三种边坡安全系数计算方法对比研究

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Abstract In view of the widespread use of the limit equilibrium method and the strength reduction finite element method(FEM) for calculating the slope factor of safety，the gravity proportion automatic loading method based on changing the gravitational acceleration is proposed；and the advantages and disadvantages are pointed out by comparing their computation principles and results of each method. The analytical results indicate that the slope factor of safety calculated by using the gravity proportion automatic loading method increases much more rapidly than that using the strength reduction FEM，and it is also higher than the result calculated by limit equilibrium method to a certain extent. The factor of safety calculated by the gravity proportion automatic loading method is the most sensitive to the slope geometry variation，so it is superior to the other two methods on quantization of the slope factor of safety. When the single-layered slope angle is less than 45°，the limit equilibrium method is the best. If adopting the FEM methods，the layering process of the slope is needed. For three-layered slopes，the limit equilibrium method and the gravity proportion automatic loading method are recommended，the strength reduction FEM is not suitable. In addition，the calculating time for the limit equilibrium method is the shortest. For five-layered slopes，the calculating time for the strength reduction FEM is 10 times of the gravity proportion automatic loading method；and the discrepancy has a improving tendency with the increase in the slope layer number.

Key words： slope engineering limit equilibrium method strength reduction method gravity proportion automatic loading method slope geometric condition

Received: 14 January 2010

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http://www.rockmech.org/EN/Y2011/V30/IS1/2896

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