爆炸地震波作用下深埋圆形隧道的动力响应分析

 深地下结构在爆炸地震波作用下的动力响应是防护工程设计和评估的重要问题，发展适应深部特点的快速计算方法具有重要意义。采用集中质量方法将圆形隧道离散为有限自由度体系，并将爆炸地震波的作用看作一系列作用在集中质量上的动力，利用局部变形理论将围岩的弹性抗力简化为弹性链杆，采用矩阵力法考虑结构在各种内力作用下产生的自身变形和弹性半空间的变形，并据此建立结构动力方程矩阵。通过对结构动力方程的求解，可以得到结构的动力集中系数和结构内力、弯矩、位移等参数。采用所提出的方法计算一个算例，分析围岩等级、荷载作用位置、正压作用时间以及入射波角度等因素对隧道衬砌结构动力响应的影响。

ANALYSIS OF DYNAMIC RESPONSE OF DEEP-BURIED CIRCULAR TUNNEL TO EXPLOSION SEISMIC WAVE

The dynamic response of a deep-buried protected structure is of great importance under conditions of war or incident explosions. Hence there is a need to develop appropriate rapid algorithm to study this dynamic soil-structure interaction. In this paper，the lining structure of circular tunnel is discretized as a system with limited freedoms，and the explosion seismic wave is regarded as a series of dynamic forces acting on concentrated masses. The elastic resistances are simplified as elastic chain-pole by local deformation theory. Matrix force method is adopted to analyze the deformation of structure in elastic half-space，on the foundation of which the structural dynamic equation is established. By solving the structural dynamic equation，we can obtain the structure?s dynamic concentration coefficient，internal force，moment，displacements，etc.. The influences of rock grade，loading location，duration of positive pressure and incident wave angle are investigated through a case study.