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Calculation Method of Safety Factor of Arbitrary Polyhedral Wedge Based on Lower Bound Theorem of Limit Analysis

A safety factor and wedge-shaped technology, which is used in the field of mechanics to evaluate the stability of any multi-faceted wedge-shaped body, can solve the problems of conservative slope engineering, danger, and wrong judgment of designers, and achieve the effect of good applicability.

Active Publication Date: 2021-02-12
CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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Problems solved by technology

However, in some special cases, these assumptions may violate the basic principles of solid mechanics, such as yield criteria and equilibrium conditions, leading to wrong analysis results, leading to wrong judgments by designers, making the designed slope engineering too conservative or partial Danger

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  • Calculation Method of Safety Factor of Arbitrary Polyhedral Wedge Based on Lower Bound Theorem of Limit Analysis
  • Calculation Method of Safety Factor of Arbitrary Polyhedral Wedge Based on Lower Bound Theorem of Limit Analysis
  • Calculation Method of Safety Factor of Arbitrary Polyhedral Wedge Based on Lower Bound Theorem of Limit Analysis

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[0048] The present invention is further clarified below in conjunction with the accompanying drawings. After reading the present invention, modifications to various equivalent forms of the present invention by those skilled in the art all fall within the scope defined by the appended claims of the present application.

[0049]Wedge failure is one of the main failure forms of rock mass engineering (such as high slopes, underground caverns, etc.), and its stability analysis is the premise and basis for wedge protection, treatment, and early warning, which is directly related to the entire rock mass engineering. safety.

[0050] Such as figure 1 As shown, the method for solving the factor of safety of any polyhedron wedge based on the lower bound theorem of limit analysis provided by the present invention is:

[0051] S1: Determine the spatial geometric characteristics of any polyhedral wedge and the boundaries of the wedge, and generate an arbitrary polyhedral wedge model.

[...

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Abstract

The invention discloses a method for solving the safety factor of any polyhedral wedge based on the lower bound theorem of limit analysis. First, the spatial geometric characteristics of the wedge and the boundaries of the wedge are determined to generate a wedge model; then, according to the characteristics of the lower bound theorem of limit analysis, combined Wedge material properties, establish the variable system based on the boundary of the wedge; establish the constraint equation according to the basic conditions of the lower limit theorem of limit analysis, and derive the optimization algorithm expression of the lower limit solution method of the wedge limit analysis; finally, through the optimization algorithm expression, solve the wedge body safety factor to evaluate wedge stability. According to the lower bound theorem of limit analysis, the present invention does not introduce any assumptions, obtains the optimal solution through an optimization method, and truly and objectively reflects the safety and stability of the wedge; in addition, the method is not limited by the boundary shape and quantity of the wedge , has better applicability and can adapt to more complex wedge stability analysis problems.

Description

technical field [0001] The present invention relates to a method for evaluating the stability of any polyhedral wedge in rock mechanics. Specifically, the present invention relates to a method for establishing a constraint equation based on the variable system that forms the boundary of any polyhedral wedge and according to the basic conditions of the limit analysis lower limit theorem , deduce the optimization algorithm expression of the lower limit solution method of limit analysis of any polyhedral wedge, and use the optimization algorithm expression to solve the method of safety factor of any polyhedral wedge. The invention belongs to the field of rock mechanics wedge limit analysis. Background technique [0002] Wedge failure is one of the main failure forms of rock mass engineering (such as slopes, underground caverns, etc.), and its stability analysis is the premise and basis for wedge protection, treatment, and early warning, which is directly related to the entire r...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/20
CPCG06F30/20
Inventor 汪小刚凌永玉林兴超王玉杰赵宇飞孙平冷合勤姜龙皮进张强刘立鹏曹瑞琅段庆伟
Owner CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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