Abstract When a ship navigates at sea, the slamming impact can generate significant load pulses which move up along the hull plating. The effect of the moving pressure has so far not been explicitly considered in the Rules and Regulations for the Classification of Ships. Based on a modal superposition method and the Lagrange equation, this paper derives analytical solutions to study the elastic dynamic responses of fully clamped rectangular plates under moving pressure impact loads. The spatial variation of the moving slamming impact pressure is simplified to three types of impact loads, i.e. a rectangular pulse, a linearly decaying pulse and an exponentially decaying pulse. The dynamic responses of fully clamped rectangular plates under the moving slamming impact pressure are calculated in order to investigate the influence of the load pulse shapes and moving speed on the plate structural behaviour. It is found that the structural response of the plate increases with the increase of the moving speed. The response of the plate subjected to a moving pressure impact load is smaller than the case when the plate is subjected to a spatially uniform distributed impact load with the same load amplitude and load duration. In order to quantify the effect of the moving speed on the dynamic load, a Dynamic Moving Load Coefficient (DMLC) is introduced as the ratio between the dynamic load factor for the moving impact load and that under the spatially uniform distributed impact load. An expression for DMLC is proposed based on analyses of various scenarios using the developed analytical model. Finally an empirical formula which transforms the moving impact loads to an equivalent static load is proposed.

中文翻译：

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承受移动砰击冲击载荷的船板的等效设计压力

摘要 当船舶在海上航行时，砰的撞击会产生沿船体板向上移动的显着载荷脉冲。迄今为止，《船舶入级规则》并未明确考虑移动压力的影响。本文基于模态叠加法和拉格朗日方程，推导出解析解来研究完全夹紧的矩形板在移动压力冲击载荷下的弹性动态响应。将移动砰击冲击压力的空间变化简化为三种冲击载荷，即矩形脉冲、线性衰减脉冲和指数衰减脉冲。为了研究载荷脉冲形状和移动速度对板结构行为的影响，计算了完全夹紧的矩形板在移动砰击冲击压力下的动态响应。发现板的结构响应随着移动速度的增加而增加。板在移动压力冲击载荷下的响应小于当板在相同载荷幅值和载荷持续时间下承受空间均匀分布的冲击载荷时的响应。为了量化移动速度对动态载荷的影响，引入动态移动载荷系数 (DMLC) 作为移动冲击载荷的动态载荷系数与空间均匀分布的冲击载荷下的动态载荷系数之间的比率。基于使用开发的分析模型对各种场景的分析，提出了 DMLC 的表达式。最后提出了将移动冲击载荷转化为等效静载荷的经验公式。