摘要
在流变岩土体中进行并行双线隧道施工时,隧道施工过程、布置方式对应力、位移的时空分布有显著影响。针对粘弹性岩土体中双向不等的应力作用下的双圆形隧洞顺序施工问题,本文推导得到了各施工时段开挖增量位移和应力的理论解。推导中利用Laplace变换给出粘弹性解答与弹性复位势的关系,并根据各时段受力情况,应用粘弹性叠加关系导出最终解答。理论解与相同条件下有限元解进行了比对,结果吻合得较好。根据解答分析了两隧道空间布置方式对应力和位移的影响,以及倾斜布置时侧压系数的影响。相比数值方法,理论解答可更方便地进行参数分析和初步设计。
During the construction of parallel twin-tunnel in rheological rock,tunnel excavation and arrangement have significant influences on the distributions of stresses and displacements.In this paper,analytical solution of incremental displacements and stresses during sequential excavation of twin circular tunnels are formulated subjected to non-hydrostatic initial stresses in viscoelastic rock.In derivation,the relationship between viscoelastic solution and elastic potentials are established by using Laplace transform so that the final analytical solutions are determined according to stress boundary conditions at each period and the superposition principle of viscoelastic problem.A good agreement is shown between results from the analytical solution and finite element analysis under the same conditions.According to analytical solution,the influence of twin tunnel arrangement on stresses and displacements is analyzed and the influence of lateral pressure coefficient is investigated when twin-tunnel is in declining arrangement.Compared with the numerical method,analytical solution given in this paper provides a convenient way in parametric analyses and preliminary design.
出处
《应用力学学报》
CSCD
北大核心
2017年第3期521-528,612,共8页
Chinese Journal of Applied Mechanics
基金
国家重点基础研究发展计划(973计划)(2014CB046901)
黄土地区公路建设与养护技术交通行业重点实验室开放基金(KLTLR-Y13-15)
同济大学土木工程防灾国家重点实验室自主课题(SLDRCE14-B-11)
关键词
粘弹性
双线隧道
施工过程
复变函数
解析解
viscoelasticity
twin-tunnel
construction process
complex analysis
analytical solution
