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用解析方法研究了爆炸荷载作用下饱和土中圆形隧道的动力响应问题。模型假定饱和土体中的圆形隧道中心处发生爆炸,爆炸荷载采用简化形式,衬砌运动方程基于Flügge壳体理论,饱和土采用Biot波动方程,通过引入两个势函数,在Laplace变换域中推导了爆炸荷载作用下圆形隧道位移和应力响应的表达式。利用Laplace数值逆变换得到爆炸荷载作用下衬砌与土体的时域计算结果,分析了排水条件对位移、应力变化的影响,并讨论了饱和土参数、衬砌和土的相对刚度的影响。数值结果表明,爆炸荷载作用下,不排水条件下应力和位移的响应幅值比排水条件下有所增大;饱和土参数b*对土体应力的幅值有明显的影响;衬砌与土的相对刚度越大,土体位移和应力响应的幅值越小,衰减的速度也越快。
The analytical solution of the dynamic response of a circular tunnel in saturated soil under blast load is studied. The model assumes that the center of a circular tunnel in saturated soil explodes, the explosion load is simplified, the lining motion equation is based on the Flügge shell theory, the saturated soil is modified by the Biot wave equation, and the Laplace transform domain is derived by introducing two potential functions The Expression of Displacement and Stress Response of Circular Tunnel under Blast Loading. Laplace numerical inversion is used to obtain the time-domain results of lining and soil under blast load. The influence of drainage conditions on displacement and stress is analyzed. The influence of saturated soil parameters, lining and soil relative stiffness is discussed. The numerical results show that the response amplitude of stress and displacement under undrained condition increases under the condition of undrained condition under the condition of drainage condition. The parameter b * of saturated soil has obvious influence on the magnitude of soil stress. The response of lining and soil The greater the relative stiffness, the smaller the amplitude of soil displacement and stress response, the faster the attenuation.