Nonlinear liquid oscillation in a cylindrical tank with an eccentric core barrel

2012 ◽  
Vol 35 ◽  
pp. 120-132 ◽  
Author(s):  
Hiroki Takahara ◽  
Kensuke Hara ◽  
Takeshi Ishida
Keyword(s):  
Cylindrical Tank ◽  
Liquid Oscillation

scholarly journals Nonlinear Liquid Oscillation in an Elastic Circular Cylindrical Tank Subjected to Pitching Excitation.

1993 ◽  
Vol 59 (561) ◽  
pp. 1378-1385 ◽  
Author(s):  
Hiroki Takahara ◽  
Koji Kimura ◽  
Takeshi Itoh ◽  
Masaru Sakata
Keyword(s):  
Cylindrical Tank ◽  
Liquid Oscillation

scholarly journals 249 Nonlinear Liquid Oscillation in a Cylindrical Tank with Eccentric Core Barrels

2008 ◽  
Vol 2008 (0) ◽  
pp. _249-1_-_249-6_
Author(s):  
Hiroki TAKAHARA ◽  
Takashi ICHIHARA ◽  
Kensuke HARA
Keyword(s):  
Cylindrical Tank ◽  
Liquid Oscillation

scholarly journals Nonlinear Liquid Oscillation in a Circular Cylindrical Tank Subjected to Pitching Excitation.

1992 ◽  
Vol 58 (556) ◽  
pp. 3564-3571 ◽  
Author(s):  
Koji KIMURA ◽  
Hiroki TAKAHARA ◽  
Takeshi ITOH ◽  
Masaru SAKATA
Keyword(s):  
Cylindrical Tank ◽  
Liquid Oscillation

736 Nonlinear Liquid Oscillation in a Cylindrical Tank with An Eccentric Core Barrel

2004 ◽  
Vol 2004 (0) ◽  
pp. _736-1_-_736-6_
Author(s):  
Hiroki TAKAHARA ◽  
Kensuke HARA ◽  
Koichiro HIRANUMA ◽  
Takeshi ISHIDA
Keyword(s):  
Cylindrical Tank ◽  
Liquid Oscillation

Development of Hollow Cylindrical Tank with Blow Forming of Titanium Sheets

2009 ◽  
Vol 2 (1) ◽  
pp. 258-262 ◽  
Author(s):  
Ho-Sung Lee ◽  
Jong-Hoon Yoon ◽  
Yeong-Moo Yi
Keyword(s):  
Cylindrical Tank

Fluid Pressures on Unanchored Rigid Flat-Bottom Cylindrical Tanks Under Action of Uplifting Acceleration

2009 ◽  
Vol 132 (1) ◽  
Author(s):  
Tomoyo Taniguchi ◽  
Yoshinori Ando
Keyword(s):  
Velocity Potential ◽  
Fluid Velocity ◽  
Fluid Pressure ◽  
Angular Acceleration ◽  
Bottom Plate ◽  
Center Line ◽  
Cylindrical Tank ◽  
Cylindrical Coordinates ◽  
Flat Bottom ◽  
Cylindrical Tanks

To protect flat-bottom cylindrical tanks against severe damage from uplift motion, accurate evaluation of accompanying fluid pressures is indispensable. This paper presents a mathematical solution for evaluating the fluid pressure on a rigid flat-bottom cylindrical tank in the same manner as the procedure outlined and discussed previously by the authors (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). With perfect fluid and velocity potential assumed, the Laplace equation in cylindrical coordinates gives a continuity equation, while fluid velocity imparted by the displacement (and its time derivatives) of the shell and bottom plate of the tank defines boundary conditions. The velocity potential is solved with the Fourier–Bessel expansion, and its derivative, with respect to time, gives the fluid pressure at an arbitrary point inside the tank. In practice, designers have to calculate the fluid pressure on the tank whose perimeter of the bottom plate lifts off the ground like a crescent in plan view. However, the asymmetric boundary condition given by the fluid velocity imparted by the deformation of the crescent-like uplift region at the bottom cannot be expressed properly in cylindrical coordinates. This paper examines applicability of a slice model, which is a rigid rectangular tank with a unit depth vertically sliced out of a rigid flat-bottom cylindrical tank with a certain deviation from (in parallel to) the center line of the tank. A mathematical solution for evaluating the fluid pressure on a rigid flat-bottom cylindrical tank accompanying the angular acceleration acting on the pivoting bottom edge of the tank is given by an explicit function of a dimensional variable of the tank, but with Fourier series. It well converges with a few first terms of the Fourier series and accurately calculates the values of the fluid pressure on the tank. In addition, the slice model approximates well the values of the fluid pressure on the shell of a rigid flat-bottom cylindrical tank for any points deviated from the center line. For the designers’ convenience, diagrams that depict the fluid pressures normalized by the maximum tangential acceleration given by the product of the angular acceleration and diagonals of the tank are also presented. The proposed mathematical and graphical methods are cost effective and aid in the design of the flat-bottom cylindrical tanks that allow the uplifting of the bottom plate.

Observation of a standing kink cross wave parametrically excited

1991 ◽  
Vol 434 (1891) ◽  
pp. 435-440 ◽  
Keyword(s):  
Solitary Waves ◽  
Theoretical Explanation ◽  
Vertical Oscillation ◽  
Cylindrical Tank ◽  
Hyperbolic Tangent ◽  
Parametrically Excited ◽  
Short Side ◽  
Kink Wave ◽  
Forced Waves ◽  
Wave Properties

A layer of water in a cylindrical tank is known to be capable of sustaining standing solitary waves within a certain parametric domain when the tank is excited under vertical oscillation. A new mode of forced waves is discovered to exist in a different parametric domain for rectangular tanks with the wave sloshing across the short side of the tank and with its profile modulated by one or more hyperbolic-tangent, or kink-wave-like envelopes. A theoretical explanation for the kink wave properties is provided. Experiments were performed to confirm their existence.

Response of Liquid in Cylindrical Tank with Rigid Annual Baffle Considering Damping Effect

2011 ◽  
Vol 255-260 ◽  
pp. 3687-3691 ◽  
Author(s):  
Jia Dong Wang ◽  
Ding Zhou ◽  
Wei Qing Liu
Keyword(s):  
Free Surface ◽  
Dynamic Response ◽  
Potential Function ◽  
Natural Frequencies ◽  
Damping Ratio ◽  
Cylindrical Tank ◽  
Generalized Coordinates ◽  
Damping Effect ◽  
Total Potential ◽  
Free Surface Wave

Sloshing response of liquid in a rigid cylindrical tank with a rigid annual baffle under horizontal sinusoidal loads was studied. The effect of the damping was considered in the analysis. Natural frequencies and modes of the system have been calculated by using the Sub-domain method. The total potential function under horizontal loads is assumed to be the sum of the tank potential function and the liquid perturbed function. The expression of the liquid perturbed function is obtained by introducing the generalized coordinates. Substituting potential functions into the free surface wave conditions, the dynamic response equations including the damping effect are established. The damping ratio is calculated by Maleki method. The liquid potential are obtained by solving the dynamic response equations of the system.

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