Dynamic modelling and vibration behavior of axially moving honeycomb sandwich plates immersed in fluid

An energy-based analytical method is proposed to describe the vibration and stability behaviors of axially moving HSTP immersed in fluid under general boundary conditions. General boundary conditions, such as simply supported, clamped and free constraints, can be considered by different penalty parameter values. The proposed method systematically accounts for the influence of the geometric parameters of the honeycomb core and the fluid on the model. By integrating first-order shear deformation theory (FSDT) with linear potential flow theory, the energy functional formulations for the structure considered are meticulously derived. The Hamilton’s principle is applied to formulate the governing equations for the axially moving HSTP immersed in fluid, and a unified analytical solution for the cases with general boundary conditions is derived. The accuracy of the presented method is validated through comparisons with commercial software results and published reference data. Furthermore, parametric analyses are carried out to evaluate how key parameters including axially moving velocity, fluid density, face sheet thickness, core wall dimensions, core height, unit cell geometry and structural damping coefficient influence the dynamic behavior of the HSTP. Numerical results demonstrate that these parameters significantly affect the stability and vibration behavior of the HSTP in fluid environments. The findings of this research can serve as a theoretical foundation for the dynamic optimization design of HSTP structures immersed in fluid environments.