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本文研究了地下爆源(球形或垂直园柱形)在弹性和粘弹性半无限空间中的能量幅射所引起的表面振动问题。处理方法尽可能以无量纲的形式进行,我们的分析结果与轴对称动力有限元解很吻合。作者先前所做的研究工作结果对于用一系列球形药包来模拟垂直柱状药包的传统方法提出了疑问,因此,动力有限元法仅被用于模拟垂直柱状药包。我们的研究结果表明药包并不显现出特殊的振动特性,无论其传爆速度与介质的 P 波或 S 波相匹配与否。这一发现意味着基于传爆速度与介质波速相匹配的任何技术方法都与弹性介质的振动无关。结果还表明峰值质点的运动并不一定随炮孔装药量的增加而增加。这一发现与传统的药量计算方法完全矛盾。
In this paper, we study the surface vibration problem caused by the energy radiation in the semi-infinite space of elastic and viscoelasticity of underground explosion sources (spherical or vertical cylindrical). The treatment is performed in a dimensionless manner as much as possible. Our analytical results are in good agreement with the axial-symmetric dynamic finite element solution. The author’s previous work has raised questions about the traditional method of modeling vertical columnar kits with a series of spherical kits, so the dynamic finite element method is only used to model vertical columnar kits. Our results show that the drug pack does not show any particular vibrational characteristics, regardless of its propagation velocity and media P wave or S wave match or not. This finding means that any technical method that matches the velocity of the medium based on the velocity of the mass transfer is independent of the vibration of the elastic medium. The results also show that the peak particle motion does not necessarily increase with the increase in the amount of the gun hole. This finding is totally contradictory to traditional methods of dose calculation.