Vibration Analysis of a Non-uniform Rectangular Plate in Contact with Fluid

摘要

The fluid-structure interaction problem is dealt with in this paper. In particular, the vibrational behavior of non-uniform rectangular plates in contact with fluid will be investigated. It is well known that one can evaluate the natural frequencies of the non-uniform plate in contact with fluid by using the added virtual mass incremental (AVMI) factor. The numerical experiments on the determination of added virtual mass for water-contacting rectangular plates with non-uniform thickness is performed in this study. The optimized Kantorovich method, which has been proposed recently is conducted to detect the natural vibration characteristics of the plate in the air. On the fluid-structure interface, some techniques will be adopted to deal with the relationships between the velocity potential and the mode shapes, and then by imposing the Fourier transform, one can derive the formulations of the reference kinetic energy for both the fluid and the plate itself. After these two energies have been obtained, the added virtual mass incremental factor (AVMIF) could be obtained rapidly and the added virtual mass can thus be acquired. Furthermore, the vibrational responses of plates with various combinations of boundary condition are also investigated.