Vibro-acoustic analysis and suppression of corrugated sandwich panel structures with general boundary conditions

The trapezoidal corrugated sandwich (TCS) panels are widely adopted in railway vehicles and aerospace flight vehicles, and the vibro-acoustic behaviors of these structures have garnered widespread attention from researchers. This investigation explores the vibro-acoustic analysis and suppression of TCS panels having general boundary conditions. By utilizing the mechanical equivalence principle, the TCS panel is equivalently modelled as a laminated panel comprising the upper panel, core and lower panel. The formulations of the TCS plate are derived utilizing the first-order shear deformation theory (FSDT), where each component of displacements is represented by the Fourier cosine series, incorporating auxiliary functions, in order to meet the general constraints. Numerical examples regarding the vibro-acoustic responses of the TCS panel are utilized to confirm the convergence and precision of the proposed methodology. The effects of essential parameters, encompassing boundary conditions, angle, core thickness, panel thickness and upper edge parameters on the vibro-acoustic responses of the TCS plate are thoroughly discussed. The response peaks of the TCS panel move to higher frequency ranges as the boundary stiffness or the upper edge parameter increases. Conversely, the response peaks of the TCS panel shift to lower frequency ranges with the angle or core thickness increased. Furthermore, the negative inductance negative resistance electromagnetic shunt damping (NINR-EMSD) is utilized to mitigate the multimode vibro-acoustic responses of the TCS panel structures. The studies indicate that the vibro-acoustic responses of the TCS plate can be attenuated by the proposed strategy, and the vibration mitigation property is enhanced when the total resistance of the circuit approaches zero.