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Modeling fluid-structure interactions during impact loading of water-backed panels

机译：模拟背板冲击载荷过程中的流固耦合

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Understanding the response of water-backed panels to impact loading is of paramount importance in the design of marine and aerospace structures. In this theoretical study, we propose a modeling framework to investigate the two-dimensional, nonlinear hydroelastic response of thin structures. Within Euler-Bernoulli beam theory, we account for nonlinear stiffening due to membrane stretching. We demonstrate a closed-form solution for the fluid potential flow, which affords the exact computation of the hydrodynamic loading. The Galerldn discretization is used to cast the governing nonlinear integro-differential equation into a set of nonlinear ordinary differential equations. Two different semi-analytical solutions are established, by using the in-vacuum linear mode shapes of the beam and Hermitian finite element basis functions. Results are verified against full two-dimensional finite element simulations. We conduct a parametric study to elucidate the role of the beam thickness and the functional form of the impact loading. Our results indicate that the water-backing has a critical role on the structural dynamics, which is stronger for thin beams subject to rapid pulses. The model fills a significant gap in the technical literature, holding promise to inform the design of experimental setups and assist in the analysis of observations on water-backed panels. (C) 2017 Elsevier Ltd. All rights reserved.
机译：理解背水板对冲击载荷的响应在海洋和航空航天结构设计中至关重要。在这项理论研究中，我们提出了一个建模框架来研究薄结构的二维非线性水弹性响应。在Euler-Bernoulli梁理论中，我们考虑了由于膜拉伸引起的非线性刚度。我们演示了流体势流的封闭形式的解决方案，它提供了流体动力载荷的精确计算。 Galerldn离散化用于将控制非线性积分微分方程转换为一组非线性常微分方程。通过使用梁的真空线性模式形状和埃尔米特有限元基函数，建立了两种不同的半解析解。针对完整的二维有限元模拟对结果进行了验证。我们进行了参数研究，以阐明梁厚度的作用和冲击载荷的功能形式。我们的结果表明，水的支持对结构动力学起着至关重要的作用，这对于受快速脉冲作用的薄梁而言更为重要。该模型填补了技术文献中的重大空白，有望为实验装置的设计提供参考，并有助于对水基面板的观测结果进行分析。 （C）2017 Elsevier Ltd.保留所有权利。

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