考虑土拱效应的挡土墙地震土压力及其分布
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摘要
以Mononobe-Okabe理论的基本假设为前提,采用水平层分析法建立了地震作用下主动土压力强度的一阶微分方程,得到了土压力分布、合力及合力作用点的理论公式,并与不考虑土拱效应影响的计算方法和模型试验数据进行了比较。结果表明,所得合力公式与Mononobe-Okabe公式吻合;地震影响系数对土压力强度分布影响较大,合力作用点高于墙高1/3,并随地震系数的增大逐渐提升;土拱效应对合力作用点的位置影响较大,在墙土接触面较粗糙时应考虑土拱效应的影响。
Based on the basic assumption of Mononobe-Okabe theory and by using the method of level-layer analysis,the first-order differential equation of the active pressure considering arching effects on rigid retaining walls is set up under earthquake loads,and the theoretical formula of the unit earth pressure,the resultant force and the point of application of the resultant force are obtained as well.Then,present method has been compared with other computing methods without considering soil arching and some experimental data.It is demonstrated that the formula of the resultant force is identical to Mononobe-Okabe’s,the earthquake coefficient has influence on the distribution of earth pressure,the point of action of resultant seismic earth pressure is higher than the 1/3 height of the retaining wall and in direct proportion to the earth-quake coefficient and the soil arching effect should be taken into consideration when the soil-wall interface is rough because the soil arching has influence on the position of the point of the resultant force.
Based on the basic assumption of Mononobe-Okabe theory and by using the method of level-layer analysis,the first-order differential equation of the active pressure considering arching effects on rigid retaining walls is set up under earthquake loads,and the theoretical formula of the unit earth pressure,the resultant force and the point of application of the resultant force are obtained as well.Then,present method has been compared with other computing methods without considering soil arching and some experimental data.It is demonstrated that the formula of the resultant force is identical to Mononobe-Okabe’s,the earthquake coefficient has influence on the distribution of earth pressure,the point of action of resultant seismic earth pressure is higher than the 1/3 height of the retaining wall and in direct proportion to the earth-quake coefficient and the soil arching effect should be taken into consideration when the soil-wall interface is rough because the soil arching has influence on the position of the point of the resultant force.
引文
[1]Mononobe N.Considerations into Earthquake Vi-brations and Vibration Theories[J].Journal of theJapan Society of Civil Engineers,1924,10(5):1 063-1 094.
[2]Okabe S.General Theory on Earthquake Pressureand Seismic Stability of Retaining Wall and Dam[J].Journal of the Japan Society of Civil Engineers,1924,10(5):1 277-1 323.
[3]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.
[4]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.
[5]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,2007,151(5):1-5.
[6]普拉卡什S.土动力学[M].徐攸在译.北京:水利电力出版社,1984.
[7]Handy R L.The Arch in Soil Arching[J].Journalof Geotechnical Engineering,ASCE,1985,111(3):302-318.
[8]Kingsley H W.Arch in Soil Arching[J].Journal ofGeotechnical Engineering,ASCE,1989,115(3):415-419.
[9]Sherif M A,Ishibashi I,Lee C D.Earth PressuresAgainst Rigid Retaining Walls[J].Journal of Geotech-nical Engineering,1982,108(5):679-695.
[2]Okabe S.General Theory on Earthquake Pressureand Seismic Stability of Retaining Wall and Dam[J].Journal of the Japan Society of Civil Engineers,1924,10(5):1 277-1 323.
[3]吴世明.土动力学[M].北京:中国建筑工业出版社,2000.
[4]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.
[5]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,2007,151(5):1-5.
[6]普拉卡什S.土动力学[M].徐攸在译.北京:水利电力出版社,1984.
[7]Handy R L.The Arch in Soil Arching[J].Journalof Geotechnical Engineering,ASCE,1985,111(3):302-318.
[8]Kingsley H W.Arch in Soil Arching[J].Journal ofGeotechnical Engineering,ASCE,1989,115(3):415-419.
[9]Sherif M A,Ishibashi I,Lee C D.Earth PressuresAgainst Rigid Retaining Walls[J].Journal of Geotech-nical Engineering,1982,108(5):679-695.
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