云冈石窟的地震动力响应研究
|
摘要
选取云冈石窟中的典型石窟作为研究对象,建立了三维的石窟计算模型,首先输入水平方向地震荷载,计算了石窟岩体的位移和应力分布情况。结果表明,石窟的立柱部分和入口处易产生较大位移;石窟周围,尤其是洞窟开挖的薄壁部位,容易形成压应力、拉应力和剪应力的集中区,是石窟围岩容易破坏的地方。再输入竖向和横向的地震荷载进行比较,结果表明,竖向地震荷载对石窟拉应力的影响较横向地震荷载更为显著,但竖向地震荷载产生的压应力值远较横向地震荷载的为小;而横向地震荷载比竖向地震荷载更容易引起最大剪应力集中,即更容易导致石窟的破坏。
This paper develops a 3-D finite element model of Yungang Grottoes and conducts nonlinear time history analysis considering the combination of horizontal and vertical earthquake motions.Distribution of stress and displacement of the Grottos rockmass was calculated.The results show that larger displacement appears in the pillar and entrance of grottoes,tension,shear and compression stresses concentrate in the grottoes,especially around thin-walled position.Then,comparing the input of vertical and horizontal seismic loads,the influence of vertical seismic load on tensile stress is more significant,the compression stress from vertical seismic load is substantially smaller than that from horizontal seismic load,but the horizontal seismic load is more likely to cause shear stress concentration and more easier to cause destruction the of grottoes.
This paper develops a 3-D finite element model of Yungang Grottoes and conducts nonlinear time history analysis considering the combination of horizontal and vertical earthquake motions.Distribution of stress and displacement of the Grottos rockmass was calculated.The results show that larger displacement appears in the pillar and entrance of grottoes,tension,shear and compression stresses concentrate in the grottoes,especially around thin-walled position.Then,comparing the input of vertical and horizontal seismic loads,the influence of vertical seismic load on tensile stress is more significant,the compression stress from vertical seismic load is substantially smaller than that from horizontal seismic load,but the horizontal seismic load is more likely to cause shear stress concentration and more easier to cause destruction the of grottoes.
引文
[1]杨晓杰,彭涛,李桂刚等,云冈石窟立柱岩体长期强度研究[J],岩石力学与工程学报,2009,28(增2):3402～3408.Yang Xiaojie,Peng Tao,Li Guigang et al.Study on Long Term Strength of Pillar Rockmass at Yungang Grottoes.Chinese Journal of Rock Me-chanics and Engineering.2009,28(S2):3402～3408.
[2]石玉成,王旭东,秋仁东等,竖向地震荷载下人字批顶结构石窟的稳定性分析[J],世界地震工程,2009,25(4):148～152.Shi Yucheng,Wang Xu Dong,Qiu Rendong et al.Study on Seismic Stability of Grottoes with Gable Roof under Vertical Seismic Loads.WorldEartnquake Engineering.2009,25(4):148～152.
[3]石玉成,付长华,王兰民.石窟围岩地震变形破坏机制的数值模拟分析[J].岩土力学.2006,27(4):,543～548.Shi Yucheng,Fu Changhua,Wang Lanmin.Numerical Simulation Analysis of Mechanism of Seismic Deformation Damage of Country Rock of Grot-toes.Rock and Soil mechanics.2006,27(4):,543～548.
[4]秋仁东.石玉成.徐舜华等.预应力锚索加固石窟岩体的地震动力响应研究[J].西北地震学报,2007,29(1):49～53.Qiu Rendong,Shi Yucheng,Xu Shunhua et al.Study on Dynamical Response of Grotto Rock Reinforced by Prestress Anchor Cable under the Seis-mic Load.Northwestern Seismological Journal.2007,29(1):49～53.
[5]秋仁东,石玉成,付长华.高边坡在水平动荷载作用下的动力响应规律研究[J],世界地震工程,2007,23(2):131～138.Qiu Rendong,Shi Yucheng,Fu Changhua.General laws of dynamic responses of the high slopes under horizontal dynamic input.World Earth-quake Engineering.2007,23(2):131～138.
[6]韦凯,高峰,石玉成等.石窟地震反应分析[J].兰州交通大学学报(自然科学版),2005,24(6):46～49.Wei Kai,Gao Feng,Shi Yucheng,et al.Analysis of seismic responses of grottoes.Journal of Lanzhou Jiaotong University(Natural Science).2005,24(6):46～49.
[7]李最雄,中国石窟岩体病害治理技术[M].兰州大学出版社,2006.Li Zuixiong.Treatment of Hazards for Grotto Rock in China.Lanzhou university press.2006..
[8]仇转,刘巍,山西大同-阳高地震活动背景[J],山西地震,2005(2):1～10.Qiu zhuan,Liu Wei.Seismicity Background of Datong–Yanggao earthquake of Shanxi.Earthquake Research in Shanxi.2005(2):1～10.
[9]戴自航,沈蒲生.莫尔-库仑等面积圆屈服准则的简化形式及应用[J].福州大学学报(自然科学版),2003,31(4):455～459.Dai Zihang,Shen Pusheng.Simplified form and application of mohr-coulomb equivalent area circle yield criterion.Journal of Fuzhou University(Natural Science).2003,31(4):455～459.
[10]隋斌,朱维申,李晓静,地震荷载作用下大型地下洞室群的动态响应模拟[J],岩石工程学报,2008,30(12):1877～1882.Sui Bin,Zhu Weishen,Li Xiaojing.Simulation on dynamic response of large underground opening complex under seismic loads.Chinese Journal ofGeotechnical Engineering.2008,30(12):1877～1882.
[2]石玉成,王旭东,秋仁东等,竖向地震荷载下人字批顶结构石窟的稳定性分析[J],世界地震工程,2009,25(4):148～152.Shi Yucheng,Wang Xu Dong,Qiu Rendong et al.Study on Seismic Stability of Grottoes with Gable Roof under Vertical Seismic Loads.WorldEartnquake Engineering.2009,25(4):148～152.
[3]石玉成,付长华,王兰民.石窟围岩地震变形破坏机制的数值模拟分析[J].岩土力学.2006,27(4):,543～548.Shi Yucheng,Fu Changhua,Wang Lanmin.Numerical Simulation Analysis of Mechanism of Seismic Deformation Damage of Country Rock of Grot-toes.Rock and Soil mechanics.2006,27(4):,543～548.
[4]秋仁东.石玉成.徐舜华等.预应力锚索加固石窟岩体的地震动力响应研究[J].西北地震学报,2007,29(1):49～53.Qiu Rendong,Shi Yucheng,Xu Shunhua et al.Study on Dynamical Response of Grotto Rock Reinforced by Prestress Anchor Cable under the Seis-mic Load.Northwestern Seismological Journal.2007,29(1):49～53.
[5]秋仁东,石玉成,付长华.高边坡在水平动荷载作用下的动力响应规律研究[J],世界地震工程,2007,23(2):131～138.Qiu Rendong,Shi Yucheng,Fu Changhua.General laws of dynamic responses of the high slopes under horizontal dynamic input.World Earth-quake Engineering.2007,23(2):131～138.
[6]韦凯,高峰,石玉成等.石窟地震反应分析[J].兰州交通大学学报(自然科学版),2005,24(6):46～49.Wei Kai,Gao Feng,Shi Yucheng,et al.Analysis of seismic responses of grottoes.Journal of Lanzhou Jiaotong University(Natural Science).2005,24(6):46～49.
[7]李最雄,中国石窟岩体病害治理技术[M].兰州大学出版社,2006.Li Zuixiong.Treatment of Hazards for Grotto Rock in China.Lanzhou university press.2006..
[8]仇转,刘巍,山西大同-阳高地震活动背景[J],山西地震,2005(2):1～10.Qiu zhuan,Liu Wei.Seismicity Background of Datong–Yanggao earthquake of Shanxi.Earthquake Research in Shanxi.2005(2):1～10.
[9]戴自航,沈蒲生.莫尔-库仑等面积圆屈服准则的简化形式及应用[J].福州大学学报(自然科学版),2003,31(4):455～459.Dai Zihang,Shen Pusheng.Simplified form and application of mohr-coulomb equivalent area circle yield criterion.Journal of Fuzhou University(Natural Science).2003,31(4):455～459.
[10]隋斌,朱维申,李晓静,地震荷载作用下大型地下洞室群的动态响应模拟[J],岩石工程学报,2008,30(12):1877～1882.Sui Bin,Zhu Weishen,Li Xiaojing.Simulation on dynamic response of large underground opening complex under seismic loads.Chinese Journal ofGeotechnical Engineering.2008,30(12):1877～1882.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心