Abstract
The effect of nonlinearity on behaviour of rectangular concrete tanks partially filled with water is studied. The nonlinearity in the numerical modeling of the surface liquid sloshing performance and hydrodynamic pressure initiates from unknown boundary conditions of contained liquid volume. The nonlinear simulations are performed for Time-History seismic analysis using the finite element software ABAQUS/CAE. The nonlinear results are compared with linear analytical solutions and ACI 350.3-06 code. A Paramedic study is conducted to investigate the effect of tank plan dimension, frequency content of different seismic ground motions, nature of earthquake movements, and interaction of bi-directional component of earthquake on the maximum sloshing height of liquid. The results reveal that the nonlinearity is more significant in shallow tanks. Moreover, nonlinear hydrodynamic pressure distribution has no important difference with linear calculated pressure except for the surface sloshing pressure acting on the top of tanks. The linear ratio of depth of liquid to tank plan dimension used in ACI 350.3-06 formulation is found to be less accurate for calculating the maximum sloshing height of liquid.
Highlights
1.1 General overviewThe dynamic behavior of fluid materials interacting with moving structures has attracted the attention of engineers in many fields in the last few decades
Based on studies conducted on dynamic fluid structure interaction problems, the wall flexibility considerably increases the pressure acting on tank walls due to the deformation occurs through seismic ground motions
The application of the finite element method (FEM) calculation converted to the Smoothed Particle Hydrodynamics (SPH) simulation of the liquid storage tanks in ABAQUS/CAE is discussed in the fifth chapter
Summary
The dynamic behavior of fluid materials interacting with moving structures has attracted the attention of engineers in many fields in the last few decades. In well-known codes and standards mostly used around the world, linear mass-spring mechanical models are used to calculate the seismic design loads, stresses and vertical displacements of the liquid free surface (sloshing height). In these types of analytical methods the nonlinear characteristics of liquids, tanks, and seismic loadings are ignored. The resulted pressures and sloshing motions considering the nonlinearity are the major concerns of this study, and it is hoped that this study leads to a better understanding of the behavior of liquid storage tanks under seismic loadings
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