论文部分内容阅读
针对流变岩体中任意断面形状隧道的任意复杂分部开挖问题,根据复变函数理论结合Laplace变换建立黏弹性位移、应力与复位势之间的关系,给出了各施工阶段力学响应(位移与应力)理论解的一般求解方法和解答。从解答可以看出,各步增量位移是新开挖边界处释放面力作用下的流变位移与之前所有各施工步边界释放面力在本步时段中的增量流变位移的和,与施工路径相关。以圆形断面隧道分两阶段(从半圆形到圆形)任意分部开挖为例,导出了各步开挖过程围岩位移与应力的解析解。为验证解答的正确性,针对圆形断面上下开挖方式,将理论结果与有限元结果进行了对比,两者一致。利用解答对上下开挖、右左开挖两种方案下圆形隧道的位移、应力分布特点进行了分析。根据本文方法,可以得到任意黏弹性模型岩体中,复杂孔型任意分部开挖过程的解答。依据解答可建立快速预测系统,给出更方便、快捷地进行相似工程条件下初步设计的可选方法。
Aiming at the problem of arbitrarily complex section excavation of tunnel with arbitrary cross-section in rheological rock mass, the relationship between viscoelastic displacement, stress and reset potential is established based on complex variable function theory and Laplace transform, and the mechanical response Displacement and stress) Theoretical solution to the general solution and answer. It can be seen from the solution that the incremental displacement of each step is the sum of the incremental rheological displacement of the surface force released by the boundary release of all construction steps at this step when the surface displacement at the newly excavated boundary is released, Related to the construction path. Taking the excavation of arbitrary section of a circular cross-section tunnel in two stages (from semicircle to circle), the analytical solution of surrounding rock displacement and stress in each step of excavation is derived. In order to validate the correctness of the solution, the theoretical results are compared with the finite element results for the up-down circular excavation. By means of the solution, the displacement and stress distribution of the circular tunnel under the two schemes of excavation up and down and right and left excavation are analyzed. According to the method in this paper, we can get the solution of excavation process of arbitrary section with complex hole in any viscoelastic model rock mass. Based on the solution, a rapid prediction system can be set up to give an alternative method for preliminary design under similar engineering conditions more conveniently and quickly.