and the stability coefficient calculation methods for perilous rock triggered by earthquake were established.Through an example,it is found that the dominant fissure has great influence on the perilous rock's acceleration.The perilous rock's acceleration should be increased by 55.56% with considering the dominant fissure.The stability coefficient calculated by the method with regarding the earthquake load as dynamic one,was more secure than the result calculated by the method with regarding the earthquake load as static load.This method could provide theoretical basis for design the falling perilous rock's control engineering in earthquake region.
This paper has constructed a falling perilous rock's vibration model.Then,based on the structural dynamics and fracture mechanics,the calculation methods were established for perilous rock's displacement,acceleration,inertia force and dominate fissure's combined stress strength factor for horizontal direction earthquake and vertical direction earthquake separately.From view point of energy,the calculation methods for the propagation length of dominate fissure were obtained,a criteria for dominate fissure's propagation was put forward and the stability coefficient calculation methods for perilous rock triggered by earthquake were established.Through an example,it is found that the dominant fissure has great influence on the perilous rock's acceleration.The perilous rock's acceleration should be increased by 55.56% with considering the dominant fissure.The stability coefficient calculated by the method with regarding the earthquake load as dynamic one,was more secure than the result calculated by the method with regarding the earthquake load as static load.This method could provide theoretical basis for design the falling perilous rock's control engineering in earthquake region.
引文
[1]陈洪凯,鲜学福,唐红梅.危岩稳定性断裂力学计算方法[J].重庆大学学报,2009,32(4):434-437.(Chen Hongkai,Xian Xuefu,Tang Hongmei.Stability analysis method for perilous rock by fracture mechanics[J].Journal of Chongqing University,2009,32(4):434-437.(in Chinese))
[2]Chen Hongkai,Tang Hongmei,Ye Siqiao.Damage model of control fissure in perilous rock[J].Applied Mathematics and Mechanics,2006,27(3):967-974.
[3]唐红梅,王林峰,陈洪凯,等.软弱基座陡崖危岩崩落序列[J].岩土工程学报,2010,32(2):205-210.(Tang Hongmei,Wang Linfeng,Chen Hongkai.Collapse sequence of perilous rock on cliffs with soft foundation[J].Chinese Journal of Geotechnical Engineering,2010,32(2):205-210.(in Chinese))
[4]陈洪凯,唐红梅,王林峰,等.缓倾角岩质陡坡后退演化的力学机制[J].岩土工程学报,2010,32(3):468-473.(Chen Hongkai,Tang Hongmei,Wang Linfeng,et al.Mechanical mechanism for retreat evolution of steep rock slopes with gentle dip[J].Chinese Journal of Geotechnical Engineering,2010,32(3):468-473.(in Chinese))
[5]陈洪凯,唐红梅,王蓉.三峡库区危岩稳定性计算方法及应用[J].岩石力学与工程学报,2004,23(4):614-619.(Chen Hongkai,Tang Hongmei,Wang Rong.Calculation method of stability for unstable rock and application to the three Gorges Reservior[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):614-619.(in Chinese))
[6]郑颖人,叶海林,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.(Zheng Yingren,Ye Hailin,Huang Runqiu.Analysis and discussion of failure mechanism and fracture surface of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(8):1714-1723.(in Chinese))
[7]何铮,徐卫亚,石崇,等.顺层岩质高边坡地震变形破坏机制三维数值反演研究[J].岩土力学,2009,30(11):3512-3518.(He Zheng,Xu Weiya,Shi Chong,et al.3D dynamic response back analysis of failure mechanisms of a high dip bedding rock slope in earthquake[J].Rock and Soi1Mechanics,2009,30(11):3512-3518.(in Chinese))
[8]刘贵应,梁庆国,韩文峰.地震动特征对岩体边坡动力响应的影响[J].地下空间与工程学报,2012,8(1):205-211.(Liu Guiying,Liang Qingguo,Han Wenfeng.Influence of ground motion parameters on dynamic responses of rock slope[J].Chinese Journal of Underground Space and Engineering.2012,8(1):205-211.(in Chinese))
[9]何思明,吴永,李新坡.地震诱发岩体崩塌的力学机制[J].岩石力学与工程学报,2010,29(增1):3359-3363.(He Siming,Wu Yong,Li Xinpo.Collapse mechanism of danger rock triggered by earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.1):3359-3363.(in Chinese))
[10]黄润秋.汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J].岩石力学与工程学报,2009,28(8):1239-1248.(Huang Runqiu.Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0 earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(6):1239-1248.(in Chinese))
[11]杨国香,伍法权,董金玉,等.地震作用下岩质边坡动力响应特性及变形破坏机制研究[J].岩石力学与工程学报,2012,31(4):696-702.(Yang Guoxinag,Wu Faquan,Dong Jinyu,et al.Study on dynamic response characters and failure mechanism of rock slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(4):696-702.(in Chinese))
[12]陈洪凯,唐红梅,王林峰,等.危岩崩塌演化理论及应用[M].北京:科学出版社,2009.(Chen Hongkai,Tang Hongmei,Wang Linfeng,et al.Perilous rock collapse’s evolution theory and application[M].Beijing:Science Press,2009.(in Chinese))
[13]中国航空研究院.应力强度因子手册[M].北京:科学出版社,1981.(Aviation academe of China.Stress intension gene of handbook[M].Beijing:Science Press,1981.(in Chinese))
[2]Chen Hongkai,Tang Hongmei,Ye Siqiao.Damage model of control fissure in perilous rock[J].Applied Mathematics and Mechanics,2006,27(3):967-974.
[3]唐红梅,王林峰,陈洪凯,等.软弱基座陡崖危岩崩落序列[J].岩土工程学报,2010,32(2):205-210.(Tang Hongmei,Wang Linfeng,Chen Hongkai.Collapse sequence of perilous rock on cliffs with soft foundation[J].Chinese Journal of Geotechnical Engineering,2010,32(2):205-210.(in Chinese))
[4]陈洪凯,唐红梅,王林峰,等.缓倾角岩质陡坡后退演化的力学机制[J].岩土工程学报,2010,32(3):468-473.(Chen Hongkai,Tang Hongmei,Wang Linfeng,et al.Mechanical mechanism for retreat evolution of steep rock slopes with gentle dip[J].Chinese Journal of Geotechnical Engineering,2010,32(3):468-473.(in Chinese))
[5]陈洪凯,唐红梅,王蓉.三峡库区危岩稳定性计算方法及应用[J].岩石力学与工程学报,2004,23(4):614-619.(Chen Hongkai,Tang Hongmei,Wang Rong.Calculation method of stability for unstable rock and application to the three Gorges Reservior[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(4):614-619.(in Chinese))
[6]郑颖人,叶海林,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.(Zheng Yingren,Ye Hailin,Huang Runqiu.Analysis and discussion of failure mechanism and fracture surface of slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(8):1714-1723.(in Chinese))
[7]何铮,徐卫亚,石崇,等.顺层岩质高边坡地震变形破坏机制三维数值反演研究[J].岩土力学,2009,30(11):3512-3518.(He Zheng,Xu Weiya,Shi Chong,et al.3D dynamic response back analysis of failure mechanisms of a high dip bedding rock slope in earthquake[J].Rock and Soi1Mechanics,2009,30(11):3512-3518.(in Chinese))
[8]刘贵应,梁庆国,韩文峰.地震动特征对岩体边坡动力响应的影响[J].地下空间与工程学报,2012,8(1):205-211.(Liu Guiying,Liang Qingguo,Han Wenfeng.Influence of ground motion parameters on dynamic responses of rock slope[J].Chinese Journal of Underground Space and Engineering.2012,8(1):205-211.(in Chinese))
[9]何思明,吴永,李新坡.地震诱发岩体崩塌的力学机制[J].岩石力学与工程学报,2010,29(增1):3359-3363.(He Siming,Wu Yong,Li Xinpo.Collapse mechanism of danger rock triggered by earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.1):3359-3363.(in Chinese))
[10]黄润秋.汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J].岩石力学与工程学报,2009,28(8):1239-1248.(Huang Runqiu.Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0 earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(6):1239-1248.(in Chinese))
[11]杨国香,伍法权,董金玉,等.地震作用下岩质边坡动力响应特性及变形破坏机制研究[J].岩石力学与工程学报,2012,31(4):696-702.(Yang Guoxinag,Wu Faquan,Dong Jinyu,et al.Study on dynamic response characters and failure mechanism of rock slope under earthquake[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(4):696-702.(in Chinese))
[12]陈洪凯,唐红梅,王林峰,等.危岩崩塌演化理论及应用[M].北京:科学出版社,2009.(Chen Hongkai,Tang Hongmei,Wang Linfeng,et al.Perilous rock collapse’s evolution theory and application[M].Beijing:Science Press,2009.(in Chinese))
[13]中国航空研究院.应力强度因子手册[M].北京:科学出版社,1981.(Aviation academe of China.Stress intension gene of handbook[M].Beijing:Science Press,1981.(in Chinese))
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