Numerical Investigation of Hydrostatic Pressure on Free Vibrating Rectangular Cantilever Plates Partially Submerged in Viscous Media

Abstract

In the present study, the properties of the free vibration, represented by natural frequency, and the mode shape of cantilever plates partially submerged in the fluid was studied and analyzed. The viscosity, density, and compressibility of fluid were taken into account in numerical analysis using (ANSYS Package), which is basically based on (Finite Element Technique) in the analysis, by making the interaction between the plate and fluid at the contact surface. The results were compared with the properties of the plate in the case of non-contact with the fluid, which was obtained through the use of the same analytical program using the method of analysis named (Modal Analyses). The natural frequencies and mode shape of cantilever plates were found at different immersion and aspect ratios. The results showed the influence of the immersion and aspect ratios on the dynamic properties of the plates. The simulated data showed that the immersion of the cantilever plates in a fluid leads to a decrease in natural frequency, and this decrease varies with the type of fluid, the ratio of the submerged part and the aspect ratio, and that the fluid density is the most important characteristic of the dynamic properties of the plates.