The free vibration analysis of submerged cantilever plates
TL;DR: In this article, the authors presented a simple procedure to determine the vibration frequencies and mode shapes of submerged cantilever plates based on an empirical added mass formulation, which can be used to analyze free vibration response easily.
About: This article is published in Ocean Engineering.The article was published on 2001-09-01. It has received 103 citations till now. The article focuses on the topics: Cantilever & Added mass.
Citations
More filters
TL;DR: In this paper, a mathematical model for the structure is developed using a combination of the finite element method and Sanders' shell theory, and the in-plane and out-of-plane displacement components are modelled using bilinear polynomials and exponential functions, respectively.
145 citations
TL;DR: In this article, the in-vacuo dynamic properties of cantilever plates were investigated, such as natural frequencies and mode shapes, of the plates, partially in contact with a fluid.
124 citations
TL;DR: In this paper, a semi-analytical method is developed to investigate free vibrations of circular plates immersed in fluids and a series of experimental tests are presented to validate the model. But the results obtained from the present method agree with those obtained from modal test and the finite element analysis.
122 citations
TL;DR: In this article, a numerical simulation to analyze the influence of the surrounding water in a turbine runner has been carried out using finite element method (FEM), and the added mass effect due to the fluid structure interaction has been discussed in detail.
104 citations
Cites background or methods from "The free vibration analysis of subm..."
...It is believed that the added mass factor k only depends on the material density of the structure qS, on the density of fluid qF, and on the mode shapes [11,33]....
[...]
...[11] adopted an empirical added mass formulation and the Rayleigh-Ritz method to determine the frequencies and mode shapes of submerged cantilever plates....
[...]
...With this assumption, the frequencies in water can be related to the frequencies in air, using the following equations [11,32]....
[...]
TL;DR: In this article, an experimental investigation in a reduced scale model of a turbine runner, using modal analysis, was carried out, and several impact tests with the runner freely suspended in air and in water were done.
98 citations
References
More filters
Book•
[...]
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Abstract: : Contents: Fundamental Equations of Classical Plate Theory; Circular Plates; Elliptical Plates; Rectangular Plates; Parallelogram Plates; Other Quadrilateral Plates; Triangular Plates; Plates of Other Shapes; Anisotropic Plates; Plates With Inplane Forces; Plates With Variable Thickness; and Other Considerations.
2,137 citations
TL;DR: In this paper, the effect of the liquid free surface on the resonant frequency of a vertical surface peircing plate is highly dependent upon the relationship between the depth of immersion of the plate and the mode of vibration.
Abstract: : The presence of the liquid free surface has a significant effect upon the dynamic plate characteristics (frequencies) only when the surface is less than about one-half span length from the plate. The effect of the liquid free surface on the resonant frequency of a vertical surface peircing plate is highly dependent upon the relationship between the depth of immersion of the plate and the mode of vibration. The overall damping of cantilever plate vibration is increased significantly in water as compared with air. The results of this study would indicate that for those problem areas in the field of Naval dynamics wherein elastic plate vibrations are involved, and for which predictions of resonant frequencies and damping factors are derived, knowledge is either inadequate or unavailable. For cantilever plates, the present results should enable one to predict resonant frequencies in practical applications with some degree of confidence; but damping factors have been obtained only to within order-of-magnitude and to show trends. Clearly, similar information is very much needed for other plate geometries (i.e., skewed) and support conditions.
176 citations
TL;DR: In this article, the dry and wet dynamic characteristics of a vertical and a horizontal cantilever square plate are discussed from the viewpoint of a linear hydroelasticity theory, where the surface piercing vertical plate is partially immersed in the fluid and the influence of submerged plate length on the resonance frequencies investigated.
149 citations
TL;DR: In this paper, the effect of fluid on the natural frequencies of circular plates vibrating axisymmetrically in contact with fluid was investigated. And the authors obtained the non-dimensionalized added virtual mass incremental (NAVMI) factor for circular plates having simply supported, clamped and free edges using the integral transformation technique in conjunction with the dual integral equation method.
138 citations
TL;DR: The ADINA-F capabilities for fluid flow analysis are described in this paper, where the basic formulations and finite element discretizations used are described, the techniques for the solution of the finite element equations are briefly discussed, and the results of various demonstrative analyses are given.
135 citations