scholarly journals SLOSHING IN A CYLINDRICAL LIQUID STORAGE TANK WITH A SINGLE-DECK TYPE FLOATING ROOF UNDER SEISMIC EXCITATION : Solution based on dry-mode expansion for coupled deck-pontoon system

2007 ◽  
Vol 72 (612) ◽  
pp. 87-94 ◽  
Author(s):  
Tetsuya MATSUI
Keyword(s):  
Storage Tank ◽  
Seismic Excitation ◽  
Mode Expansion ◽  
Liquid Storage ◽  
Liquid Storage Tank

Sloshing in a Cylindrical Liquid Storage Tank With a Single-Deck Type Floating Roof Under Seismic Excitation

2007 ◽  
Author(s):  
Tetsuya Matsui
Keyword(s):  
Storage Tank ◽  
Seismic Excitation ◽  
Linear Potential ◽  
Vibration Modes ◽  
Cylindrical Coordinates ◽  
Liquid Storage ◽  
Explicit Analytical Solution ◽  
Expansion Technique ◽  
Liquid Storage Tank ◽  
Linear Potential Theory

An explicit analytical solution is derived to predict the sloshing response of a cylindrical liquid storage tank with a single-deck type floating roof under seismic excitation. The floating roof is composed of an inner deck which may be idealized as an isotropic elastic plate with uniform thickness and connected to an outer pontoon which can be considered as an elastic curved beam. The contained liquid is assumed to be inviscid, incompressible and irrotational. By expanding the response of the floating roof into free vibration modes in air and applying the Fourier-Bessel expansion technique in cylindrical coordinates, the solution is obtained in an explicit form which is exact within the framework of linear potential theory. Numerical results are presented to investigate the effect of the type (single-deck or double-deck) and stiffness of the floating roof on the sloshing response.

Sloshing in a Cylindrical Liquid Storage Tank With a Floating Roof Under Seismic Excitation

2006 ◽  
Author(s):  
Tetsuya Matsui
Keyword(s):  
Storage Tank ◽  
Expansion Method ◽  
Seismic Excitation ◽  
Design Stage ◽  
Linear Potential ◽  
Early Design Stage ◽  
Liquid Storage ◽  
Preliminary Study ◽  
Liquid Storage Tank ◽  
Linear Potential Theory

An analytical solution is presented to predict the sloshing response of a cylindrical liquid storage tank with a floating roof under seismic excitation. The contained liquid is assumed to be inviscid, incompressible and irrotational, while the floating roof is idealized as an isotropic elastic plate with uniform stiffness and mass. The dynamic interaction between the floating roof and the liquid is taken into account exactly within the framework of linear potential theory. By expanding the response of the floating roof into free vibration modes in air and employing the Fourier-Bessel expansion method in cylindrical coordinates, the solution is obtained in an explicit form which is useful for parametric understanding of the sloshing behavior and preliminary study in the early design stage. Numerical results are also provided to investigate the effect of the stiffness and mass of the floating roof on the sloshing response.

Sloshing in a Cylindrical Liquid Storage Tank With a Single-Deck Type Floating Roof Under Seismic Excitation

2009 ◽  
Vol 131 (2) ◽  
Author(s):  
Tetsuya Matsui
Keyword(s):  
Storage Tank ◽  
Seismic Excitation ◽  
Linear Potential ◽  
Vibration Modes ◽  
Cylindrical Coordinates ◽  
Liquid Storage ◽  
Explicit Analytical Solution ◽  
Expansion Technique ◽  
Liquid Storage Tank ◽  
Linear Potential Theory

An explicit analytical solution is derived for sloshing in a cylindrical liquid storage tank with a single-deck type floating roof under seismic excitation. The floating roof is composed of an inner deck, which may be idealized as an isotropic elastic plate with uniform thickness and mass, and connected to an outer pontoon, which can be modeled as an elastic curved beam. The contained liquid is assumed to be inviscid, incompressible, and irrotational. By expanding the response of the floating roof into free-vibration modes in air and applying the Fourier–Bessel expansion technique in cylindrical coordinates, the solution is obtained in an explicit form, which is exact within the framework of linear potential theory. Numerical results are presented to investigate the effect of the type (single-deck or double-deck) and stiffness of the floating roof on the sloshing response.

Sloshing in a Cylindrical Liquid Storage Tank With a Floating Roof Under Seismic Excitation

2006 ◽  
Vol 129 (4) ◽  
pp. 557-566 ◽  
Author(s):  
Tetsuya Matsui
Keyword(s):  
Storage Tank ◽  
Expansion Method ◽  
Seismic Excitation ◽  
Design Stage ◽  
Linear Potential ◽  
Early Design Stage ◽  
Liquid Storage ◽  
Preliminary Study ◽  
Liquid Storage Tank ◽  
Linear Potential Theory

An analytical solution is presented to predict the sloshing response of a cylindrical liquid storage tank with a floating roof under seismic excitation. The contained liquid is assumed to be inviscid, incompressible, and irrotational, while the floating roof is idealized as an isotropic elastic plate with uniform stiffness and mass. The dynamic interaction between the floating roof and the liquid is taken into account exactly within the framework of linear potential theory. By expanding the response of the floating roof into free-vibration modes in air and employing the Fourier–Bessel expansion method in cylindrical coordinates, the solution is obtained in an explicit form, which will be useful for parametric understanding of the sloshing behavior and preliminary study in the early design stage. Numerical results are also provided to investigate the effect of the stiffness and mass of the floating roof on the sloshing response.

Model Tests on Sloshing of a Floating Roof in a Cylindrical Liquid Storage Tank Under Seismic Excitation

2008 ◽  
Author(s):  
Takashi Nagaya ◽  
Tetsuya Matsui ◽  
Takuo Wakasa
Keyword(s):  
Analytical Solutions ◽  
Storage Tank ◽  
High Speed ◽  
Shaking Table ◽  
Seismic Excitation ◽  
Linear Potential ◽  
Resonance Oscillation ◽  
Oil Storage ◽  
Liquid Storage ◽  
Liquid Storage Tank

Shaking table tests are carried out to validate the analytical solutions for the sloshing of a floating roof in a cylindrical liquid storage tank under seismic excitation. The experimental tank is a 1/100 scaled model of typical oil-storage tank of 100,000m3 capacity, made of acrylic tube of 800mm in diameter. The tests are performed using three types of floating roof model: (1) a roof composed of a pontoon ring only, (2) a roof composed of uniform isotropic plate, and (3) a single-deck type roof composed of an inner deck and an outer pontoon. The motion capture system using high-speed micro cameras is employed to measure the roof displacement over the whole roof surface. The test results are compared with the analytical solutions based on linear potential theory. Overall agreement is confirmed between theory and experiment, while nonlinear bi-harmonic resonance oscillation is observed to occur in certain cases.

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