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Research Papers: Fluid-Structure Interaction

Masses of Fluid for Cylindrical Tanks in Rock With Partial Uplift of Bottom Plate

[+] Author and Article Information
Tomoyo Taniguchi

Department of Management of Social Systems
and Civil Engineering,
Tottori University,
Tottori 680-8552, Japan

Yukihiro Katayama

Kyoto Prefecture,
Kyoto 602-8570, Japan

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received December 5, 2014; final manuscript received February 6, 2016; published online April 29, 2016. Assoc. Editor: Jong Chull Jo.

J. Pressure Vessel Technol 138(5), 051301 (Apr 29, 2016) (13 pages) Paper No: PVT-14-1197; doi: 10.1115/1.4032784 History: Received December 05, 2014; Revised February 06, 2016

This study proposes the use of a slice model consisting of a set of thin rectangular tanks for evaluating the masses of fluid contributing to the rocking motion of cylindrical tanks; the effective mass of fluid for rocking motion, that for rocking–bulging interaction, effective moment inertia of fluid for rocking motion and its centroid. They are mathematically or numerically quantified, normalized, tabulated, and depicted as functions of the aspect of tanks for different values of the ratio of the uplift width of the tank bottom plate to the diameter of tank for the designer's convenience.

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Copyright © 2016 by ASME
Topics: Fluids , Fluid density
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References

Malhotra, P. K. , and Veletsos, A. S. , 1994, “Uplifting Response of Unanchored Liquid-Storage Tanks,” J. Struct. Div., Am. Soc. Civ. Eng., 120(12), pp. 3525–3547. [CrossRef]
Clough, D. P. , 1977, “Experimental Evaluation of Seismic Design Methods for Broad Cylindrical Tanks,” University of California, Berkeley, CA, Report No. UCB/EERC-77/10, PB-272 280.
CEN, 2006, “Eurocode 8, Design of Structures for Earthquake Resistance: Silos, Tanks and Pipelines. Part 4,” European Committee for Standardization (CEN), Brussels, Belgium, p. 73.
Veletsos, A. S. , and Tang, Y. , 1987, “Rocking Response of Liquid Storage Tanks,” J. Eng. Mech. Div., Am. Soc. Civ. Eng., 113(11), pp. 1774–1792. [CrossRef]
Veletsos, A. S. , and Tang, Y. , 1990, “Soil-Structure Interaction Effects for Laterally Excited Liquid Storage Tanks,” Earthquake Engineering and Structural Dynamics, Vol. 19, Wiley, Malden, MA, pp. 473–496.
Taniguchi, T. , 2004, “Experimental and Analytical Studies of Rocking Mechanics of Unanchored Flat-Bottom Cylindrical Shell Model Tanks,” ASME Paper No. PVP2004-2913.
Taniguchi, T. , 2005, “Rocking Mechanics of Flat-Bottom Cylindrical Shell Model Tanks Subjected to Harmonic Excitation,” ASME J. Pressure Vessel Technol., 127(4), pp. 373–386. [CrossRef]
Housner, G. W. , 1957, “Dynamic Pressure on Accelerated Fluid Containers,” Bull. Seismol. Soc. Am., 47(2), pp. 15–35.
Taniguchi, T. , and Shirasaki, T. , 2013, “Approximation of Fluid Pressure on the Cylindrical Tanks in Rock With the Crescent-Like Uplift Part in the Bottom Plate by Radially Sliced Tank Model,” ASME Paper No. PVP2013-97306.
Taniguchi, T. , 2013, “Contributions of Fluid to Rocking-Bulging Interaction of Rectangular Tanks Whose Walls Are Rigid and Bottom Plate Rectilinearly Uplifts,” ASME J. Pressure Vessel Technol., 135(1), p. 011304. [CrossRef]
Taniguchi, T. , and Ando, Y. , 2010, “Fluid Pressures on Unanchored Rigid Rectangular Tanks Under Action of Uplifting Acceleration,” ASME J. Pressure Vessel Technol., 132(1), p. 011801. [CrossRef]
Taniguchi, T. , and Segawa, T. , 2009, “Effective Mass of Fluid for Rocking Motion of Flat-Bottom Cylindrical Tanks,” ASME Paper No. PVP2009-77580.
Taniguchi, T. , and Okui, D. , 2014, “A Case Study of Evaluation of Tank Rock Motion With Simplified Analysis Procedure,” ASME Paper No. PVP2014-28635.
JSCE, 1985, Vibration Handbook for Civil Engineers, Japan Society of Civil Engineers, Tokyo, pp. 414–415 (in Japanese).

Figures

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Fig. 1

Cylindrical tank, slice model, and their coordinates

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Fig. 2

(a) Slice model which has an unuplift bottom part and (b) slice model whose bottom part undergoes uplift

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Fig. 3

(a) Boundary conditions for the slice model which has an unuplift bottom part and (b) boundary conditions for the slice model whose bottom part undergoes uplift

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Fig. 4

Equilibrium of forces acting on a small volume in the slice model in rocking motion

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Fig. 5

Effective mass of fluid for rocking motion

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Fig. 6

Effective moment inertia of fluid for rocking motion

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Fig. 7

(a) Horizontal distance toward the centroid of effective mass of fluid for rocking motion and (b) vertical distance toward the centroid of effective mass of fluid for rocking motion

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Fig. 8

Effective moment inertia of fluid for rocking motion

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Fig. 9

Boundary conditions of slice model for specifying the tank bulging motion

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Fig. 10

Equilibrium of forces acting on a small volume in the slice model in bulging motion

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Fig. 11

Evaluation accuracy of effective mass of fluid for bulging motion

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Fig. 12

Effective mass of fluid for rocking–bulging interaction

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