摘要
结合复变函数理论求解弹性力学平面带孔洞问题的优势,以及交替法简单的重复循环计算步骤,成功地解决了半无限平面内双孔平行圆形隧道开挖的弹性问题,并且借助于计算机编程,获得了隧道开挖后围岩的应力场和位移场。从附加面力的逼近精度、迭代计算的收敛度以及洞周位移三个不同的方面,对计算精度进行了讨论。此外,通过工程实例分析,将现场实测的单孔和双孔隧道施工后产生的地表沉降值与理论计算结果相比较,发现两者吻合较好,其中地表产生的最大沉降值的计算结果与实测值的误差不超过5%。
The derivation of an explicit analytical solution is presented to calculate the stress and displacement fields due to the excavation of twin-parallel tunnels in a homogeneous elastic half plane.The solution,which is achieved successfully by the program with computer,is based on the advantage of the complex variables for solving the problems of the plane with hole and the simple repeated calculation steps of alternating method.The calculation precision is discussed from three different aspects of the approximation accuracy of additional surface force,the convergence degree of the iterative calculation and the displacement of tunnel boundary.Furthermore,the method is applied to a practical tunnel engineering.It is found that the calculated results of the surface displacements caused by excavation of a tunnel and twin tunnels agree with the measured results.The discrepancy of the maximum surface displacements between the analytical solution and the field measurement is less than 5%.
出处
《岩土工程学报》
EI
CAS
CSCD
北大核心
2011年第3期413-419,共7页
Chinese Journal of Geotechnical Engineering
基金
教育部新世纪优秀人才支持计划项目(NCET-09-0569)
长沙理工大学桥梁与隧道工程重点学科基金项目
关键词
双孔平行隧道
交替法
复变函数
应力场
位移场
twin-parallel tunnel
alternating method
complex variable
stress field
displacement field
