Stability analysis of statically indeterminate blocks in key block theory and application to rock slope in Jinping-I Hydropower Station
Stability analysis of statically indeterminate blocks in key block theory and application to rock slope in Jinping-I Hydropower Station
复制标题
锦屏一级水电站岩质边坡关键块体理论及应用中超静定块体稳定性分析
DOI：
10.1016/j.enggeo.2014.09.012
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发表时间：
2015-02
影响因子：
7.4
通讯作者：
Yaoying Huang
中科院分区：
文献类型：
--
作者：
Guanhua Sun;Hong Zheng;Yaoying Huang
利用块体理论中的可移性分析，可以很容易地确定所有可移动的块体。然而，只有结构面不超过两个的活动块体，即静定块体，才能通过静力分析确定安全系数，这就限制了关键块体理论的更广泛应用。为了分析具有多个结构面的一般活动块体，建立了求解块体安全系数的优化模型。该模型以安全系数和滑动面上的法向应力为自变量，以安全系数为目标函数。静力容许条件包括平衡方程组、滑动面上的法向应力和块体内部推力的非负性。由于目标函数是线性的，约束函数是不超过2次的多项式，因此它的非线性弱，可以用传统的优化技术来求解，克服了传统块理论的缺点。通过对典型算例的测试，对锦屏一级水电站左岸岩质边坡的稳定性进行了详细的分析，并用该方法系统地研究了开挖对边坡稳定性的影响。
Using the movability analysis in block theory, one can easily determine all movable blocks. However, only for a movable block with no more than two structural surfaces, called the statically determinate block, can the factor of safety be determined by the static analysis, which limits more extensive application of key block theory. In order to analyze general movable blocks with multiple structural planes, an optimization model for solving the safety factor of blocks is built in this paper. In the model, the safety factor as well as the normal stress on the slip surface is taken as independent variables; and the objective function is specified as the safety factor alone. The statically admissible conditions include the system of equilibrium equations, non-negativity of both normal stress on the slip surface and thrust inside the block. Since the objective function is linear and the constraint functions are polynomials of no more than degree-2, it is weak in nonlinearity and can be solved by those conventional optimization techniques, and disadvantages of the conventional block theory are overcome. After some typical examples are tested, the stability of the left bank rock slope of Jinping-I Hydropower Station is conducted in detail, and the stability evolution due to excavation is systematically studied by this method.
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影响因子：
5.8
作者：
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通讯作者：
B. Satyanarayana
DOI：
10.1061/(asce)1090-0241(1998)124:11(1049
发表时间：
1998-11
影响因子：
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DOI：
10.1061/(asce)1090-0241(2003)129:2(105
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2003-01
影响因子：
3.9
作者：
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影响因子：
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作者：
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