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浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (9): 1825-1830    DOI: 10.3785/j.issn.1008-973X.2010.09.031
交通运输、一般工业技术     
盾构任意衬砌变形边界条件下复变函数弹性解
童磊1,2,谢康和1,卢萌盟1,王坤1
1.浙江大学 软弱土与环境土工教育部重点实验室,浙江 杭州 310058；2.浙江省建筑设计研究院,浙江 杭州 310006
Elastic complex variables solution for general arbitrary ground
deformation of tunnels in clays
TONG Lei1,2, XIE Kang-he1, LU Meng-meng1, WANG Kun1
1.MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China;
2.Zhejiang Province Institute of Architectural Design and Research, Hangzhou 310006, China
 全文: PDF 
摘要：

在Verruijt基本解法的基础上,假定Sagaseta通用变形模式为隧洞周边边界条件,推导了任意衬砌变形边界条件下复变函数弹性解答.利用复变函数解决孔口问题的基本方法,采用Mobius共形映射变换，将带孔口半无限空间映射为复平面下圆环域,该域下解析函数以Laurent级数展开,根据Muskhelishvili解法和给定边界条件,求得应力场和位移场.在此基础上分析了各分量对竖向位移和水平位移的影响,结果表明:衬砌椭圆化变形对位移场的影响远大于衬砌竖向沉降对位移场的影响.
关键词： 复变函数;  沉降;  水平位移;  任意衬砌变形;  弹性解    
Abstract:

Based on Verruijt method, an arbitrary ground deformation pattern founded by Sagaseta was assumed as the displacement boundary condition around the tunnel section. Using Mobius conformal mapping transformation, the elastic half plane with a hole was mapped conformally onto a ring on the complex plane. Then the analytic functions were expanded as Laurent series in this region. The stresses and displacements under given displacement were solved by the complex method founded by Muskhelishvili, and a solution for arbitrary deformations around a circular tunnel was deduced. By the case studies, the influences of distortion and vertical translation on surface settlement and horizontal displacement were investigated. The results indicate that liner distortion has greater effect on soil deformation than vertical translation.
Key words: complex variable    settlement    lateral displacement    arbitrary ground deformation    elastic solution
出版日期: 2010-10-10
:  U 451.2  
通讯作者: 谢康和，男，教授.     E-mail: zdkhxie@zju.edu.cn
作者简介: 童磊（1983-），男，浙江定海人，博士生，从事软土地基的地下工程研究.E-mail：zstonglei@126.com
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引用本文:

童磊, 谢康和, 卢萌盟, 王坤. 盾构任意衬砌变形边界条件下复变函数弹性解[J]. J4, 2010, 44(9): 1825-1830.

TONG Lei, XIE Kang-He, LEI Meng-Meng, WANG Kun. Elastic complex variables solution for general arbitrary ground
deformation of tunnels in clays. J4, 2010, 44(9): 1825-1830.

链接本文:

http://www.zjujournals.com/xueshu/eng/CN/10.3785/j.issn.1008-973X.2010.09.031    或    http://www.zjujournals.com/xueshu/eng/CN/Y2010/V44/I9/1825

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