The sloshing analysis of liquid storage tanks by the finite element method is basically categorized into two approaches, Lagrangian approach and Eulerian approach. In the Lagragian approach, the behavior of the fluid is expressed in terms of the displacements at nodal points. The advantage of the Lagragian method is that the computer code can be easily developed to modify an existing structural analysis code. The disadvantage is that some spurious modes are included in the vibration modes. The Lagrangian method is widely used in two- and three-dimensional problems. On the other hand, it has not been reported its applicability to the axisymmetric problem. This paper presents the applicability of the Lagragian method to the axisymmetric sloshing problem. The eigenvalue of an elemental stiffness matrix is analyzed in order to investigate the characteristics of the rotational stiffness to the compressibility of the fluid. As a result, this method is found to be difficult to apply to the axisymmetric problem if the equation of motion is directly solved using time integration. However, it gives the highly precise response solutions if the only sloshing modes are taken out and the modal analysis technique is used.
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ASME 2011 Pressure Vessels and Piping Conference
July 17–21, 2011
Baltimore, Maryland, USA
Conference Sponsors:
- Pressure Vessels and Piping Division
ISBN:
978-0-7918-4454-0
PROCEEDINGS PAPER
Lagrangian Finite Element Formulation to Axisymmetric Liquid Sloshing
Shoichi Yoshida,
Shoichi Yoshida
Yokohama National University, Yokohama, Kanagawa, Japan
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Kazuyoshi Sekine,
Kazuyoshi Sekine
Yokohama National University, Yokohama, Kanagawa, Japan
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Tomohiko Tsuchida,
Tomohiko Tsuchida
Japan Oil, Gas and Metals National Corporation, Kawasaki, Kanagawa, Japan
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Katsuki Iwata
Katsuki Iwata
Japan Oil, Gas and Metals National Corporation, Kawasaki, Kanagawa, Japan
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Shoichi Yoshida
Yokohama National University, Yokohama, Kanagawa, Japan
Kazuyoshi Sekine
Yokohama National University, Yokohama, Kanagawa, Japan
Tomohiko Tsuchida
Japan Oil, Gas and Metals National Corporation, Kawasaki, Kanagawa, Japan
Katsuki Iwata
Japan Oil, Gas and Metals National Corporation, Kawasaki, Kanagawa, Japan
Paper No:
PVP2011-57450, pp. 391-398; 8 pages
Published Online:
May 21, 2012
Citation
Yoshida, S, Sekine, K, Tsuchida, T, & Iwata, K. "Lagrangian Finite Element Formulation to Axisymmetric Liquid Sloshing." Proceedings of the ASME 2011 Pressure Vessels and Piping Conference. Volume 4: Fluid-Structure Interaction. Baltimore, Maryland, USA. July 17–21, 2011. pp. 391-398. ASME. https://doi.org/10.1115/PVP2011-57450
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