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Simplified earthquake response analysis of rectangular liquid storage tanks considering fluid-structure interactions
Abstract A simplified model of a rectangular liquid storage tank is proposed to estimate the earthquake responses of the system while considering the effects of fluid-structure interactions. The complicated three-dimensional structural behavior of a rectangular tank is represented by the simple combination of the fundamental modes of a rectangular-ring-shaped frame structure and a cantilever beam. The governing equation for the system is derived from Lagrange’s equation. The earthquake responses of deflection, hydrodynamic pressure and its resultant force and moment, base shear and overturning moment due to the structural deformation are obtained from the solution of the governing equation. The effective masses of the system and their heights are presented with the effective added masses and their heights from the hydrodynamic effects. The total earthquake responses are obtained with the convective earthquake responses taken into consideration. The proposed simplified model is applied to example rectangular liquid storage tanks with various aspect ratios, and the accuracy of the model is demonstrated. The proposed simplified model can be employed for the seismic design of a rectangular liquid storage tank, and reliable estimations for earthquake responses of the considered fluid-structure interaction system are obtained without sophisticated and/or complicated dynamic analysis.
Highlights Simple model for earthquake response analysis of a rectangular liquid storage tank. Estimation of earthquake responses considering fluid-structure interaction effects. Derivation of a governing equation with an approximated fundamental mode. Effective masses and their heights to estimate earthquake responses. Verification of the proposed simplified model for a rectangular liquid storage tank.
Simplified earthquake response analysis of rectangular liquid storage tanks considering fluid-structure interactions
Abstract A simplified model of a rectangular liquid storage tank is proposed to estimate the earthquake responses of the system while considering the effects of fluid-structure interactions. The complicated three-dimensional structural behavior of a rectangular tank is represented by the simple combination of the fundamental modes of a rectangular-ring-shaped frame structure and a cantilever beam. The governing equation for the system is derived from Lagrange’s equation. The earthquake responses of deflection, hydrodynamic pressure and its resultant force and moment, base shear and overturning moment due to the structural deformation are obtained from the solution of the governing equation. The effective masses of the system and their heights are presented with the effective added masses and their heights from the hydrodynamic effects. The total earthquake responses are obtained with the convective earthquake responses taken into consideration. The proposed simplified model is applied to example rectangular liquid storage tanks with various aspect ratios, and the accuracy of the model is demonstrated. The proposed simplified model can be employed for the seismic design of a rectangular liquid storage tank, and reliable estimations for earthquake responses of the considered fluid-structure interaction system are obtained without sophisticated and/or complicated dynamic analysis.
Highlights Simple model for earthquake response analysis of a rectangular liquid storage tank. Estimation of earthquake responses considering fluid-structure interaction effects. Derivation of a governing equation with an approximated fundamental mode. Effective masses and their heights to estimate earthquake responses. Verification of the proposed simplified model for a rectangular liquid storage tank.
Simplified earthquake response analysis of rectangular liquid storage tanks considering fluid-structure interactions
Lee, Jin Ho (Autor:in) / Cho, Jeong-Rae (Autor:in)
Engineering Structures ; 300
09.11.2023
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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