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Analytical Models for the Response of the Double-Bottom Structure to Underwater Explosion Based on the Wave Motion Theory

机译:基于波动理论的双底结构对水下爆炸响应的分析模型

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摘要

The aim of this paper is to apply the elastic wave motion theory and the classical one-dimensional cavitation theory to analyze the response of a typical double-bottom structure subjected to underwater blast. The section-varying bar theory and the general acoustic impedance are introduced to get the simplified analytical models. The double-bottom structure is idealized by the basic unit of three substructures which include the simple panel, the panel with stiffener (T-shaped), and the panel associated with girder (I-shaped). According to the simplified models, the analytical models for the corresponding substructures are set up. By taking the cavitation effect into account, the process of fluid-structure interaction can be thoroughly understood, as well as the stress wave propagation. Good agreement between the analytical solution and the finite element prediction is achieved. On the other hand, the Taylor predictions for the panel associated with girder (I-shaped) including the effects of cavitation are invalid, indicating a potential field for the analytical method. The validated analytical models are used to determine the sensitivity of structure response to dimensionless geometric parameters α-k, β-k, and γ-k. Based on the dynamic response of the substructures, we establish the approximate analytical models which are able to predict the response of double-bottom structure to underwater explosion.
机译:本文的目的是应用弹性波动理论和经典一维空化理论,分析对水下爆炸的典型双底结构的响应。介绍了截面级条理论和一般声阻抗以获得简化的分析模型。双底结构由三个子结构的基本单元理想化,包括简单面板,具有加强件(T形)的面板,以及与梁(I形)相关的面板。根据简化模型,建立了相应子结构的分析模型。通过考虑空化效果,可以彻底理解流体结构相互作用的过程,以及应力波传播。实现分析解决方案与有限元预测之间的良好一致性。另一方面,包括空化效应的梁(I形)相关的面板的泰勒预测是无效的,表示分析方法的潜在场。验证的分析模型用于确定结构响应对无量纲几何参数α-K,β-k和γ-k的灵敏度。基于子结构的动态响应,我们建立了能够预测双底结构对水下爆炸的近似分析模型。

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