不同变位模式刚性挡土墙的动被动土压力
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摘要
基于Mononobe-Okabe假定,通过对滑动土体中水平薄层单元的分析,建立了墙体平动(T)模式、墙体绕基础转动(RB)模式和墙体绕墙顶转动(RT)模式下的被动土压力的一阶微分方程,给出了土压力强度、土压力合力、土压力作用点的理论计算公式,并将该理论计算公式与库仑理论结果进行了比较。结果表明:土压力强度分布呈曲线分布,合力作用点到墙底的距离依(RB)模式、(T)模式和(RT)模式次序增大。
Based on Mononobe-Okabe's postulation,the first-order differential equation for passive earth pressure on the retaining wall was set up for the translation(T)mode,movement modes of rotation around base(RB)and rotation around top(RT) by analyzing slice elements extracted from sliding soil wedge;and the formulas for calculating of the unit earth pressure,the resultant earth pressure and the action point of resultant pressure were given.The comparison between calculated results by the present formulas and Coulomb's theory shows that the unit earth pressure is nonlinearly distributed;and that the distance from the action point of resultant pressure to the base of wall increases with the order of(RB)mode,(T)mode,and(RT) mode.
Based on Mononobe-Okabe's postulation,the first-order differential equation for passive earth pressure on the retaining wall was set up for the translation(T)mode,movement modes of rotation around base(RB)and rotation around top(RT) by analyzing slice elements extracted from sliding soil wedge;and the formulas for calculating of the unit earth pressure,the resultant earth pressure and the action point of resultant pressure were given.The comparison between calculated results by the present formulas and Coulomb's theory shows that the unit earth pressure is nonlinearly distributed;and that the distance from the action point of resultant pressure to the base of wall increases with the order of(RB)mode,(T)mode,and(RT) mode.
引文
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[15]刘惠珊,张在明.地震区的场地与地基基础[M].北京:中国建筑工业出版社,1994.
[16]刘忠玉,杨会朋,何盛东.刚性挡土墙地震主动土压力的非线性分布[J].郑州大学学报(工学版),2004,25(2):36-38.
[2]JAIN S K,SCOTT R F.Seismic analysis of cantilever retaining walls[C]//10th Int.Conf.on Structrual Mechanics in Reactor Technology.California:Bechtel Western Power Company,1989:241-246.
[3]ALAMPALLI S,ELGAMAL A W.Retaining wall:computation of seismically induced deformations[C]//Proc.2nd Int.Conf.on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics.Missouri:University of Missouri-Rolla,1991:635-642.
[4]SILLER T J,CHRISTIANO P P,BIELAK J.Seismic response of tied-back retaining walls[J].Earthquake Engineering and Structural Dynamics,1991,20(7):605-620.
[5]VELETSOS A S,YOUNAN A H.Dynamic modeling and response of soil-wall system[J].Journal of Geotechnical and Geoenvironmental Engineering,1994,120(12):2155-2179.
[6]RICHARDS JR R,HUANG C,FISHMAN K L.Seismic earth pressure on retaining structures[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(9):771-778.
[7]MONONOBE N.Considerations into earthquake vibrations and vibration theories[J].Journal of the Japan Society of Civil Engineers,1924,10(5):1063-1094.
[8]MONONOBE N,MATSUO H.On the determination of earthquake pressure during earthquake[C]//Proc.of World Engineering Congress.Tokyo:[s.n.],1929:177-185.
[9]OKABE S.General theory on earthquake pressure and seismic stability of retaining wall and dam[J].Journal of the Japan Society of Civil Engineers,1924,10(5):1277-1323.
[10]WHITMAN R V.Seismic design of earth retaining structures[C]//Proc.2nd Int.Conf.on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics.Missouri:University of Missouri-Rolla,1991:1767-1778.
[11]ISHIBASHI I,FANG Y S.Dynamic earth pressures with different wall movement modes[J].Soils and Founda-tions,1987,27(4):11-22.
[12]RICHARDS R,HUANG C,FISHMAN K L.Seismic earth pressure on retaining structures[J].Journal of Geotechnical and Geo environmental Engineer-ing,1999,125(9):771-778.
[13]WU G X,FIN W L.Seismic lateral pressures for design of rigid walls[J].Canadian Geotechanical Journal,1999,36:509-522.
[14]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.
[15]刘惠珊,张在明.地震区的场地与地基基础[M].北京:中国建筑工业出版社,1994.
[16]刘忠玉,杨会朋,何盛东.刚性挡土墙地震主动土压力的非线性分布[J].郑州大学学报(工学版),2004,25(2):36-38.
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