Hydroelastic vibration of a circular plate submerged in a bounded compressible fluid

An analytical method for the linear free vibration of a circular plate submerged in a fluid was developed by the Rayleigh–Ritz method based on the Fourier–Bessel series expansion. It is assumed that the plate is clamped at an offcenter location of a rigid cylindrical container and the fluid bisected by the plate in the container is non-viscous and compressible. Since a combination of the dry modal functions of the circular plate can approximate the wet vibration modes, the functions were used to form a set of linearly independent functions of the Rayleigh–Ritz method. It was found that the theoretical results could predict well the fluid-coupled natural frequencies with excellent accuracy compared with the finite element analysis results. The effects of the fluid compressibility and the offcenter distance on the natural frequencies were also observed.