地下隧道在内爆炸荷载作用下的动力响应分析

为解决内爆炸荷载作用下地下隧道的动力响应，在经典弹性理论的基础上，建立了圆柱壳在内部冲击爆炸荷载作用下的动力平衡方程，对爆炸荷载经过傅里叶展开以及对动力平衡方程的拉普拉斯变换，得到了内部冲击荷载作用下各向异性圆柱壳体动力反应问题的解析解。通过简化分析，得到了一种精度较高的简化计算方法。计算结果表明，对于圆柱壳内爆炸，挠度幅值在集中装药爆炸点的周围达到峰值；随着距该点距离的增加，挠度幅值减小，圆柱壳周围的土介质使振动产生较大幅度的衰减。计算结果可直接应用于圆柱形壳体和地铁隧道内部爆炸动力分析及地铁隧道内爆炸条件下冲击波的传播规律研究与计算。

Dynamic response of underground tunnel to internal explosion loading

To analyze the dynamic response of underground tunnel to internal explosion loading, the dynamic equilibrium equations were established for the cylindrical shell under internal explosion loading based on classical elastic theory. The analytical solution of dynamic response of anisotropic cylindrical shell was solved by the Foriour decomposition of explosion loading and the Laplace transform of dynamic equilibrium equations. A simplified algorithm with relatively high accuracy was developed for rapid analysis. The results show that the peak value of deflection takes place in the vicinity of the explosion center and the surrounding soil greatly reduces the induced vibration.