This research presents theoretical investigation to analyze vibration of axially moving sandwich plate floating on fluid. This plate is composed of balsa wood core and two nanocomposite face sheets where the three layers vibrated as an integrated sandwich. The fluid–structure interaction (FSI) effects on the stability of moving plate are considered for both ideal and viscous fluid. Halpin–Tsai model is utilized to determine the material properties of two-phase composite consist of uniformly distributed and randomly oriented carbon nanotubes (CNTs) through the PmPV (poly{(m-phenylenevinylene)-co-[(2,5-dioctoxy-p-phenylene)vinylene]}) matrix. The governing equations are derived based on sinusoidal shear deformation plate theory (SSDT) which is more accurate than the conventional theories, and significantly, it does not require a shear correction factor. Employing Hamilton’s principle, the equations of motion are obtained and solved by the semi-analytical method. Results indicated that the dimensionless frequencies of moving sandwich plate decrease rapidly with increasing the water level and they are almost independent of fluid level when it is higher than 50% of the plate length. The results of this investigation can be used in design and manufacturing of marine vessels and aircrafts.

中文翻译：

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流固耦合对轻木芯和纳米复合面板移动夹芯板振动的影响

本研究提出了分析漂浮在流体上的轴向移动夹层板振动的理论研究。该板由轻木芯和两个纳米复合材料面板组成，其中三层作为一个整体的三明治振动。理想流体和粘性流体都考虑了流固耦合（FSI）对动板稳定性的影响。Halpin-Tsai 模型用于确定由均匀分布和随机取向的碳纳米管 (CNT) 通过 PmPV (poly{(m-phenylenevinylene)-co-[(2,5-dioctoxy-对亚苯基）亚乙烯基]}）基体。控制方程是基于正弦剪切变形板理论（SSDT）推导出来的，它比传统理论更准确，并且显着地，它不需要剪切校正因子。利用Hamilton原理，通过半解析方法获得并求解了运动方程。结果表明，移动夹层板的无量纲频率随着水位的增加而迅速下降，当水位高于板长的50%时，它们几乎与液位无关。这项调查的结果可用于船舶和飞机的设计和制造。