基础理论与实验研究

基于有限区间联系云的围岩稳定性评价模型

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  • 合肥工业大学 土木与水利工程学院,安徽 合肥 230009
汪明武,男,1972年生,博士,教授,博士生导师,主要从事土工抗震、非饱和土、智能岩土工程及不确定性分析等方面的研究与教学工作

收稿日期: 2015-07-04

  网络出版日期: 2018-06-09

基金资助

国家自然科学基金(No.41172274, No.71273081)。

A novel cloud model coupled with connection number based on finite intervals for evaluation of surrounding rock stability

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  • School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei, Anhui 230009, China

Received date: 2015-07-04

  Online published: 2018-06-09

Supported by

This work was supported by the National Natural Science Foundation of China (41172274, 71273081).

摘要

围岩稳定性评价指标分布具有有限区间分布和等级边界模糊特性。基于联系数理论和云理论的耦合方法,探讨了能考虑指标区间分布特点和级别界限模糊转换特性的围岩稳定性分类联系云模型。首先探讨了有限区间内的联系云模型,以描述有限区间内的围岩稳定性分类指标的模糊性和转换态势,结合样本指标权重和联系概率概念分析实测评价指标对各等级的综合确定度,判定了样本的围岩稳定性级别。实例应用和与其他方法对比分析结果表明,该模型应用于围岩稳定性评价是有效可行的,取得较好效果,且弥补了理想云模型不能整体描述有限区间分布的指标间确定和不确定关系的缺陷,拓广了云模型应用的适应性。

本文引用格式

汪明武,朱其坤,赵奎元,蒋 辉,金菊良 . 基于有限区间联系云的围岩稳定性评价模型[J]. 岩土力学, 2016 , 37(S1) : 140 -144 . DOI: 10.16285/j.rsm.2016.S1.018

Abstract

Evaluation indexes of surrounding rock stability are usually in forms with normal distributions in finite intervals, and their classification boundaries are of fuzzy characteristics. So it is hard to interpret these characteristics using a normal cloud model. A novel cloud model coupled with connection number is described here to take into account of the fuzziness and conversion situation of classification boundary, and interval nature of evaluation indicators for surrounding rock. In the model, the connection cloud model in finite intervals is first discussed. Then combined with index weights, a concept of contact probability is introduced to specify the comprehensive certainty degrees of the measured evaluation indicator to various classification grades. The results from case study and comparison with other methods show that the model proposed is feasible and effective; and it can overcome the shortcomings of inability to simulate quantitatively certainty and uncertainty relationships among indicators of interval distribution form from a unit way, so as to extend serviceability for the cloud model.
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