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

Read more

Summary

General overview

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

Methods of Analysis
Objective and Scope of Study
Thesis Layout This thesis contains six chapters
Introduction
Seismic Damage to Liquid Storage Tanks
Previous Research Studies
Design Codes and Standards
Theories for Dynamic Analysis of Liquid Storage Tanks
Velocity Potential Theory Governing Equations
Solution of Equation for a Rectangular Tank
Analytical Derivation of Mechanical Model Parameters
Numerical Simulation
Lagrangian Method Another choice for simulating hydrodynamic problems is the
Smoothed Particle Hydrodynamics (SPH)
Governing Equations of liquid motion in the SPH method
Navier-Stokes Equation
Continuity Equations
Equation of State The liquid can be assumed to be incompressible
Smoothing Length Calculation
Viscosity Modelling
Kernel Function
Density Reinstallation Technique
Time increment Definition
Finite Element Conversion to SPH Particles
Application of Finite Element Program
Time History Analysis
Effect of Nonlinearity on Liquid Sloshing Height
Nonlinear Liquid Sloshing under Bi-directional Seismic Ground Motions
Effect of Applying Bidirectional Seismic Component on Sloshing Response
Effect of Earthquake Frequency Content
Nonlinear Hydrodynamic Pressure on the Walls
Findings
Future Studies A limited study was carried out as described in this thesis
Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.