衬砌洞室群在平面SV波多角度入射下动应力集中问题研究

采用波函数展开法给出了半空间中衬砌洞室群在平面SV波入射下动应力集中问题的一个级数解析解.在满足一定的精度要求下,时无穷级数进行截断数值计算.衬砌分为刚性衬砌、无衬砌、柔性衬砌3种.计算结果表明:不同的入射角度对动应力集中系数具有重要的影响;洞室间距对动应力集中系数也有重要影响,当洞室之间距离较近时,洞室之间的相互作用对地下洞室群的动应力集中具有显著的放大作用;衬砌刚度对动应力集中问题也具有显著的影响,其中,刚性衬砌的动应力集中系数最大,无衬砌次之,柔性衬砌最小.

Research of Dynamic Stress Concentration of Lined Cavities under Incident Plane SV Waves in Different Angles

An analytical series solution for dynamic stress concentration of lined cavities in a half space under incident plane SV waves was given by using wave function expansion method. The infinite series was cut and calculated under the required precision. The linings include rigid lining, unlined cavities and flexible lining. The numerical result shows that (1) incident angle has great effect on the dynamic stress concentration coefficient; (2) the distance between two cavities has great effect on the dynamic stress concentration coefficient too, and the interaction between two cavities can greatly amplify the dynamic stress concentration when the distance between cavities is closer; (3) the rigidity of lining also has great effect on the dynamic stress concentration which is highest for the rigid hning, second for unlined cavities and lowest for the flexible lining.