边坡动力响应的非线性特征分析
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摘要
以节理岩质边坡作为研究对象,采用离散单元法,分析了边坡在地震作用下的变形特征,根据边坡演化过程中所表现出的非线性特征,应用相空间重构理论证明边坡的演化过程是混沌序列,边坡动力失稳过程包含2次分岔,边坡失稳的本质是分岔。
To choose an jointed rock slope as study target,deformation features of the jointed rock slope under the action of strong earthquakes are analyzed by means of the discrete element method.Based on their nonlinear characters and the reconstruction theory of the phase space,it is proved that the evolution of the slope is a chaotic sequence,the dynamic failure of the slopes contains two bifurcations,and the stability failure of the slopes is essentially bifurcation.
To choose an jointed rock slope as study target,deformation features of the jointed rock slope under the action of strong earthquakes are analyzed by means of the discrete element method.Based on their nonlinear characters and the reconstruction theory of the phase space,it is proved that the evolution of the slope is a chaotic sequence,the dynamic failure of the slopes contains two bifurcations,and the stability failure of the slopes is essentially bifurcation.
引文
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[5]姜彤,马莎,许兵,等.边坡在地震作用下的加卸载响应规律研究[J].岩石力学与工程学报,2004,23(22):3803-3807.Jiang Tong,Ma Sha,Xu Bing,et al.Study on laws of load-unload response of slope under seismic load[J].Chinese Journal of Rock Mechanics andEngineering,2004,23(22):3803-3807.
[6]尹祥础,尹灿.非线性系统的失稳与前兆-响应比理论及其应用[J].中国科学B辑,1991,21(5):512-518.Yin Xiangchu,Yin Can.Instability and precursor of nonlinear system-response ratio theory and its application[J].Science in China(B series),1991,21(5):512-518.
[7]姜彤.边坡在地震作用力下的加卸载响应规律及非线性稳定分析[D].北京:中国地震局地质研究所,2004.Jiang Tong.Load-unload reponses of slopes under seismic load and nonlinear stability analysis[D].Beijing:Institute of Geology,China Earth-equake Administration,2004.
[2]秦四清,张倬元,王士天等,非线性工程地质学导引[M].成都:西南交通大学出版社,1993.Qin Siqing,Zhang Zhuoyuan,Wang Shitian,et al.Guide of Nonlinear Engineering Geology[M].Chengdu:South West Jiao Tong University Press,1993.
[3]许强,黄润秋.用加卸载响应比理论探讨斜坡失稳前兆[J].中国地质灾害与防治学报,1995,6(2):25-31.Xu Qiang,Huang Runqiu.Studies on the precusor of slope instability applying to the load unload response ratio theory[J].The Chinese Journal ofGeological Hazard and Control,1995,6(2):25-31.
[4]毛彦龙,胡广韬,毛新虎,等.地震滑坡启程剧动的机理研究及离散元模拟[J].工程地质学报,2001,9(1):74-80.Mao Yanlong,Hu Guangtao,Mao Xinhu,et al.Methanism of set-out violent-slide of slope mass during earthquake and its simulation by using dis-ctete element method[J].Journal of Engineering Geology,2001,9(1):74-80.
[5]姜彤,马莎,许兵,等.边坡在地震作用下的加卸载响应规律研究[J].岩石力学与工程学报,2004,23(22):3803-3807.Jiang Tong,Ma Sha,Xu Bing,et al.Study on laws of load-unload response of slope under seismic load[J].Chinese Journal of Rock Mechanics andEngineering,2004,23(22):3803-3807.
[6]尹祥础,尹灿.非线性系统的失稳与前兆-响应比理论及其应用[J].中国科学B辑,1991,21(5):512-518.Yin Xiangchu,Yin Can.Instability and precursor of nonlinear system-response ratio theory and its application[J].Science in China(B series),1991,21(5):512-518.
[7]姜彤.边坡在地震作用力下的加卸载响应规律及非线性稳定分析[D].北京:中国地震局地质研究所,2004.Jiang Tong.Load-unload reponses of slopes under seismic load and nonlinear stability analysis[D].Beijing:Institute of Geology,China Earth-equake Administration,2004.
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