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扩展简化Bishop法的取矩中心对安全系数的影响
引用本文:张鲁渝,郑颖人.扩展简化Bishop法的取矩中心对安全系数的影响[J].岩土力学,2004,25(8):1239-1243.
作者姓名:张鲁渝  郑颖人
作者单位:后勤工程学院 军事土木工程系,重庆 400041
摘    要:扩展简化Bishop法的提出,为非圆弧滑面安全系数的求解提供了一个简便的途径。然而,在建立滑体总体力矩平衡方程时选择不同的取矩中心会得到不同的计算结果,这在某种程度上限制了该法的应用推广。为此,针对不同类型的滑面(组合滑面、折线滑面),较为系统地研究了取矩中心对安全系数的影响规律,并提出了确定取矩中心的原则。算例分析表明:无论哪种类型的滑面,只要选择合适的取矩中心扩展简化Bishop法便可得到与严格法(Morgenstern-price法)相当的计算精度,且该法数值计算简便,具有较高的实用价值。

关 键 词:Bishop法  边坡稳定  力矩平衡
文章编号:1000-7598-(2004)08-1239-05
收稿时间:2003-06-06
修稿时间:2003年6月6日

Effect of moment axis on safety factors by extended simplified Bishop method
ZHANG Lu-yu,ZHENG Ying-ren.Effect of moment axis on safety factors by extended simplified Bishop method[J].Rock and Soil Mechanics,2004,25(8):1239-1243.
Authors:ZHANG Lu-yu  ZHENG Ying-ren
Institution:Logistical Engineering University, ChongQing 400041, China
Abstract:The extended simplified Bishop method (ESBM) provides another convenient way to calculate the safety factor of non-circular slip. But a new question arises when to format the equations of overall moment equilibrium of the forces acting on each slice, namely, different positions of moment centers can lead to different safety factors. Just so, the application of ESBM is limited. The authors address the question of the effect of the moment centers on safety factor of non-circular slip. Moreover the principle has been suggested to position the moment center in order to obtain relative accurate safety factor. According to analysis of many examples, the results show that it is possible to make the precision of safety factors calculated by ESBM equivalent to that of by rigorous method such as Morgenstern-Price method as long as the moment centers is choose properly.
Keywords:Bishop method  slope stability  moment equilibrium
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