Abstract Vertical cylinders are widely used as supporting structures in ocean engineering applications. Shock waves due to underwater explosives (UNDEX) can cause serious damage to offshore structures, which has attracted the interest of many researchers. The propagation characteristics of shock waves produced by UNDEX across a cylinder are a complex physical phenomenon that involves fluid-structure dynamic interactions. For the shock wave produced by UNDEX, the total pressure on a cylinder consists of three parts, including the incident shock wave pressure, scattered wave pressure and radiation pressure due to the motion of the cylinder. This paper develops an improved method for obtaining the transient response of a vertical circular cylinder subjected to UNDEX. First, an empirical formula of the shock wave pressure for far-field UNDEX is adopted as the incident shock wave. Based on the continued fraction (CF) expansion of the frequency-domain dynamic stiffness coefficient, an accurate model in the time domain for solving the scattered wave pressures on a cylinder is further developed. Then, the added mass model is used to replace the fluid-structure interaction caused by radiation wave. Finally, the vibration equation of a Euler-Bernoulli beam is utilized to evaluate the transient response of the cylinder subjected to UNDEX.

中文翻译：

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水下爆炸冲击波作用下立柱瞬态响应的子结构方法

摘要 垂直圆柱体在海洋工程应用中被广泛用作支撑结构。水下炸药（UNDEX）引起的冲击波会对海上结构造成严重破坏，这引起了许多研究人员的兴趣。UNDEX 产生的冲击波在圆柱体上的传播特性是一种复杂的物理现象，涉及流固耦合。对于UNDEX产​​生的激波，圆柱体上的总压力由三部分组成，包括入射激波压力、散射波压力和圆柱体运动产生的辐射压力。本文开发了一种获得受 UNDEX 作用的垂直圆柱瞬态响应的改进方法。第一的，入射激波采用远场UNDEX激波压力的经验公式。基于频域动态刚度系数的连分数 (CF) 展开，进一步开发了用于求解圆柱体上的散射波压力的时域精确模型。然后，使用附加质量模型来代替辐射波引起的流固耦合。最后，利用欧拉-伯努利梁的振动方程来评估受 UNDEX 作用的圆柱体的瞬态响应。附加质量模型用于代替辐射波引起的流固耦合。最后，利用欧拉-伯努利梁的振动方程来评估受 UNDEX 作用的圆柱体的瞬态响应。附加质量模型用于代替辐射波引起的流固耦合。最后，利用欧拉-伯努利梁的振动方程来评估受 UNDEX 作用的圆柱体的瞬态响应。