不同变位模式下刚性挡土墙的动主动土压力
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摘要
基于Mononobe-Okabe理论的基本假设,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)模式下的主动土压力的一阶微分方程式,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Mononobe-Okabe理论结果进行了比较.结果表明:土压力强度分布呈非线性分布,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.当地面荷载q0=0时,各种墙体变位模式下的动土压力合力与Mononobe-Okabe理论相同.
On the basis of the Assumption of Mononobe-Okabe theory,the first-order differential equation for active 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 the sliding soil wedge.And the formulas for calculating the unit earth pressure,the resultant earth pressure and the action point of the result pressure were given.The comparison between calculated results with the present formulas and Mononobe-Okabe theory has shown 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.It has also indicated that the calculated results of the resultant pressure under various modes of movement are in accordance with those of Mononobe-Okabe theory for q0=0.
On the basis of the Assumption of Mononobe-Okabe theory,the first-order differential equation for active 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 the sliding soil wedge.And the formulas for calculating the unit earth pressure,the resultant earth pressure and the action point of the result pressure were given.The comparison between calculated results with the present formulas and Mononobe-Okabe theory has shown 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.It has also indicated that the calculated results of the resultant pressure under various modes of movement are in accordance with those of Mononobe-Okabe theory for q0=0.
引文
[1]MONONOBE N.Considerations into earthquake vibrations andvibration theories[J].Journal of the Japan Society of Civil En-gineers,1924,10(5):1063-1094.
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[5]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.WU Shi-ming.Soil dynamics[M].Beijing:Chinese Building In-dustry Press,2000.(In Chinese)
[6]彭润民,纪秋林.不同变位模式刚性挡土墙的动被动土压力[J].岩土力学,2009,30(增刊2):34-38.PENG Run-min,JI Qiu-lin.Dynamic passive earth pressureon retaining wall under various modes of movement[J].Rockand Soil Mechanics,2009,30(suppl 2):34-38.(In Chinese)
[7]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.LIU Zhong-yu,YANG Hui-peng,HE Sheng-dong.Nonlineardistribution of seismic active earth pressure on rigid retainingwall[J].Journa1of Zhengzhou University:Engineering Sci-ence,2004,25(2):36-38.(In Chinese)
[8]王立强,王元战,迟丽华.挡土墙地震土压力及其分布[J].中国港湾建设,2007,10:1-5.WANG Li-qiang,WANG Yuan-zhan,CHI Li-hua.Distribu-tion of seismic soil pressure on aretaining wall[J].China Har-bour Engineerin,2007,10:1-5.(In Chinese)
[2]IHIBAAI I,FANG Y S.Dynamic earth pressures with differ-ent wall movement modes[J].Soils and Foundations,1987,27(4):11-22.
[3]RICHARDS R,HUANG C,FISHMAN K L.Seismic earthpressure on retaining structures[J].Journal of Geotechnicaland Geoenvironmental Engineering,1999,125(9):771-778.
[4]WU G X,FIN W L.Seismic lateral pressures for design of rigidwalls[J].Canadian Geotechnical Journa1,1999,36:509-522.
[5]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.WU Shi-ming.Soil dynamics[M].Beijing:Chinese Building In-dustry Press,2000.(In Chinese)
[6]彭润民,纪秋林.不同变位模式刚性挡土墙的动被动土压力[J].岩土力学,2009,30(增刊2):34-38.PENG Run-min,JI Qiu-lin.Dynamic passive earth pressureon retaining wall under various modes of movement[J].Rockand Soil Mechanics,2009,30(suppl 2):34-38.(In Chinese)
[7]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.LIU Zhong-yu,YANG Hui-peng,HE Sheng-dong.Nonlineardistribution of seismic active earth pressure on rigid retainingwall[J].Journa1of Zhengzhou University:Engineering Sci-ence,2004,25(2):36-38.(In Chinese)
[8]王立强,王元战,迟丽华.挡土墙地震土压力及其分布[J].中国港湾建设,2007,10:1-5.WANG Li-qiang,WANG Yuan-zhan,CHI Li-hua.Distribu-tion of seismic soil pressure on aretaining wall[J].China Har-bour Engineerin,2007,10:1-5.(In Chinese)
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