基础理论与实验研究

基于尖点突变理论的浆砌块石边坡稳定性研究

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  • 大连理工大学 工业装备结构分析国家重点实验室,辽宁 大连 116024
宋鑫华,男,1989年生,博士,主要从事爆炸力学、岩土工程等研究工作。

收稿日期: 2014-12-10

  网络出版日期: 2018-06-09

基金资助

国家自然科学基金资助项目(No.10872044,No.10972051,No.11672068)。

Analysis of stability of masonry slope based on cusp catastrophe theory

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  • State Key Laboratory of Structure Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, China

Received date: 2014-12-10

  Online published: 2018-06-09

Supported by

This work was supported by the National Natural Science Foundation of China (10872044, 10972051, 11672068).

摘要

根据影响浆砌块石挡土墙边坡稳定性的主要控制变量:挡土墙的垂直度i、挡土墙高度h、填料的内摩擦角 、墙后边坡土的重度 、土对挡土墙基底的摩擦系数 、土对挡土墙墙背的摩擦角 等6个因素变量,利用正交设计原理优化试验设计方案,结合库仑理论与力的多边形法,分析计算浆砌块石挡土墙边坡的安全系数,最后用尖点突变理论的突变级数法进一步判断边坡的稳定性。研究结果表明:影响挡土墙边坡稳定性的6个主要控制变量因素的主次关系为 ;在分析挡土墙边坡稳定性时,采用突变级数法进行计算判断,可以直观地判断边坡的稳定情况,从而弥补工程中运用传统的最小安全系数法进行判断出现的模糊不确定的情况。

本文引用格式

宋鑫华,闫鸿浩 . 基于尖点突变理论的浆砌块石边坡稳定性研究[J]. 岩土力学, 2016 , 37(12) : 3499 -3505 . DOI: 10.16285/j.rsm.2016.12.019

Abstract

The main control variables affecting the slope stability of stone masonry retaining wall are the verticality of retaining wall i, height of retaining wall h, angle of internal friction of filler , unit weight of slope soil behind the wall , friction coefficient between the soil and the retaining wall base , friction angle between the soil and retaining wall back . In this study, the optimal orthogonal experimental design is constructed, the safety factor of stone masonry retaining wall is calculated based on Coulomb theory and the force polygon method. The slope stability is further evaluated using the cusp catastrophe theory of catastrophe. The results show that six major factors controlling slope stability of retaining wall are in an order of h, , , , I, based on their importance. In analyzing slope stability of retaining wall, slope stability can be evaluated by the mutation progression method, minimizing the effect of uncertainty in employing the traditional minimum safety factor method to evaluate the slope stability.
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