Efficient Theoretical and Numerical Methods for Solving Free Vibrations and Transient Responses of a Circular Plate Coupled With Fluid Subjected to Impact Loadings
Efficient Theoretical and Numerical Methods for Solving Free Vibrations and Transient Responses of a Circular Plate Coupled With Fluid Subjected to Impact Loadings
复制标题
求解受冲击载荷作用的圆板与流体耦合的自由振动和瞬态响应的有效理论和数值方法
DOI：
10.1115/1.4050319
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Inaba Kazuaki
中科院分区：
文献类型：
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作者：
Ji Ming;Inaba Kazuaki
本文提出了一种易于使用的理论方法和有效的数值方法，用于求解与受到冲击载荷的流体耦合的圆板的自由振动和瞬态响应，并通过这些开发的方法提供了对各种耦合情况的见解。使用基尔霍夫板理论、Mindlin-Reissner 板理论和线速度势函数。耦合系统的湿模态被描述为板的干模态的叠加，这在少数研究中被考虑。使用干模态的正交性求解固有频率和相应的振型。然后使用湿模式的叠加和干模式的正交性来求解板的瞬态响应。为了验证理论结果，提出了一种高效灵活的有限元方法，并通过与商业软件的比较进行了验证。张量分量四边形板有限元（MITC4）的四节点混合插值和八节点声压单元分别对板和流体进行建模。理论和数值方法提供了可靠和准确的结果。进行参数研究是为了研究几何尺寸、板材料特性和流体特性对耦合系统固有频率的影响。提出了流固耦合的耦合参数。无量纲附加虚拟质量增量 (NAVMI) 因子随着耦合参数的增加而减小。此外，流体对板的湿模态的影响随着阶数的增加而减小。
This paper presents an easy-to-use theoretical method and an efficient numerical method for solving free vibrations and transient responses of a circular plate coupled with fluid subjected to impact loadings and provides insights into various coupling cases with these developed methods. The Kirchhoff plate theory, Mindlin–Reissner plate theory, and the linear velocity potential function are used. The wet mode of the coupled system is described as the superposition of dry modes of the plate, which has been considered in few studies. The natural frequencies and corresponding mode shapes are solved using the orthogonality of dry modes. The transient responses of the plate are then solved using the superposition of the wet modes and the orthogonality of dry modes. To validate the theoretical results, an efficient and flexible finite element method is proposed and verified by comparing with commercial software. The four-node mixed interpolation of the tensorial component quadrilateral plate finite element (MITC4) and the eight-node acoustic pressure element are used to model the plate and the fluid, respectively. The theoretical and numerical methods provide reliable and accurate results. Parametric studies are performed to investigate the influence of geometric sizes, plate material properties, and fluid properties on the natural frequencies of the coupled system. A coupling parameter of fluid–structure interaction is proposed. The nondimensional added virtual mass incremental (NAVMI) factor decreases as the coupling parameter increases. Besides, the influence of fluid on wet modes of the plate decreases with the order.