Rock slope anchoring calculation method based on safety and economy multi-objective optimization

Abstract

The invention discloses a rock slope anchoring calculation method based on safety and economy multi-objective optimization. The rock slope anchoring calculation method comprises the following steps: step 1, drawing up calculation parameters of a rock slope; step 2, carrying out stress analysis on the rock slope; step 3, establishing a dual-objective function of rock slope safety and economy; step4, establishing a rock slope safety and economy multi-objective optimization nonlinear mathematical programming model which uses the double-objective function and combines rock balance equation constraint conditions, structural surface yield conditions and anchor rod additional constraint conditions at the same time; step 5, constructing an evaluation function by using a weighted sum method, and converting the nonlinear mathematical programming model for solving the multi-objective optimization into a nonlinear mathematical programming model for solving the single-objective optimization; and solving the model by using a penalty function method of nonlinear programming to obtain a safety coefficient and an anchoring cost which meet the optimal safety and economy at the same time, and an optimal anchoring angle. According to the method, the unification of economy and safety is achieved.

Description

Technical field [0001] The invention relates to a rock slope anchoring calculation method based on safety and economic multi-objective optimization, and belongs to the technical field of rock slope stability analysis. Background technique [0002] In recent years, the stability of rock slopes has received widespread attention. Joints and faults in rock slopes are usually the main reasons for rock slope failures. In engineering practice, prestressed anchors are usually used for reinforcement. The prestressed anchor rod is a reinforcement measure in which the outer anchor head is stretched after being fixed by the inner anchoring section, and the tensile stress of the prestressed wire is applied to the rock mass or structure. In actual engineering, in order to ensure the safety of the project, a more conservative anchoring design is usually adopted. Although the safety is guaranteed, the economy is insufficient. "Technical Code for Geotechnical Anchor and Shotcrete Support Enginee...

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Problems solved by technology

[0004] (1) In engineering practice, the safety is usually guaranteed but the economy is relatively insufficient;

[0005] (2) Using the calculation method of the optimal anchorage angle given by the code, the safety and economy cannot be guaranteed to be optimal;

[0006] (3) Anchorage calculation is essentially a multi-objective mathematical programming problem that seeks the best possible anchoring effect and the lowest possible anchoring cost at the same time. At present, there is no good method for comprehensive consideration;

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