Bishop法的简化计算假设对边坡安全系数的影响  

Influences of Simplified Assumptions of Bishop Method on Slope Safety Factor

作　　者：黄彬彬[1] 陈征宙[1] 王双[1] 胡谢飞[1] 

机构地区：[1]南京大学地球科学与工程学院,南京210093

出　　处：《防灾减灾工程学报》2013年第4期418-423,共6页Journal of Disaster Prevention and Mitigation Engineering

摘　　要：应用条分法计算边坡安全系数时,为方便运算,会对某些计算条件做出简化。本文以简化Bishop法作为安全系数求解方法,通过设计的比较方案,讨论了条块重心简化、地震力施加方式简化对安全系数的影响,还分析了竖向地震力施加方向的问题。研究结果表明:①条块重心简化对安全系数的影响极小,可以忽略;②地震力施加方式简化时,误差总体上随着边坡坡率变小、滑弧圆心角变大而逐渐减小,随着坡高变高、地震设计烈度变大而增大,粘聚力和内摩擦角的变化对误差基本不产生影响;③竖向地震力方向的选取主要与地震设计烈度相关,在同一地震烈度下,坡高改变了施加方向改变时的参数临界值。It is common to simplify some calculation conditions when applying slice method to calculate the factor of safety of a slope.In this paper,the influences of the simplification of slice gravity center and seismic load imposition on the factor of safety are discussed by several design projects via the Bishop method.The applied direction of vertical seismic load is also considered.The results show that：（1）The influence of the simplification of slice gravity center on safety factor can be neglected.（2）When considering the simplification of the imposition of seismic load,the deviation generally decreases with slope ratio reducing and central angle increasing of the slip surface.On the contrary,the increase of the height of the slope and the design earthquake intensity has negative effects on the deviation.Besides,the variation of cohesion and internal frictional angle has little influence on deviation.（3）The selection of vertical seismic force direction mainly depends on designed seismic intensity.The slope height further affects the critical parameter values of direction changing at the same earthquake intensity level.

关 键 词：条分法 BISHOP法 重心简化 地震力施加方式 竖向地震力 误差分析 

分 类 号：O353.1[理学—流体力学] TU81[理学—力学]