Method for analyzing sliding stability of wedge-shaped body of rock slope based on coordinate system conversion method

Abstract

The invention provides a method for analyzing the sliding stability of a wedge-shaped body of a rock slope based on a coordinate system conversion method, which comprises the following steps of: establishing a three-dimensional geological analysis model of the wedge-shaped body slope by considering various factors such as rock mass structure characteristic parameters and geometric characteristic parameters of a sliding mass and a sliding bed, anchor cable support parameters and the like; deducing a calculation formula of partial size parameters and spatial arrangement parameters of the model by a spatial geometric analysis method, and using a coordinate system conversion method, a tensor analysis method and the like to effectively decompose gravity G borne by a wedge-shaped slope sliding body and pre-tension T under anchor cable three-dimensional support to the normal direction of two groups of sliding surfaces and the sliding direction of the sliding body; calculating the sliding force F < down > and the sliding resistance F < resistance > borne by the wedge-shaped body slope before and after anchoring by a limit equilibrium method, completing a traditional solution formula of the stability coefficient of the wedge-shaped body slope before and after anchoring, so that the stability analysis precision of the wedge-shaped body slope is effectively improved.

Description

technical field [0001] The invention relates to the technical field of geological disaster prevention and control, in particular to a method for analyzing the sliding stability of rock slope wedges based on a coordinate system conversion method. Background technique [0002] Wedge landslide is one of the common failure types of rock slopes. The sliding surface of this type of landslide is composed of two intersecting weak surfaces, which is a relatively complex spatial issue in stability analysis. At present, there are many methods of wedge slope stability analysis, including stereographic projection method, engineering analogy method, block theory method, fuzzy set theory method, integral method, vector analysis method, limit equilibrium method and numerical analysis method. Among them, the limit equilibrium method often uses the ratio of the anti-sliding force generated by the sliding body on the sliding surface to the sliding force (stability coefficient) to judge the sta...

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Problems solved by technology

[0006] It can be seen from the above formula that the current formula for solving the wedge slope stability coefficient still has the following incompleteness: ① The space geometry analysis of the wedge slope generalization model is not systematic and complete, and the angle between the intersection line of the two sliding surfaces and the horizontal plane β, Sliding body top (ΔABC) area S ΔABC And the contact area S between the two sliding surfaces and the sliding bed 1 with S 2 The solution formula needs to be further specified; ②In practical engineering applications, the angle between N and the normal direction of the two sliding surfaces θ 1 and θ 2 It is very difficult to solve the sliding gravity G to the normal direction of the two sliding surfaces, and there is a certain error in the solution result, which will lead to the inaccurate solution result of the wedge slope stability coefficient

[0007] In addition, at present, when rock slopes are supported by anchor cables, the two-dimensional reinforcement method is mainly adopted in which the reinforcement direction is perpendicular to the slope direction, and the analysis of the stability of the anchored slope is also based on the two-dimensional support method. Applying its results directly to the wedge slope is difficult to exert the best anchoring performance of the anchor cable, resulting in an increase in the cost of slope support

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