Arbitrary polyhedral wedge-shaped body safety factor solving method based on limit analysis lower limit theorem

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: 2019-08-09
CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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However, in some special cases, these assumptions may violate the basic principles of solid mechanics, such as yield criteria and equilibrium condition

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  • Arbitrary polyhedral wedge-shaped body safety factor solving method based on limit analysis lower limit theorem
  • Arbitrary polyhedral wedge-shaped body safety factor solving method based on limit analysis lower limit theorem
  • Arbitrary polyhedral wedge-shaped body safety factor solving method based on limit analysis lower limit theorem

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Embodiment Construction

[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 an arbitrary polyhedral wedge-shaped body safety factor solving method based on a limit analysis lower limit theorem. The method comprises the following steps: firstly, determining spatial geometrical characteristics of a wedge-shaped body and boundaries forming the wedge-shaped body, and generating a wedge-shaped body model; secondly, establishing a variable system based on the composition of the wedge boundary according to the characteristics of the limit analysis lower limit theorem and the characteristics of the wedge material; establishing a constraint equation according to basic conditions of a limit analysis lower limit theorem, and deducing an optimization algorithm expression of a wedge limit analysis lower limit solution; and finally, through an optimization algorithm expression, solving the wedge-shaped body safety coefficient, and evaluating the wedge-shaped body stability. According to the limit analysis lower limit theorem, no assumption is introduced, the optimal solution is obtained through the optimization method, and the safety and the stability of the wedge-shaped body are truly and objectively reflected. In addition, the method is not limited by the boundary shape and the number of the formed wedge bodies, has better applicability and can adapt to more complex wedge body 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...

Claims

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Application Information

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IPC IPC(8): G06F17/50
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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