An iterative solution method for three-dimensional slope safety factor based on the lower bound theorem of limit analysis

A safety factor and slope technology, which is applied in the field of evaluating the stability of geotechnical engineering slopes and solving the three-dimensional slope safety factor with an iterative algorithm, which can solve the problems of difficulty in calculating the three-dimensional slope safety factor.

Active Publication Date: 2021-11-02
CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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Problems solved by technology

In order to overcome the shortcomings of the limit equilibrium method, in recent years, many scholars have explored the combination of the limit analysis theory of plastic mechanics and finite elements, and proposed a three-dimensional slope stability analysis method based on an optimization algorithm. However, due to the highly nonlinear nature of the optimization equation, It makes it very difficult to calculate the three-dimensional slope safety factor

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  • An iterative solution method for three-dimensional slope safety factor based on the lower bound theorem of limit analysis
  • An iterative solution method for three-dimensional slope safety factor based on the lower bound theorem of limit analysis
  • An iterative solution method for three-dimensional slope safety factor based on the lower bound theorem of limit analysis

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[0018] The present invention is further illustrated below in conjunction with the accompanying drawings. It should be understood that these drawings and examples are only used to illustrate the present invention and are not intended to limit the scope of the present invention. After reading the present invention, those skilled in the art will understand various equivalent forms of the present invention All modifications fall within the scope defined by the appended claims of the present application.

[0019] In order to reduce the nonlinearity of the optimization equation in the current 3D slope stability analysis and improve the calculation accuracy and scope of application of the 3D slope stability calculation method based on the lower bound theorem of limit analysis, such as figure 1 As shown, the present invention proposes a three-dimensional slope safety coefficient iterative solution method based on the limit analysis lower bound theorem, which includes the following step...

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Abstract

The invention discloses a three-dimensional slope safety factor iterative solution method based on the lower limit theorem of limit analysis. The method takes the magnitude, direction and action point of the block interface force as the main variables to satisfy the lower limit theorem of the limit analysis to allow the static field The required static balance and yield criterion are constrained conditions, and the slope stability analysis problem is transformed into a nonlinear optimization problem for solving the maximum value of the safety factor; at the same time, the transition variable critical acceleration coefficient η is introduced to reduce the height caused by the strength reduction factor F Non-linear; use the dichotomy method to iteratively obtain the corresponding reduction coefficient when η=0, which is the required safety factor. The invention provides an efficient means for the three-dimensional stability analysis of the actual complex slope engineering.

Description

technical field [0001] The invention relates to a method for evaluating the stability of a geotechnical engineering slope, in particular, the invention relates to a method for solving a three-dimensional slope safety factor through an iterative algorithm according to the lower limit theorem of limit analysis. The invention belongs to the field of limit analysis of slope stability in geotechnical engineering. Background technique [0002] At present, in the field of slope stability analysis, due to the lack of mature and effective three-dimensional analysis methods, the three-dimensional slope stability analysis is usually considered as a plane problem, and the spatial effect of the actual project is ignored. This approach is acceptable in most cases, but for some three-dimensional slopes with huge scale and significant spatial effects, it is obviously inappropriate to use two-dimensional analysis methods. [0003] Many scholars at home and abroad have tried to apply the ide...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/13G06F30/20
CPCG06F30/20G06F30/13
Inventor 汪小刚林兴超王玉杰赵宇飞孙平姜龙皮进张强刘立鹏曹瑞琅段庆伟冷合勤
Owner CHINA INST OF WATER RESOURCES & HYDROPOWER RES
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