力幅突变激扰作用的岩石边坡动力敏感性研究
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摘要
动载荷作用引起岩石边坡失稳破坏,尤其力幅突变激扰作用对边坡稳定影响很大。对动、静载荷作用下岩石力学性质进行了分析,建立了岩石边坡非线性运动方程,分析了岩石边坡动力变形模型及非线性动力响应,得出当扰动频率增加到一定程度,滑体振幅突然增加,产生向上突跳并随力幅的增加继续增加;反之,当力幅较大并逐渐减小时,滑体振幅也随之减小,当扰动的振幅减小至一定程度,滑体振幅突然降低,产生向下突跳减小。对初始条件和力幅突变激扰对岩石力学非线性振动系统的影响进行了分析,得到初始条件的微小变化可引起系统响应的巨大差异,当振幅A极小时,线性系统的振荡很弱,它对非线性系统的作用也很弱,整个系统的运动便可看作两运动的独立叠加。当振幅A再加大到使其幅值超过非线性系统三奇点之间的间隔时,系统可以在这些奇点之间来回跃迁振荡,从而运动复杂化,随振幅A的增加,系统从倍周期运动向混运动变化,研究结果可为岩石边坡的动力稳定提供指导。
The dynamic loading leads to instability and failure of rock slope.Especially,the role of force increase mutation has a great influence on slope stability.The rock mechanical properties are analyzed under static and dynamic loadings.And then,the nonlinear equation of rock slope is established.The dynamic deformation model of rock slope and the nonlinear dynamic response are studied.The amplitude of the sliding body suddenly increase,resulting in the sudden jump up and continue to increasing with the increase of the force,when the disturbance frequency to a certain extent.Conversely,the amplitude of the landslide suddenly reduces,resulting in the sudden decreases when the perturbation amplitude reduces to a certain extent.Tiny changes in initial conditions can cause a huge difference of the system response.The movement of the entire system can be regarded as an independent superposition of the two sports when the amplitude(A) is very small.As the amplitude(A) increases to more than its amplitude between the three singular points of the nonlinear system interval,the system can oscillate back and forth between these singular points.With the amplitude(A) increasing,the system changes from the period-doubling motion to mix sports.The results can provide guidance for the dynamic stability of the rock slope.
The dynamic loading leads to instability and failure of rock slope.Especially,the role of force increase mutation has a great influence on slope stability.The rock mechanical properties are analyzed under static and dynamic loadings.And then,the nonlinear equation of rock slope is established.The dynamic deformation model of rock slope and the nonlinear dynamic response are studied.The amplitude of the sliding body suddenly increase,resulting in the sudden jump up and continue to increasing with the increase of the force,when the disturbance frequency to a certain extent.Conversely,the amplitude of the landslide suddenly reduces,resulting in the sudden decreases when the perturbation amplitude reduces to a certain extent.Tiny changes in initial conditions can cause a huge difference of the system response.The movement of the entire system can be regarded as an independent superposition of the two sports when the amplitude(A) is very small.As the amplitude(A) increases to more than its amplitude between the three singular points of the nonlinear system interval,the system can oscillate back and forth between these singular points.With the amplitude(A) increasing,the system changes from the period-doubling motion to mix sports.The results can provide guidance for the dynamic stability of the rock slope.
引文
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[14]路为,白冰,陈从新.岩质顺层边坡的平面滑移破坏机制分析[J].岩土力学,2011,32(增刊2):204-207.LU Wei,BAI Bing,CHENG Cong-xin.Analysis of mechanism of plane sliding failure for bedded rock slopes[J].Rock and Soil Mechanics,2011,32(Supp.2):204-207.
[15]杨天鸿,张锋春,于庆磊,等.露天矿高陡边坡稳定性研究现状及发展趋势[J].岩土力学,2011,32(5):1437-1472.YANG Tian-hong,ZHANG Feng-chun,YU Qing-lei,et al.Research situation of open-pit mining high and steep slope stability and its developing trend[J].Rock and Soil Mechanics,2011,32(5):1437-1472.
[2]王来贵,黄润秋,王泳嘉.岩石力学系统运动稳定性及其应用[M].北京:地质大学出版社,1998.
[3]周维垣.高等岩石力学[M].北京:水利水电出版社,1993.
[4]CLAES A.Application of probabilistic approach in slopestabilityanalyses[C]//Proceedings of Landslides.Rotterdam:Balkema,1996:1137-1142.
[5]BROADBENT C D,KO K C.Rheological aspects ofrock slope failures[J].Stability of Rock Slopes,1971:573-593.
[6]章根德,剡公瑞.岩体高边坡流变学性状有限元分析[J].岩土工程学报,1999,21(2):166-170.ZHANG Gen-de,YAN Gong-rui.Finite element analysisfor rheological behavior of rock highslope[J].ChineseJournal of Geotechnical Engineering,1999,21(2):166-170.
[7]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 Ying-ren,YE Hai-lin,HUANG Run-qiu.Analysis and discussion of failure mechanism andfracture surface of slope under earthquake[J].ChineseJournal of Rock Mechanics and Engineering,2009,28(8):1714-1723.
[8]肖克强,李海波,刘亚群,等.地震荷载作用下顺层岩体边坡变形特征分析[J].岩土力学,2007,28(8):1557-1564.XIAO Ke-qiang,LI Hai-bo,LIU Ya-qun,et al.Study on deformation characteristics of bedding slopes under earthquake[J].Rock and Soil Mechanics,2007,28(8):1557-1564.
[9]言志信,张刘平,曹小红,等.地震作用下顺层岩质边坡动力响应规律及变形机制研究[J].岩土工程学报,2011,33(增刊1):54-58.YAN Zhi-xin,ZHANG Liu-ping,CAO Xiao-hong,et al.Dynamic response and deformation mechanism of a bedding rock slope under earthquakes[J].Chinese Journal of Geotechnical Engineering,2011,33(Supp.1):54-58.
[10]龚文惠,王平,陈峰.顺层岩质路堑边坡稳定性的敏感性因素分析[J].岩土力学,2007,28(4):812-816.GONG Wen-hui,WANG Ping,CHENG Feng.Analysis of sensitivity factors to stability of bedding rock cutting slope[J].Rock and Soil Mechanics,2007,28(4):812-816.
[11]林杭,曹平,李江腾,等.边坡临界失稳状态的判定标准[J].煤炭学报,2008,33(6):643-647.LIN Hang,CAO Ping,LI Jiang-teng,et al.The standards for critical failure state of slope[J].Journal of China Coal Society,2008,33(6):643-647.
[12]李世海,刘天苹,刘晓宇.论滑坡稳定性分析方法[J].岩石力学与工程学报,2009,28(增刊2):3309-3324.LI Shi-hai,LIU Tian-ping,LIU Xiao-yu.Analysis method for landslide stability[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.2):3309-3324.
[13]李建林,刘杰,王乐华.多因素作用下隔河岩电站厂房高边坡变形机理及岩体稳定性研究[J].岩土工程学报,2007,29(9):1289-1295.LI Jian-lin,LIU Jie,WANG Yue-hua.Studies on deformation mechanism and rock mass stability of high slopes of Geheyan power station under multiple factors[J].Chinese Journal of Geotechnical Engineering,2007,29(9):1289-1295.
[14]路为,白冰,陈从新.岩质顺层边坡的平面滑移破坏机制分析[J].岩土力学,2011,32(增刊2):204-207.LU Wei,BAI Bing,CHENG Cong-xin.Analysis of mechanism of plane sliding failure for bedded rock slopes[J].Rock and Soil Mechanics,2011,32(Supp.2):204-207.
[15]杨天鸿,张锋春,于庆磊,等.露天矿高陡边坡稳定性研究现状及发展趋势[J].岩土力学,2011,32(5):1437-1472.YANG Tian-hong,ZHANG Feng-chun,YU Qing-lei,et al.Research situation of open-pit mining high and steep slope stability and its developing trend[J].Rock and Soil Mechanics,2011,32(5):1437-1472.
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