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A modal analysis of vibration response of a cracked fluid-filled cylindrical shell

机译：裂纹流体填充圆柱壳的振动响应模态分析

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The shock and vibration response of a thin cylindrical shell is a complex fluid-structure interaction (FSI) dynamic problem, which is very important to the monitoring of the shell condition and the detection of any shell damage. In this paper, the high-order partial differential equation (PDE) of thin shell motion is derived from the Flugge shell theory, and the vibration response of the cylindrical shell system is obtained by the wave propagation method (WPM). In this study, the surrounding fluid of the shell is considered as an ideal acoustic medium and the Helmholtz equation is used to describe the sound pressure field. Using a combination of the above methods, we are able to observe and summarize the patterns regarding the change of the forced vibration response of a thin cylindrical shell under the FSI condition. As far as the crack is concerned, a local flexibility matrix is constructed according to the facture mechanical principles, a breathing linear spring model (BLSM) is set up to obtain the crack stress and displacement. Thus, not only the vibration response of the cracked fluid-filled cylindrical shell is obtained, but also a damage detection method based on the vibration energy flow is presented. This study comes to the following conclusions regarding the fluid-filled thin cylindrical shell: (1) the displacement response of the shell caused by nonlinear excitations vary significantly in the radial, axial and circumferential directions; (2) the crack on the shell cause both local flexibility and natural frequency to decrease; (3) The normalized input power flows prove to be an effective damage detection method for the shell. This study not only makes meaningful contribution to the research field focusing on the vibration response of fluid-filled thin cylindrical shells, but also offers a practical crack damage detection method for structures under the FSI condition.
机译：薄圆柱壳的冲击和振动响应是复杂的流体结构相互作用（FSI）动态问题，对壳体状况监测和检测任何壳损坏非常重要。在本文中，薄壳运动的高阶偏微分方程（PDE）来自闪烁壳理论，通过波传播方法（WPM）获得圆柱形壳体系统的振动响应。在该研究中，壳体的周围流体被认为是理想的声学介质，并且Helmholtz方程用于描述声压场。使用上述方法的组合，我们能够观察和总结关于在FSI条件下薄圆柱壳的强制振动响应的变化的模式。就裂缝而言，根据有条件的机械原理构建局部灵活性矩阵，建立呼吸线性弹簧模型（BLSM）以获得裂纹应力和位移。因此，不仅获得了裂缝的流体填充圆柱形壳的振动响应，而且还提出了基于振动能量流的损伤检测方法。本研究提出了关于流体填充的薄圆柱形壳体的结论：（1）由非线性激励引起的壳体的位移响应在径向，轴向和圆周方向上显着变化; （2）壳体上的裂缝导致局部灵活性和自然频率降低; （3）标准化的输入功率流动证明是壳体的有效损伤检测方法。本研究不仅对重点进行了有意义的贡献，重点是流体填充薄圆柱壳的振动响应，而且还提供了FSI条件下结构的实用裂纹损伤检测方法。

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