Methods of Analysis for Earthquake-Resistant Structures

Methods of Analysis
for Earthquake-
Resistant Structures

6.1 Introduction
Structural Analysis Procedures • Models of Structures
Loads and Boundary Conditions • Notation
6.2 Equilibrium
Node Equilibrium • Equilibrium of Basic System of Element
Forces • Lower Bound Theorem of Plastic Analysis
6.3 Geometric Compatibility
Displacement–Deformation Relationship under Large
Displacements • Linear Approximation of
Displacement–Deformation Relation • Compatibility
Relationship for Elements with Moment Releases
6.4 Equilibrium in Deformed Configuration
6.5 Principle of Virtual Work
Virtual Work Principles for the Structure • Virtual Work
Principles for an Element • Upper Bound Theorem of Plastic
Analysis • Example of Plastic Analysis
6.6 Force–Deformation Relationships
Section Response • Material Models
6.7 Frame Elements
Basic Relationships • Concentrated Plasticity Elements •
Distributed Inelasticity Elements
6.8 Solution of Equilibrium Equations
Newton–Raphson Iteration • Load Incrementation • Load
Factor Control during Incrementation • Load Factor
Control during Iteration • Structure State
Determination • State Determination of Elements with
Force Formulation • Nonlinear Solution of Section State
Determination
6.9
Nonlinear Geometry and PD
Geometric Stiffness
Resisting Forces and Element Tangent Stiffness Matrix •
Geometric Stiffness Matrix •
PD Geometric Stiffness
6.10 Examples of Nonlinear Static Analysis
6.11 Dynamic Analysis
Free Vibration • Modal Analysis for Linear Response •
Earthquake Excitation • Numerical Integration of
Equations of Motion for Linear Response • Numerical
Integration of Equations of Motion for Nonlinear Response
6.12 Applications of Linear and Nonlinear Dynamic
Analysis
6.13 Conclusions
6.14 Future Challenges
Filip C. Filippou
Gregory L. Fenves
© 2004 by CRC Press LLC

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