求解边坡矢量和安全系数的三维条分法

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摘要将潜在滑体划分成条柱，在对各条柱间力及条柱底滑面抗滑力合理假定的基础上，对条柱及滑体进行静力平衡分析，求解出各条柱的抗滑力和作用在底滑面的法向力，运用矢量和安全系数的定义，提出一种求解边坡实际受力状态的矢量和安全系数的三维条分法。算例分析表明，对于单一平面滑面或对称滑面矢量和安全系数三维条分法与相应于条间力假定的强度折减的三维极限平衡方法计算结果一致。当边坡的滑面为一般情况时，矢量和安全系数比相应于条间力假定的强度折减法的结果都要略小。

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关键词 ：边坡工程, 边坡稳定分析, 静力平衡, 矢量和安全系数

Abstract：Through dividing the potential sliding body into slices and introducing several reasonable assumptions to forces acting between columns，the static equilibrium analysis is conducted for the columns and the sliding body，and the anti-sliding forces between columns and the normal force acting on sliding surface are thus calculated. On the basis of the definition of the vector sum factor of safety，a three-dimensional method of columns is proposed. It is indicated through some examples that for planar sliding surfaces and symmetrical sliding surfaces the factor of safety based on the definition of vector sum is in agreement with that based on the strength reduction. If the sliding surface is more complicated，the former is usually less than the latter.

Key words： slope engineering analysis of slope stability static equilibrium vector sum factor of safety

收稿日期: 2010-03-03

引用本文:

罗先启1，袁恒2. 求解边坡矢量和安全系数的三维条分法[J]. 岩石力学与工程学报, 2011, 30(S1): 2865-2870.
LUO Xianqi1，YUAN Heng2. SOLUTION OF VECTOR SUM FACTOR OF SAFETY OF SLOPE BY THREE-DIMENSIONAL METHOD OF COLUMNS. , 2011, 30(S1): 2865-2870.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/IS1/2865

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