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Research paper thumbnail of Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions

Journal of Sound and Vibration, 2008

The influence of nonlinear wave theory on the sloshing natural periods and their modal pressure d... more The influence of nonlinear wave theory on the sloshing natural periods and their modal pressure distributions are investigated for rectangular tanks under the assumption of two-dimensional behavior. Natural periods and mode shapes are computed and compared for both linear wave theory (LWT) and nonlinear wave theory (NLWT) models, using the finite element package ABAQUS. Linear wave theory is implemented in an acoustic model, whereas a plane strain problem with large displacements is used in NLWT. Pressure distributions acting on the tank walls are obtained for the first three sloshing modes using both linear and nonlinear wave theory. It is found that the nonlinearity does not have significant effects on the natural sloshing periods. For the sloshing pressures on the tank walls, different distributions were found using linear and nonlinear wave theory models. However, in all cases studied, the linear wave theory conservatively estimated the magnitude of the pressure distribution, whereas larger pressures resultant heights were obtained when using the nonlinear theory. It is concluded that the nonlinearity of the surface wave does not have major effects in the pressure distribution on the walls for rectangular tanks.

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Research paper thumbnail of DAMAGE DUE TO BUCKLING IN ABOVEGROUND STORAGE TANKS

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Research paper thumbnail of Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions

Journal of Sound and Vibration, 2008

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Research paper thumbnail of Influence of the roof on the natural periods of empty steel tanks

Engineering Structures, 2003

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Research paper thumbnail of Effect of Prestress States on the Impulsive Modes of Vibration of Cylindrical Tank-liquid Systems under Horizontal Motions

Journal of Vibration and Control, 2005

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Research paper thumbnail of Fundamental modes of tank-liquid systems under horizontal motions

Engineering Structures, 2006

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Research paper thumbnail of A Static Nonlinear Procedure for the Evaluation of the Elastic Buckling of Anchored Steel Tanks Due to Earthquakes

Journal of Earthquake Engineering, 2008

Ground-supported steel tanks experienced extensive damage in past earthquakes. The failure of tan... more Ground-supported steel tanks experienced extensive damage in past earthquakes. The failure of tanks in earthquakes may cause severe environmental damage and economic losses. This study deals with the evaluation of the elastic buckling of above-ground steel tanks anchored to the foundation due to seismic shaking. The proposed nonlinear static procedure is based on the capacity spectrum method (CSM) utilized for the seismic evaluation of buildings. Different from the standard CSM, the results are not the base shear and the maximum displacement of a characteristic point of the structure but the minimum value of the horizontal peak ground acceleration (PGA) that produces buckling in the tank shell. Three detailed finite element models of tank-liquid systems with height to diameter ratios H/D of 0.40, 0.63, and 0.95 are used to verify the methodology. The 1997 UBC design spectrum and response spectra of records of the 1986 El Salvador and 1966 Parkfield earthquakes are used as seismic demand. The estimates of the PGA for the occurrence of first elastic buckling obtained with the proposed nonlinear static procedure were quite accurate compared with those calculated with more elaborate dynamic buckling studies. For all the cases considered, the proposed methodology yielded slightly smaller values of the critical PGA for the first elastic buckling compared to the dynamic buckling results.

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Research paper thumbnail of Dynamic buckling of anchored steel tanks subjected to horizontal earthquake excitation

Journal of Constructional Steel Research, 2006

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Research paper thumbnail of Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions

Journal of Sound and Vibration, 2008

The influence of nonlinear wave theory on the sloshing natural periods and their modal pressure d... more The influence of nonlinear wave theory on the sloshing natural periods and their modal pressure distributions are investigated for rectangular tanks under the assumption of two-dimensional behavior. Natural periods and mode shapes are computed and compared for both linear wave theory (LWT) and nonlinear wave theory (NLWT) models, using the finite element package ABAQUS. Linear wave theory is implemented in an acoustic model, whereas a plane strain problem with large displacements is used in NLWT. Pressure distributions acting on the tank walls are obtained for the first three sloshing modes using both linear and nonlinear wave theory. It is found that the nonlinearity does not have significant effects on the natural sloshing periods. For the sloshing pressures on the tank walls, different distributions were found using linear and nonlinear wave theory models. However, in all cases studied, the linear wave theory conservatively estimated the magnitude of the pressure distribution, whereas larger pressures resultant heights were obtained when using the nonlinear theory. It is concluded that the nonlinearity of the surface wave does not have major effects in the pressure distribution on the walls for rectangular tanks.

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Research paper thumbnail of DAMAGE DUE TO BUCKLING IN ABOVEGROUND STORAGE TANKS

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Linear and nonlinear 2D finite element analysis of sloshing modes and pressures in rectangular tanks subject to horizontal harmonic motions

Journal of Sound and Vibration, 2008

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Research paper thumbnail of Influence of the roof on the natural periods of empty steel tanks

Engineering Structures, 2003

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Research paper thumbnail of Effect of Prestress States on the Impulsive Modes of Vibration of Cylindrical Tank-liquid Systems under Horizontal Motions

Journal of Vibration and Control, 2005

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Research paper thumbnail of Fundamental modes of tank-liquid systems under horizontal motions

Engineering Structures, 2006

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Research paper thumbnail of A Static Nonlinear Procedure for the Evaluation of the Elastic Buckling of Anchored Steel Tanks Due to Earthquakes

Journal of Earthquake Engineering, 2008

Ground-supported steel tanks experienced extensive damage in past earthquakes. The failure of tan... more Ground-supported steel tanks experienced extensive damage in past earthquakes. The failure of tanks in earthquakes may cause severe environmental damage and economic losses. This study deals with the evaluation of the elastic buckling of above-ground steel tanks anchored to the foundation due to seismic shaking. The proposed nonlinear static procedure is based on the capacity spectrum method (CSM) utilized for the seismic evaluation of buildings. Different from the standard CSM, the results are not the base shear and the maximum displacement of a characteristic point of the structure but the minimum value of the horizontal peak ground acceleration (PGA) that produces buckling in the tank shell. Three detailed finite element models of tank-liquid systems with height to diameter ratios H/D of 0.40, 0.63, and 0.95 are used to verify the methodology. The 1997 UBC design spectrum and response spectra of records of the 1986 El Salvador and 1966 Parkfield earthquakes are used as seismic demand. The estimates of the PGA for the occurrence of first elastic buckling obtained with the proposed nonlinear static procedure were quite accurate compared with those calculated with more elaborate dynamic buckling studies. For all the cases considered, the proposed methodology yielded slightly smaller values of the critical PGA for the first elastic buckling compared to the dynamic buckling results.

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Research paper thumbnail of Dynamic buckling of anchored steel tanks subjected to horizontal earthquake excitation

Journal of Constructional Steel Research, 2006

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