爆破振动对任意形状地下洞室的影响研究

根据应力波理论和复变函数方法，建立了求解爆破地震波作用下任意形状洞室动态响应的解析方法。即通过保角变换的方法，将物理平面上任意形状的洞室映射到像平面的单位圆，将问题转化为应力波与单位圆形洞室的相互作用问题。以爆破地震波与一半圆直墙拱形洞室相互作用为例，求解了不同频率的爆破地震波以不同方向作用于地下洞室时围岩的应力和振速分布，结合围岩的抗拉强度，求解了各种工况下围岩的临界破坏振速。

Influence of blasting vibration on arbitrary shape underground chambers

In terms of stress wave theory and complex function,analytical solution for the interaction between blasting seismic wave and arbitrary shape underground chambers is deduced.The detail process is that through the conformal mapping method,the arbitrary shape hole in physical plane can be mapped into unit circle in mapped plane;the problem is translated into solving the interaction between blasting seismic wave and unit circle chambers.Taking the interaction between blasting seismic wave and an arch tunnel with vertical sidewalls for example,the distribution of stress and vibration velocity of rock mass is presented and analyzed under the acting of the incident blasting seismic wave with different frequencies and incident angles,and then the critical particle vibration velocity is decided basing on the tensile strength of rock mass.