框架预应力锚杆边坡支护结构动力计算方法研究
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摘要
考虑了土体与结构的性质及相互作用,建立了框架预应力锚杆边坡支护结构动力计算模型。该模型根据框架预应力锚杆的实际工作机理,自由段和锚固段分别简化为两段均匀弹性圆杆,将土体对锚固段的作用处理成一个线性弹簧和一个与速度有关的阻尼器,把框架对锚杆的惯性作用简化为集中于锚杆外端头上的等效质量加以考虑,基于前述简化,推导出框架预应力锚杆边坡支护结构协同工作的水平地震动力运动方程,并进行了地震响应分析。最后将提出的方法应用于实际工程,并与数值模拟、振动台试验进行了对比,结果表明吻合较好,说明提出的方法是实用、可靠的。通过该模型可以得到框架预应力锚杆边坡支护结构在水平地震作用下的动位移、锚杆轴力地震响应、地震作用下的轴力峰值沿边坡高度及锚杆轴向的分布规律,为框架预应力锚杆边坡支护结构的动力分析与抗震设计提供了理论基础。
Considering the nature of the mutual influence between a structure and its supporting soil,a dynamic calculation model of a supporting frame with pre-stress anchors for the slope stability is established.According to the actual working mechanism of the frame with pre-stress anchors,the free segment and anchorage body of an anchor is respectively simplified two section uniform elastic round rods.The interaction between soil and anchors is treated with a linear spring and a damped system related with velocity.The influence of the frame upon the anchor is simplified for equivalent mass.Under the condition of a horizontal earthquake excitation,the vibration equation is deduced based on being mentioned ahead,and the analytical solutions are obtained.The method is applied to a case record for illustration of its capability.In order to verify the method,a 3-D nonlinear finite element software(ADINA) is used to analyze the seismic performance of this case,the results of comparison with that of the proposed approach and that of the finite element method and that of a shaking table test show a good agreement.The results of analysis reveal that this simplified calculation model is feasible.The seismic displacement response,the anchors axial force increment response,the distribution of axial force along slope height and anchors axis can be obtained through the established model.The calculation model provides a new approach for the earthquake analysis and aseismic design of slope stability supported by a frame with pre-stress anchors.
Considering the nature of the mutual influence between a structure and its supporting soil,a dynamic calculation model of a supporting frame with pre-stress anchors for the slope stability is established.According to the actual working mechanism of the frame with pre-stress anchors,the free segment and anchorage body of an anchor is respectively simplified two section uniform elastic round rods.The interaction between soil and anchors is treated with a linear spring and a damped system related with velocity.The influence of the frame upon the anchor is simplified for equivalent mass.Under the condition of a horizontal earthquake excitation,the vibration equation is deduced based on being mentioned ahead,and the analytical solutions are obtained.The method is applied to a case record for illustration of its capability.In order to verify the method,a 3-D nonlinear finite element software(ADINA) is used to analyze the seismic performance of this case,the results of comparison with that of the proposed approach and that of the finite element method and that of a shaking table test show a good agreement.The results of analysis reveal that this simplified calculation model is feasible.The seismic displacement response,the anchors axial force increment response,the distribution of axial force along slope height and anchors axis can be obtained through the established model.The calculation model provides a new approach for the earthquake analysis and aseismic design of slope stability supported by a frame with pre-stress anchors.
引文
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[10]石玉成,秋仁东,孙军杰.地震作用下预应力锚索加固危岩体的动力响应分析[J].岩土力学,2011,32(4):1157―1162.Shi Yucheng,Qiu Rendong,Sun Junjie.Analysis ofdynamic response of dangerous rock mass reinforced byprestressed anchor cables under seismic loads[J].Rockand Soil Mechanics,2011,32(4):1157―1162.(inChinese)
[11]叶海林,黄润秋,郑颖人,等.岩质边坡锚杆支护参数地震敏感性分析[J].岩土工程学报,2010,32(9):1372―1379.Ye Hailin,Huang Runqiu,Zheng Yingren,et al.Sensitivity analysis of parameters for bolts in rock slopesunder earthquakes[J].Chinese Journal of GeotechnicalEngineering,2010,32(9):1372―1379.(in Chinese)
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[14]Stamatopoulos C A,Bassanou M,Brennan A J,Madabhushi G.Mitigation of the seismic motion near theedge of cliff-type topographies[J].Soil Dynamics andEarthquake Engineering,2007(27):1082―1100.
[15]文畅平,杨果林.格构式框架护坡地震动位移模式的振动台试验研究[J].岩石力学与工程学报,2011,30(10):2076―2083.Wen Changping,Yang Guolin.Shake table model teststudy of seismic displacement mode of slope with anchorlattice frame structure[J].Chinese Journal of RockMechanics and Engineering,2011,30(10):2076―2083.(in Chinese)
[16]叶海林,郑颖人,陆新.边坡锚杆地震动特性的振动台试验研究[J].土木工程学报,2011,44(增刊):152―157.Ye Hailin,Zheng Yingren,Lu Xin.Shake table test onanchor bars of slope under earthquake[J].ChineseJournal of Civil Engineering,2011,44(Suppl):152―157.(in Chinese)
[17]杨桂通.土动力学[M].北京:中国建材工业出版社,2000:251―300.Yang Guitong.Soil dynamics[M].Beijing:ChinaArchitecture Material Industry Press,2000:251―300.(in Chinese)
[18]谢定义.土动力学[M].西安:西安交通大学出版社,1998:52―92.Xie Dingyi.Soil dynamics[M].Xi’an:Xi’anCommunication University Press,1998:52―92.(inChinese)
[19]Yokoyama T,Liu K.A numerical and experimental studyof transient tensional waves in stepped circular bars[J].International Journal of Engineering Science,2000,38:287―307.
[20]胡聿贤.地震工程学[M].北京:地震出版社,1988:331―341.Hu Yuxian.Earthquake engineering[M].EarthquakePress,1988:331―341.(in Chinese)
[2]Mario Parise,Randall W Jibson.A seismic landslidesusceptibility rating of geologic units based on analysisof characteristics of landslides triggered by the 17January,1994 Northridge,California earthquake[J].Engineering Geology,2000,58(4):251―270.
[3]Keefer D K.Statistical analysis of an earthquake-inducedlandslide distribution-the 1989 Loma Prieta,Californiaevent[J].Engineering Geology,2000,58(3):231―249.
[4]王晓荣,蒋育华.预应力锚索在高边坡病害治理工程中的应用[J].岩石力学与工程学报,2003,22(增2):2731―2733.Wang Xiaorong,Jiang Yuhua.Application of prestressedanchor cable to control engineering of high slope disaster[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(Suppl 2):2731―2733.(in Chinese)
[5]Zhu Yanpeng,Zhou Yong.Analysis and design of framesupporting structure with pre-stressed anchor bars onloess slope[C].Proceedings of the ACMSM2004.Perth,Australia:Structural Design and Analysis ResearchCouncil,2004:189―197.
[6]李忠,朱彦鹏.框架预应力锚杆边坡支护结构稳定性计算方法及其工程应用[J].岩石力学与工程学报,2005,24(21):3922―3926.Li Zhong,Zhu Yanpeng.Stability calculation methodsfor grillage supporting structure with prestressed anchorand its application[J].Chinese Journal of RockMechanics and Engineering,2005,24(21):3922―3926.(in Chinese)
[7]张永防,王秉勇.用锚杆框架护坡加固南昆线膨胀土边坡的研究[J].铁道工程学报,2000,17(3):92―95.Zhang Yongfang,Wang Bingyong.Study onstrengthening expansive soil side slopeNanning-Kunming railway by using revetment withanchor bolt frame[J].Journal of Railway Engineering,2000,17(3):92―95.(in Chinese)
[8]铁道部第十三工程局.框架式锚杆挡墙施工方法[J].施工技术,2001,30(5):37―39.The 13th Engineering Bureau of Railway Ministry.Construction method of frame anchor barricade wall[J].Construction Technology,2001,30(5):37―39.(inChinese)
[9]杨杰.高速公路路堑边坡加固预应力锚索施工技术与质量控制[J].岩石力学与工程学报,2003,22(增2):2759―2764.Yang Jie.Construction technique and quality control ofprestressed cables for stabilizing cutting slopes ofexpressway[J].Chinese Journal of Rock Mechanics andEngineering,2003,22(Suppl 2):2759―2764.(inChinese)
[10]石玉成,秋仁东,孙军杰.地震作用下预应力锚索加固危岩体的动力响应分析[J].岩土力学,2011,32(4):1157―1162.Shi Yucheng,Qiu Rendong,Sun Junjie.Analysis ofdynamic response of dangerous rock mass reinforced byprestressed anchor cables under seismic loads[J].Rockand Soil Mechanics,2011,32(4):1157―1162.(inChinese)
[11]叶海林,黄润秋,郑颖人,等.岩质边坡锚杆支护参数地震敏感性分析[J].岩土工程学报,2010,32(9):1372―1379.Ye Hailin,Huang Runqiu,Zheng Yingren,et al.Sensitivity analysis of parameters for bolts in rock slopesunder earthquakes[J].Chinese Journal of GeotechnicalEngineering,2010,32(9):1372―1379.(in Chinese)
[12]Bathurst R J,Karpurapu R,Jarrett P M.Finite elementanalysis of a geogrid reinforced soil wall,Grouting,SoilImprovement and Geosynthetics[J].ASCE GeotechnicalSpecial Publication,1992,1(30):1213―1224.
[13]Ho S K,Rowe R K.Finite element analysis ofgeosynthetic reinforced soil walls[C].Proceedings ofGeosynthetics’93.Vancouver,Canada:GeosyntheticSociety,1993,1:203―216.
[14]Stamatopoulos C A,Bassanou M,Brennan A J,Madabhushi G.Mitigation of the seismic motion near theedge of cliff-type topographies[J].Soil Dynamics andEarthquake Engineering,2007(27):1082―1100.
[15]文畅平,杨果林.格构式框架护坡地震动位移模式的振动台试验研究[J].岩石力学与工程学报,2011,30(10):2076―2083.Wen Changping,Yang Guolin.Shake table model teststudy of seismic displacement mode of slope with anchorlattice frame structure[J].Chinese Journal of RockMechanics and Engineering,2011,30(10):2076―2083.(in Chinese)
[16]叶海林,郑颖人,陆新.边坡锚杆地震动特性的振动台试验研究[J].土木工程学报,2011,44(增刊):152―157.Ye Hailin,Zheng Yingren,Lu Xin.Shake table test onanchor bars of slope under earthquake[J].ChineseJournal of Civil Engineering,2011,44(Suppl):152―157.(in Chinese)
[17]杨桂通.土动力学[M].北京:中国建材工业出版社,2000:251―300.Yang Guitong.Soil dynamics[M].Beijing:ChinaArchitecture Material Industry Press,2000:251―300.(in Chinese)
[18]谢定义.土动力学[M].西安:西安交通大学出版社,1998:52―92.Xie Dingyi.Soil dynamics[M].Xi’an:Xi’anCommunication University Press,1998:52―92.(inChinese)
[19]Yokoyama T,Liu K.A numerical and experimental studyof transient tensional waves in stepped circular bars[J].International Journal of Engineering Science,2000,38:287―307.
[20]胡聿贤.地震工程学[M].北京:地震出版社,1988:331―341.Hu Yuxian.Earthquake engineering[M].EarthquakePress,1988:331―341.(in Chinese)
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