地下矩形洞室应力分布的复变函数解  

A Semi-Analytical Elastic Stress Solution for Perimeter Stresses of Rocks Around a Rectangular

作　　者：王振武[1] 牛铮铮[1] 冯秀苓[1] 

机构地区：[1]北华航天工业学院建筑工程系,河北廊坊065000

出　　处：《北华航天工业学院学报》2010年第4期1-6,共6页Journal of North China Institute of Aerospace Engineering

摘　　要：为了解决矩形洞室稳定性问题,利用复变函数在处理复杂形状边界方面的优势,对矩形洞室问题进行应力分析。计算得出矩形洞室围岩应力集中系数,并对矩形洞室不同高长比条件下应力变化规律,远场不同应力比情况下洞室围岩的应力变化规律进行研究,研究结果表明:随着应力比的增加,与最大主应力方向垂直的顶板和底板的应力集中系数线性增加,与最小远场应力方向垂直的边墙应力集中系数线性减小;随着洞室几何高长比的增大,洞室顶板和底板的应力集中系数线性增加,边墙应力集中系数线性减小。研究对地下工程的稳定性分析及支护设计具有指导意义。For the sake of researching the influence of the load bearing capacity for underground rectangular chambers.We calculate the surrounding stress distribution of the rectangular chambers by complex function.The stress distribution and the coefficients of stress concentration on boundary of openings are obtained when height and width ratio and stress ratio are altered.The result declares：the coefficients of stress concentration of roof is increasing and the coefficients of stress concentration of wall is reducing while stress ratio is increasing.The coefficients of stress concentration of roof is increasing and the coefficients of stress concentration of wall is reducing while height and width ratio is increasing.The practical significance of the study lies in the fact that it can be used as guiding sense to the rectangular chambers excavates,the supports and protections plan characteristic and the principle.

关 键 词：矩形洞室 保角映射 复变理论 应力集中 

分 类 号：TU12[建筑科学—建筑理论]