Article

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

Journal of Sound and Vibration (Impact Factor: 1.81). 05/2005; 283(1):153-172. DOI: 10.1016/j.jsv.2004.04.029

ABSTRACT

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.

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    • "They showed that the effect of free-surface waves on the plate's natural frequencies is significant only when the bulging and sloshing modes of the system have close natural frequencies. Jeong and Kim (2005) developed an analytical algorithm by the Rayleigh–Ritz approach based on the Fourier–Bessel series expansion for the linear free vibration of a circular plate submerged in a bounded compressible fluid. They also solved the problem using the finite element method and studied the effects of fluid compressibility on natural frequencies of the coupled system. "
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    ABSTRACT: The differential quadrature method (DQM) has been so far applied to a wide variety of fluid and/or structural problems. The results of many researchers reveal that the DQM is computationally efficient and is applicable to a large class of boundary value problems. However, there is little information about its applications to fluid-structure interaction problems. Therefore, the purpose of this paper is to provide some information in this area and to develop procedures based on the DQM for the numerical solution of fluid-structure interaction problems. First, the governing partial differential equations of motion of the structure and fluid are discretized separately using the DQM. Then, by applying the boundary condition at fluid-structure interface, the governing eigenvalue equations of the coupled system are obtained which can then be solved for the eigenvalues of the system. The applicability of the proposed procedures is shown herein through the free vibration analysis of thin circular plates in contact with a cylindrical fluid-filled cavity. Issues related to the implementation of the regularity conditions at the center of the circular plate and the central line of the cylindrical cavity are addressed. Two new regularity conditions are proposed for the circular cylindrical fluid domain. The accuracy and efficiency of the proposed procedures are demonstrated by comparing the obtained results with those available in the literature. It is shown that highly accurate converged results can be obtained by the proposed procedures using a small number of grid points. Three new dimensionless parameters and variables are also introduced for the free vibration of the coupled system. The influences of these parameters on dynamic behavior of the system are studied.
    Full-text · Article · Jan 2016 · Latin American Journal of Solids and Structures
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    • "Several cases of free vibration of a thin structure in contact with fluid have been studied recently. Jeong and Kim [1] studied the hydroelastic vibration of a circular plate submerged in a bounded compressible fluid. An analytical method to compute the natural frequencies of a circular plate submerged in a fluid had been developed. "
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    ABSTRACT: This paper describes the natural frequency analysis of strongly coupled vibration of a closed ends rigid cylindrical cavity containing liquid and gas which separated by a thin circular plate at their interface. A theoretical analysis method to compute the natural frequencies of the liquid-structure-gas coupled system were developed with assumptions is made with respect to the boundaries between the liquid, structure and gas. The theoretical natural frequencies of the complete coupled system were found to be in good agreement with the corresponding values obtained experimentally and from a commercial Finite Element Analysis (FEA) code.
    Full-text · Article · Jan 2015 · International Journal of Mechanical & Mechatronics Engineering
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    • "Very few of the paper dealing with the vibration of a plate bounded with fluids at its two interfaces had been published. One of the very rare papers was presented by Kyeong-Hoon Jeong and Kwi-Ja Kim [1] in which studied hydroelastic vibration of a circular plate submerged in a bounded compressible fluid. "
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    ABSTRACT: This paper describes the axial vibration analysis of a closed ends rigid cylindrical container containing liquid and gas which separated by a thin circular plate at their interface. The liquid depths inside the container were varied and then the mode of vibration and the natural frequencies were analyzed. The natural frequencies obtained experimentally were compared favorably with those of commercial finite element analysis software, ANSYS. The vibration mode of the liquid-structure interaction of the tank system can be visualized from the software post processing animation/plot. The visualized modes are also consistent with the measurement by the respective experimental transducers. It was found that strong coupling predominantly occur between liquid and structure. In weak coupling conditions, the modes are predominantly gas mode.
    Full-text · Article · Jun 2014 · International Journal of Mechanical & Mechatronics Engineering
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