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RESEARCH PAPERS

Rocking Mechanics of Flat-Bottom Cylindrical Shell Model Tanks Subjected to Harmonic Excitation

[+] Author and Article Information
Tomoyo Taniguchi

Department of Civil Engineering, Tottori University, 4-101 Koyama-Minami Tottori, Tottori, 680-8552, Japant_tomoyo@cv.tottori-u.ac.jp

J. Pressure Vessel Technol 127(4), 373-386 (Jun 02, 2005) (14 pages) doi:10.1115/1.2042473 History: Received October 29, 2004; Revised June 02, 2005

The rocking motion of the tanks is complex and not fully understood. Using model tanks that possess concentric rigid-doughnut-shaped bottom plates, this paper tries to clarify its fundamental mechanics through the analog of rocking motion of rigid bodies. Introducing an effective mass for the internal liquid for rocking motion enables the development of a dynamical system including the rocking-bulging interaction motion and the effective mass of liquid for the interaction motion. Since the base shear and uplift displacement observed during shaking tests match well with computed values, the proposed procedure can explain the mechanics of the rocking motion of the model tanks used herein.

Copyright © 2005 by American Society of Mechanical Engineers
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Figures

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Figure 1

Mechanical model of tanks. (a) Analytical model; (b) Idealized form of the effective mass for rocking motion; (c) Coordinate system for impulsive motion.

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Figure 2

Resolved components of rotational inertia forces on Mrb (around O)

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Figure 3

Resolved components of rotational inertia forces on Mrb (around O′)

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Figure 4

Resolved components of rotational inertia forces on ME (around O)

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Figure 5

Resolved components of rotational inertia forces on ME (around O′)

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Figure 6

Ratio of effective mass of liquid for rocking-bulging interaction motions to that for impulsive mass

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Figure 7

Test equipment for a rocking motion of the tank

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Figure 8

Results of free rocking motion test [full rigid bottom plate (δ=0)]. (a) Uplift displacement; (b) Base shear.

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Figure 9

Results of free rocking motion test [half rigid bottom plate (δ=0.5)]. (a) Uplift displacement; (b) Base shear.

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Figure 10

Results of free rocking motion test [a quarter rigid bottom plate (δ=0.75)]. (a) Uplift displacement; (b) Base shear.

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Figure 11

Results of free rocking motion test [A tenth rigid bottom plate (δ=0.9)]. (a) Uplift displacement; (b) Base shear.

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Figure 12

Comparison of experimental results with analytical ones during steady rocking motion of the tank [full rigid bottom plate (δ=0)]. (a) Input acceleration; (b) Base shear; (c) Uplift displacement.

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Figure 13

Comparison of experimental results with analytical ones during steady rocking motion of the tank [half rigid bottom plate (δ=0.5)]. (a) Input acceleration; (b) Base shear; (c) Uplift displacement.

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Figure 14

Comparison of experimental results with analytical ones during steady rocking motion of the tank [a quarter rigid bottom plate (δ=0.75)]. (a) Input acceleration; (b) Base shear; (c) Uplift displacement.

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Figure 15

Comparison of experimental results with analytical ones during steady rocking motion of the tank [A tenth rigid bottom plate (δ=0.9)]. (a) Input acceleration; (b) Base shear; (c) Uplift displacement.

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Figure 16

Mechanical model of fluid motion. (a) Coordinate system for rocking motion; (b) Equilibrium of shearing forces.

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