基于Hoek理论考虑地震力作用的楔形体稳定性计算分析
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摘要
Hoek理论是楔形体问题分析及计算的常用理论,它假定各滑面均为平面,以各滑面总抗滑力与楔形体总下滑力的比值来确定安全系数。但传统的Hoek理论未考虑地震力的影响,对需要考虑地震作用的地区其应用受限。基于Hoek理论采用极限平衡法的分析原理,将地震对楔形体的作用力纳入Hoek理论,从而得到一个考虑地震作用下楔形体稳定性的计算方法,并应用在临岳高速公路边坡的稳定性分析上,与实际情况吻合,说明推导的计算方法是正确的。
Hoek's Theory is a theory common used for analysis and calculation about wedge.It assumes that every sliding surface is plane and the ratio of total anti-sliding force at the sliding surfaces to total sliding force at the wedge is used to define safety factor.However,the traditional Hoek's Theory does not take seismic force effect into consideration so that the application is limited within the region requiring this concern.Then,the action of seismic force is considered with analysis rationale of limit equilibrium method based on Hoek's Theory and a method calculating wedge stability with consideration of seismic force action is obtained.This method is used to analyze the stability of the slope along Linxiang-Yueyang Highway with the result conforming to the fact,thus it is demonstrated that the calculation method for derivation is correct.
Hoek's Theory is a theory common used for analysis and calculation about wedge.It assumes that every sliding surface is plane and the ratio of total anti-sliding force at the sliding surfaces to total sliding force at the wedge is used to define safety factor.However,the traditional Hoek's Theory does not take seismic force effect into consideration so that the application is limited within the region requiring this concern.Then,the action of seismic force is considered with analysis rationale of limit equilibrium method based on Hoek's Theory and a method calculating wedge stability with consideration of seismic force action is obtained.This method is used to analyze the stability of the slope along Linxiang-Yueyang Highway with the result conforming to the fact,thus it is demonstrated that the calculation method for derivation is correct.
引文
[1]Hoek,E.,Bray,J.W.,Boyd,J.M.The stability of a rock slope containing awedge resting on two intersecting discontinuities[J].Quarterly J.EngineeringGeology,1973,6(1).
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[3]中华人民共和国电力行业标准.GB50011-2001建筑物抗震设计规范(2008年版)[S].北京:中国建筑工业出版社,2001.
[4]郭要红.四面体的一个体积公式——三面角的棱面角公式的一个应用[J].数学通报,2003(7):17.
[5]欧巍.块状岩体高边坡稳定性分析及支护措施研究.西南交通大学学位论文[D].2006.
[6]陈祖煜.岩质边坡稳定分析——原理、方法、程序[M].北京:中国水利水电出版社,2005.
[2]中华人民共和国电力行业标准.SL20-97水工建筑物抗震设计规范[S].北京:中国电力出版社,1997.
[3]中华人民共和国电力行业标准.GB50011-2001建筑物抗震设计规范(2008年版)[S].北京:中国建筑工业出版社,2001.
[4]郭要红.四面体的一个体积公式——三面角的棱面角公式的一个应用[J].数学通报,2003(7):17.
[5]欧巍.块状岩体高边坡稳定性分析及支护措施研究.西南交通大学学位论文[D].2006.
[6]陈祖煜.岩质边坡稳定分析——原理、方法、程序[M].北京:中国水利水电出版社,2005.
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