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Research Papers: Fluid-Structure Interaction

Coupling Analysis of Liquid Sloshing and Structural Vibration Using General Software

[+] Author and Article Information
C. F. Zhu

Mem. ASME
Department of Mechanics
and Engineering Science,
Fudan University,
Shanghai 200433, China
e-mail: 11210290016@fudan.edu.cn

G. A. Tang

Department of Mechanics
and Engineering Science,
Fudan University,
Shanghai 200433, China
e-mail: tangguoan@fudan.edu.cn

M. Y. Zhang

Mem. ASME
Department of Mechanics
and Engineering Science,
Fudan University,
Shanghai 200433, China
e-mail: zhangmy@fudan.edu.cn

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received October 11, 2013; final manuscript received March 2, 2014; published online September 15, 2014. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 137(1), 011304 (Sep 15, 2014) (6 pages) Paper No: PVT-13-1179; doi: 10.1115/1.4026992 History: Received October 11, 2013; Revised March 02, 2014

In this paper, a convenient modal analysis method for the linear coupled vibration of a container that is partially filled with a fluid is introduced. This problem is important for various reasons, such as stability analysis. The fluid-structure interactions in an elastic tank with an incompressible liquid are assumed to produce small vibrations. Reduced symmetric finite element equations of the system are acquired according to the component mode synthesis method. Considering that the liquid satisfies the same governing equation as steady heat conduction, general programs can be used to calculate the mass matrix and stiffness matrix of the coupled system. Then, modal analysis of the liquid container using general software, e.g., MSC Nastran, that ensures accuracy and stableness in the process, is applied to demonstrate that this method can determine the modal frequency in a fluid-structure coupled system.

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Figures

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Fig. 1

Description of the system and notations

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Fig. 2

Model of propellant tank

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Fig. 3

Finite element model of (a) structure and (b) liquid

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Fig. 4

Finite element model of (a) container and (b) liquid

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Fig. 5

Modal shapes for structural modes m = 1 and n = 3 (f = 1494.28 Hz) and m = 2 and n = 3 (f = 2009.52 Hz).

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