抽水导致的地层对数型沉降造成的地埋梁变形和内力的解析解及有限差分解  

THE ANALYTICAL SOLUTION AND FINITE-DIFFERENCE SOLUTION OF INTERNAL FORCES AND DEFORMATION DUE TO LOGARITHMIC SUBSIDENCE OF BURIED BEAMS CAUSED BY DEWATERING

作　　者：杨建民[1,2] 王林杰 YANG Jianmin;WANG Linjie(School of Civil Engineering,Tianjin University,Tianjin 300350,China;Key Laboratory of Coast Civil Structure Safety(Tianjin University),Ministry of Education,Tianjin 300350,China)

机构地区：[1]天津大学建筑工程学院土木工程系,天津300350 [2]滨海土木工程结构与安全教育部重点实验室(天津大学),天津300350

出　　处：《工业建筑》2020年第6期98-104,共7页Industrial Construction

基　　金：天津大学北洋学者-青年骨干教师计划资助项目。

摘　　要：抽取地下水导致的地层沉降会对市政管道、地下管廊和地铁隧道等地埋梁造成损伤。随着时间的增长和抽水量的累加,损伤逐渐增大直至影响结构安全。基于对数型地层沉降曲线算式和弹性地基梁理论,推导得到对数型地层沉降作用下地埋梁的变形及内力解析解,并应用有限差分法推导得数值解。算例显示解析解与有限差分数值解结果相近,并得到PLAXIS 3D有限元软件计算验证。应用解析解对地埋梁变形和内力的影响参数进行分析,得出反映地层沉降漏斗陡缓程度的曲线斜率对地埋梁影响最大,降低沉降漏斗坡度可以减小对地埋梁的损害。Stratum subsidence due to dewatering will cause damage to buried beams such as municipal pipelines,underground pipe galleries and subway tunnels.With the increase of time and dewatering,the damage of being gradually aggravated will affect the safety.Based on the formula of logarithmic stratum settlement curve and the theory of elastic foundation beam,the analytical solutions for deformation and internal forces of buried beams were deduced,and a numerical solution was the obtained by the finite difference method.The results of examples showed that the analytical solution was much in accord with the numerical solution.These two solutions were verified by the calculating results of PLAXIS 3D FEM.The analytical solution was used to analyze the effect of parameters on deformation and internal forces of buried beams.The slope of the stratum subsidence funnel had the greatest effect on buried beams.Reducing the stratum subsidence funnel grade could reduce the damage to buried beams.

关 键 词：对数型沉降 地层沉降 地埋梁 变形 内力 

分 类 号：TU433[建筑科学—岩土工程]