Research Papers: Fluid-Structure Interaction

Coupling Analysis of Liquid Sloshing and Structural Vibration Using General Software

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

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

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.

Copyright © 2015 by ASME
Your Session has timed out. Please sign back in to continue.


Abramson, H. N., 1996, The Dynamic Behavior of Liquids in Moving Containers, NASA SP–106, National Aeronautics and Space Administration, Washington, DC.
Kruntcheva, M. R., 2007, “Free Vibrations of Cylindrical Storage Tanks: Finite-Element Analysis and Experiments,” J. Eng. Mech. ASCE, 133(6), pp. 728–733. [CrossRef]
Maekawa, A., Shimizu, Y., Suzuki, M., and Fujita, K., 2010, “Vibration Test of a 1/10 Reduced Scale Model of Cylindrical Water Storage Tank,” ASME J. Pressure Vessel Technol., 132(5), p. 051801. [CrossRef]
Ito, T., Morita, H., Hamada, K., Sugiyama, A., Kawamoto, Y., Ogo, H., and Shirai, E., 2003, “Investigation on Buckling Behavior of Cylindrical Liquid Storage Tanks Under Seismic Excitation: 1st Report—Investigation on Elephant Foot Bulge,” ASME Paper No. 2003-2120PVP, pp. 193–201.
Love, J. S., and Tait, M. J., 2011, “Equivalent Linearized Mechanical Model for Tuned Liquid Dampers of Arbitrary Tank Shape,” ASME J. Fluids Eng. Trans., 133(6), p. 061105. [CrossRef]
Lu, J., Wang, S. M., and Wang, T. S., 2012, “Coupling Dynamic Analysis of a Liquid-Filled Spherical Container Subject to Arbitrary Excitation,” Acta Mech. Sin., 28(4), pp. 1154–1162. [CrossRef]
Gavrilova, E., 2007, “Coupled Frequencies of a Fluid in a Circular Cylindrical Tank With a Membrane on Its Upper End and Permanent Axial Loading,” J. Vib. Control, 13(9–10), pp. 1355–1360. [CrossRef]
Natsiavas, S., and Babcock, C. D., 1987, “Buckling at the Top of a Fluid Filled Tank During Base Excitation,” ASME J. Pressure Vessel Technol., 109(4), pp. 374–380. [CrossRef]
Rebouillat, S., and Liksonov, D., 2010, “Fluid-Structure Interaction in Partially Filled Liquid Containers: A Comparative Review of Numerical Approaches,” Comput. Fluids, 39(5), pp. 739–746. [CrossRef]
Hou, G. N., Wang, J., and, Layton, A., 2012, “Numerical Methods for Fluid-Structure Interaction–A Review,” Commun. Comput. Phys.12(2), pp. 337–377. [CrossRef]
Fisher, D. F., and Rammerstorfer, F. G., 1985, “Local Instabilities of Liquid Filled Cylindrical Shells Under Earthquake Excitation,” SMiRT 7th, K4/8, pp. 305–312.
Mitra, S., and Sinhamahapatra, K. P., 2008, “2D Simulation of Fluid-Structure Interaction Using Finite Element Method,” Finite Elem. Anal. Des.45(1), pp. 52–59 [CrossRef]
Biswal, K. C., and Bhattacharyya, S. K., 2010, “Dynamic Response of Structure Coupled With Liquid Sloshing in a Laminated Composite Cylindrical Tank With Baffle,” Finite Elem. Anal. Des., 46(11), pp. 966–981. [CrossRef]
Souli, M., and Aquelet, N., 2011, “Fluid Structure Interaction for Hydraulic Problems,” Houille Blanche-Rev. Int. de l‘Eau, 6, pp. 5–10. [CrossRef]
Yang, Q., Jones, V., and McCue, L., 2012, “Free-Surface Flow Interactions With Deformable Structures Using an SPH–FEM Model,” Ocean Eng., 55, pp. 136–147. [CrossRef]
Wang, W. L., and Du, Z. R., 1985, Structural Vibration and Dynamic Substructure Method, 1st ed., Fudan University Press, Shanghai [in Chinese].
Ohayon, R., 2001, “Reduced Symmetric Models for Modal Analysis of Internal Structural-Acoustic and Hydroelastic-Sloshing Systems,” Comput. Methods Appl. Mech. Eng., 190(24–25), pp. 3009–3019. [CrossRef]
Tokuda, N., Sakurai, T., and Teraoku, T., 1995, “Sloshing Analysis Method Using Existing FEM Structural Analysis Code,” ASME J. Pressure Vessel Technol., 117(3), pp. 268–272. [CrossRef]
Zhu, L., 2012, Dynamics Analysis and Simulation for Fluid-Structure Coupled Vibration of Rockets' Propellant Tank, Fudan University, Shanghai [in Chinese].


Grahic Jump Location
Fig. 1

Description of the system and notations

Grahic Jump Location
Fig. 2

Model of propellant tank

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

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

Grahic Jump Location
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).




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In