考虑埋深的黏性回填挡墙抗震转动稳定性上限分析

    Upper-bound limit analysis of seismic rotational stability of retaining walls with cohesive backfill considering embedment depth

    • 摘要: 在挡土墙抗震稳定性的研究中,往往假定墙体的埋深为零,导致墙前回填土的作用被忽略。基于极限上限分析理论,考虑了埋深因素对黏性回填挡土墙抗震稳定性的影响。采用斜条分法,将墙前与墙后的回填土微分成平行于破裂面的刚性土条。建立了挡土墙绕墙趾转动,墙前与墙后填土分块滑动的墙-土系统。根据功-能平衡方程,推导了挡墙抗震加速度系数的表达式,讨论了地震作用下的填土高度、内摩擦角、填土黏聚力、墙-土摩擦角对挡土墙抗震转动稳定性的影响。结果表明:当墙前回填土高度与墙后回填土高度比值(H2/H1)大于0.15时,地震屈服加速度系数将急剧增大,此时若忽略墙前回填土的作用则会低估挡土墙的抗震稳定性。最后,通过与极限平衡理论的方法进行对比,证实了该方法计算的准确性。

       

      Abstract: For most researches on the seismic stability of retaining walls, the embedment depth of the wall is often assumed to be zero, resulting in the role of backfill in front of the wall being neglected. Based on the theory of the upper bound limit analysis, the impact of embedment depth on the seismic stability of retaining walls with cohesive backfill is investigated. The diagonal slice method is employed to differentiate the backfill in front of and behind the wall into rigid soil slices parallel to the rupture surface. A wall-soil system in which the retaining wall rotates around the toe of the wall and the fill in front of and behind the wall slides in pieces is established. According to the work-energy balance equation, the expression for the seismic acceleration coefficient of the retaining wall is derived, and the effects of filling height, internal friction angle, filling cohesion and wall-soil friction angle on the seismic rotational stability of the retaining wall under seismic action are discussed. The results show that when the ratio of the height of backfill in front of the wall to the height of backfill behind the wall (H2/H1) is greater than 0.15, the coefficient of seismic yield acceleration will increase dramatically, and the seismic stability of the retaining wall will be underestimated if the effects of backfill in front of the wall are neglected at this time. Finally, the accuracy of the proposed method is confirmed by comparing with the method of the limit equilibrium theory.

       

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