%0 Journal Article
%T 瑞典圆弧法水平条分模型的误差分析<br>Error Analysis of a Horizontal Slice Model Using the Swedish Arc Method
%A 卢玉林
%A 薄景山
%A 陈晓冉
%J 地震工程学报
%D 2017
%R 10.3969/j.issn.1000-0844.2017.03.0496
%X 根据瑞典条分法忽略条间力的假设，建立3类边坡破坏模式的计算模型，以水平土条划分为依据得到积分形式下的边坡稳定性解析式。与5个算例对比表明，水平条分的积分解形式简单，计算的稳定性系数偏小，与Bishop法最大偏差不超过13%，说明水平条分可获得较为安全的稳定性系数。水平条分法结果偏小主要原因在于没有考虑条间力，土条只满足力矩的平衡，而不能保证力的平衡。水平土条周身力与竖直土条不同，重力产生的下滑力与抗力到圆心的距离不同，因此在不满足力平衡的基础上会放大下滑力矩，导致整体稳定性系数偏小，由此可知水平条分法是稳定性系数的下限解。水平条分法的优势在于计算区间少，对竖向划分层次多的土体适用，因此在评价边坡稳定性方面仍具有实用价值。<br>Slope stability is an important research field, and the Swedish arc method is a traditional calculation method used in soil engineering. In this study, three calculation models of slope failure were constructed based on the assumption of the non-existence of inter-slice force. Then, the analytical formula of slope stability was obtained by dividing the horizontal soil slice using the integral form. Upon comparing the results of the five examples, we find that the solution of the horizontal integral form was less complex and that the slope stability factor was lower, unlike others, but the maximum error was not more than 13% compared with the Bishop method. These findings indicate that the horizontal slice model can obtain a relatively safe stability factor compared with other methods. Furthermore, the inter-slice force can be used to simplify the calculation. The stability factor was also smaller, because the moment was balanced but not the force in the soil slice. In the horizontal slice model, the distances of the arm were not the same between the sliding forces produced by gravity and resistance, thus leading to an error in the slope stability analysis. Then, the sliding moment is amplified, finally leading to a smaller stability factor, which can be calculated by the horizontal slice method with integral form in the lower bound. However, in the vertical slice model, the calculation of the stability factor can be simplified as the ratio of sliding force to resistance. Such a failure to consider the arm, however, can lead to minor errors. For both the horizontal and the vertical slice model, the calculation of the common points was simplified by not considering the inter-slice force. As long as the geometric and boundary conditions are clear, then the analytical solution of the stability factor can be obtained. The main advantage of the horizontal slice method with integral form is that the calculation interval is smaller and it can be applied to multi-layer soils than the vertical slice method. Therefore, the proposed method has significance in evaluating the slope stability and can also provide a new idea to calculate the complex slope in the field of practical engineering.
%K 边坡稳定性
%K 瑞典圆弧法
%K 水平条分
%K 误差分析&lt
%K br&gt
%K slope stability
%K Swedish method
%K horizontal slice model
%K error analysis
%U http://dzgcxb.ijournals.cn/ch/reader/view_abstract.aspx?file_no=20170314&flag=1