Fuzzy mathematics method for theoretical analysis of ground movements due to underground excavation

Li Wenxiu
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Abstract

The analysis of the rock mass movements due to excavation operations is one of the many important problems of rock mass mechanics. It is difficult to calculate the ground movements due to underground excavation accurately because of the complexity of the problem.

In this paper, the application is described of the fuzzy probability measures to the analysis of ground movements. Based on the definition of the fuzzy probability measure, the theories for both the two-dimensional and three-dimensional problems are developed and are applied to the analysis of ground movements due to underground excavation.

地下开挖引起的地面运动的模糊数学理论分析
开挖引起的岩体运动分析是岩体力学的重要问题之一。由于问题的复杂性,准确计算地下开挖引起的地面运动是很困难的。本文介绍了模糊概率测度在地面运动分析中的应用。基于模糊概率测度的定义,建立了二维和三维问题的理论,并将其应用于地下开挖引起的地面运动分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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