Contents

• Contents
• List of Figures
• List of Tables
• Table of Symbols
• Acknowledgement
• Abstract of the Dissertation

• Historical Background
  • Introduction
  • Relevant Areas of Study
  • Past Studies of Anchored Tank
    • Numerical Technique Investigations
    • Geometrically Nonlinear Effects
    • Effect of Rocking and Vertical Excitations
    • Experimental Investigations
    • Free Vibration Studies
  • Investigations on Other Types of Tanks
  • Evolution of Seismic Analyses of Unanchored Tanks
    • Experimental Investigations
    • Simplified Models
    • Numerical Analyses
  • Simplified Design Guidelines
  • Contribution of Research on Fluid Dynamics
    • Free Surface Sloshing Analysis
    • Fluid-Structure Interaction
  • Soil-Tank Interaction
  • Contact Analysis

• Nonlinear Dynamic Analysis of Plates and Shells
  • Degenerated Isoparametric Shell Element
    • Basic Assumptions
    • Three Dimensional Element Mechanics
    • Two Dimensional Element Mechanics
    • Geometric Nonlinearity
  • Computer Implementation and Testing
    • Two-Dimensional Numerical Examples
    • Three-Dimensional Numerical Examples

• Contact Analysis
  • Contact Mechanics
    • Contact Inequality Constraints
    • Treatment of Inequality Constraints
  • Finite Element Formulation
    • Condition of Sticking Contact
    • Condition of Sliding Contact
    • Condition of Tension Release
  • Contact Algorithms
    • Geometric Analysis
    • Determination of the Contact Condition
    • Overall Procedure Outline
  • Computer Implementation and Testing
    • Two-Dimensional Numerical Examples
    • Three-Dimensional Numerical Examples

• Liquid Domain Formulation
  • Variational Principles of the Liquid-Structure Interaction Problem
    • Structural Domain
    • Liquid Domain
    • Coupled Liquid-Structure System
  • Finite Element Discretization
    • Isoparametric Liquid Element Formulation
    • Nonlinear Liquid Sloshing in Rigid Tanks
    • Nonlinear Liquid Sloshing in Flexible Tanks
  • Computer Implementation and Testing
    • Two-Dimensional Examples
    • Three-Dimensional Examples

• Nonlinear Earthquake Response of Liquid Storage Tanks
  • Response of Tanks with Rigid Walls
  • Anchored Tank Response
  • Unanchored Tank Response
    • Effect of Foundation Stiffness
    • Large Deflection Effect
    • Effect of Plasticity
    • Effect of Base Plate Thickness
    • Effect of Vertical Excitation
  • Lateral Static Push Response of Unanchored Tanks

• Conclusion
• Bibliography
• DYNAZ User Manual
  • Input File Cards Description
    • Echo and Systems Card
    • Problem Title Card
    • Systems Identification Block
    • Execution Control Information
    • Time Sequence Data
    • Nodal Time History and Information
    • Nodal Coordinate Data
    • Generation Point Coordinate
    • Nodal Increments Card
    • Nodal Boundary Conditions Codes.
    • Constraints and Interaction Information
    • Nodal Load Vector or Prescribed Kinematic Condition
    • Load Time Functions
    • Initial Conditions
    • Element Information and Generation
    • Material Real Constants
    • Fluid Remeshing Information
  • DYNAZ Element Library
    • Two Noded Truss Element
    • Degenerated Shell Element
    • Solid Isoparametric Element
    • Fluid Isoparametric Element
    • Redundant Spring Element
    • Spring Element
  • DYNAZ Constraint and Interaction Library
    • Node is Constrained to Move Along a Plane
    • Rigid Link Between Two Nodes
    • Fluid-Solid Contact Node
    • Shell-Shell Connection Constraint
    • Solid-Solid Contact Node
    • Rigid-Plastic Support