Abstract The response of a plane, air-backed plate attached to a rigid baffle when subjected to an underwater plane shock wave is investigated numerically and analytically. The numerical simulation takes into account a full three-dimensional fluid model involving water cavitation effects. Different numerical models are employed and validated by comparing against various experimental results from the literature. The validated numerical setup is then used to simulate the underwater shock response of simply-supported, air-backed, carbon-fiber/epoxy rectangular plates attached to a rigid baffle. Simplified analytical solution is developed based on two-step approach. The two stages considered are early-time phase that adapts Taylor’s fluid-structure theory to calculate an impulsive velocity for the plate and long-time phase that involves determining its free oscillation response within linear elastic domain, taking into account the water-added mass effect. Finally, the applicability of the proposed method is investigated by performing different numerical simulations regarding various combinations of peak pressures and decay times, change of aspect ratios, change of materials as well as ply orientations.

中文翻译：

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泰勒理论在复合板水下爆炸响应中的适用性

摘要 以数值方法和解析方法研究了连接在刚性挡板上的平面气垫板在受到水下平面冲击波时的响应。数值模拟考虑了涉及水空化效应的完整三维流体模型。通过与文献中的各种实验结果进行比较，采用并验证了不同的数值模型。然后使用经过验证的数值设置来模拟连接到刚性挡板的简单支撑、气垫、碳纤维/环氧树脂矩形板的水下冲击响应。基于两步法开发了简化的分析解决方案。考虑的两个阶段是早期阶段，它采用泰勒的流固理论来计算板的脉冲速度和长期阶段，包括确定其线弹性域内的自由振荡响应，同时考虑到添加水的质量效应. 最后，通过对峰值压力和衰减时间的各种组合、纵横比的变化、材料的变化以及层片方向进行不同的数值模拟，研究了所提出方法的适用性。