Critical Excitation Methods in Earthquake Engineering book cover

Critical Excitation Methods in Earthquake Engineering

After the March 11, 2011, earthquake in Japan, there is overwhelming interest in worst-case analysis, including the critical excitation method. Nowadays, seismic design of structures performed by any seismic code is based on resisting previous natural earthquakes. Critical Excitation Methods in Earthquake Engineering, 2e, develops a new framework for modeling design earthquake loads for inelastic structures. The 2e, includes three new chapters covering the critical excitation problem for multi-component input ground motions, and that for elastic-plastic structures in a more direct way are incorporated and discussed in more depth. Finally, the problem of earthquake resilience of super high-rise buildings is discussed from broader viewpoints.

Audience

Structural Engineers, Structural Designers, Earthquake Engineers and Researchers

Hardbound, 400 Pages

Published: June 2013

Imprint: Butterworth Heinemann

ISBN: 978-0-08-099436-9

Contents

  • Table of Contents

    Preface to the first edition

    Preface to the second edition

    Chapter 1: Overview of seismic critical excitation method

    1-1: What is critical excitation?

    1-2: Origin of critical excitation method (Drenick's approach)

    1-3: Shinozuka's approach

    1-4: Historical sketch in early stage

    1-5: Various measures of criticality

    1-6: Subcritical excitation

    1-7: Stochastic excitation

    1-8: Convex models

    1-9: Nonlinear or elastic-plastic SDOF system

    1-10: Elastic-plastic MDOF system

    1-11: Critical envelope function

    1-12: Robust structural design

    1-13: Critical excitation method in earthquake-resistant design

    Chapter 2: Critical excitation for stationary and non-stationary random inputs 25

    2-1: Introduction

    2-2: Stationary input to SDOF model

    2-3: Stationary input to MDOF model

    2-4: Conservativeness of bounds

    2-5: Non-stationary input to SDOF model

    2-6: Non-stationary input to MDOF model

    2-7: Numerical examples for SDOF model

    2-8: Numerical examples for MDOF model

    2-9: Conclusions

    Chapter 3: Critical excitation for non-proportionally damped structural systems

    3-1: Introduction

    3-2: Modeling of input motions

    3-3: Response of non-proportionally damped model to non-stationary random excitation

    3-4: Critical excitation problem

    3-5: Solution procedure

    3-6: Critical excitation for acceleration (proportional damping)

    3-7: Numerical examples (proportional damping)

    3-8: Numerical examples (non-proportional damping)

    3-9: Numerical examples (various types of damping concentration)

    3-10: Conclusions

    Chapter 4: Critical excitation for acceleration response

    4-1: Introduction

    4-2: Modeling of input motions

    4-3: Acceleration response of non-proportionally damped model to non-stationary random input

    4-4: Critical excitation problem

    4-5: Solution procedure

    4-6: Numerical examples

    4-7: Model with non-proportional damping-1

    4-8: Model with non-proportional damping-2

    4-9: Model with proportional damping

    4-10: Conclusions

    Chapter 5: Critical excitation for elastic-plastic response

    5-1: Introduction

    5-2: Statistical equivalent linearization for SDOF model

    5-3: Critical excitation problem for SDOF model

    5-4: Solution procedure

    5-5: Relation of critical response with inelastic response to recorded ground motions

    5-6: Accuracy of the proposed method

    5-7: Criticality of the rectangular PSD function and applicability in wider parameter range

    5-8: Critical excitation for MDOF elastic-plastic structures

    5-9: Statistical equivalent linearization for MDOF model

    5-10: Critical excitation problem for MDOF model

    5-11: Solution procedure

    5-12: Relation of critical response with inelastic response to recorded ground motions

    5-13: Accuracy of the proposed method

    5-14: Conclusions

    Chapter 6: Critical envelope function for non-stationary random earthquake input

    6-1: Introduction

    6-2: Non-stationary random earthquake ground motion model

    6-3: Mean-square drift

    6-4: Problem for finding critical envelope function

    6-5: Double maximization procedure

    6-6: Discretization of envelope function

    6-7: Upper bound of mean-square drift

    6-8: Numerical examples

    6-9: Critical excitation for variable envelope functions and variable frequency contents

    6-10: Conclusions

    Chapter 7: Robust stiffness design for structure-dependent critical excitation

    7-1: Introduction

    7-2: Problem for fixed design

    7-3: Problem for structure-dependent critical excitation

    7-4: Solution procedure

    7-5: Numerical design examples

    7-6: Response to a broader class of excitations

    7-7: Response to code-specified design earthquakes

    7-8: Conclusions

    Chapter 8: Critical excitation for earthquake energy input in SDOF system

    8-1: Introduction

    8-2: Earthquake input energy to SDOF system in frequency domain

    8-3: Property of energy transfer function and constancy of earthquake input energy

    8-4: Critical excitation problem for earthquake input energy with acceleration constraint

    8-5: Critical excitation problem for earthquake input energy with velocity constraint

    8-6: Actual earthquake input energy and its bound for recorded ground motions

    8-7: Conclusions

    Chapter 9: Critical excitation for earthquake energy input in MDOF system

    9-1: Introduction

    9-2: Earthquake input energy to proportionally damped MDOF system (frequency-domain modal analysis)

    9-3: Earthquake input energy to non-proportionally damped MDOF system (frequency-domain modal analysis)

    9-4: Earthquake input energy without modal decomposition

    9-5: Examples

    9-6: Critical excitation for earthquake energy input in MDOF system

    9-7: Conclusions

    Chapter 10: Critical excitation for earthquake energy input in soil-structure interaction system

    10-1: Introduction

    10-2: Earthquake input energy to fixed-base SDOF system

    10-3: Earthquake input energy to SSI systems

    10-4: Actual earthquake input energy to fixed-base model and SSI system

    10-5: Critical excitation for earthquake energy input in SSI system

    10-6: Critical excitation problem

    10-7: Upper bound of Fourier amplitude spectrum of input

    10-8: Solution procedure and upper bound of input energy

    10-9: Critical excitation problem for velocity constraints

    10-10: Solution procedure for velocity constraint problems

    10-11: Numerical examples-1 (one-story model)

    10-12: Numerical examples-2 (three-story model)

    10-13: Conclusions

    Chapter 11: Critical excitation for earthquake energy input in structure-pile-soil system

    11-1: Introduction

    11-2: Transfer function to bedrock acceleration input

    11-3: Earthquake input energy to structure-pile system

    11-4: Earthquake input energy to structure

    11-5: Input energies by damage-limit level earthquake and safety-limit level earthquake

    11-6: Critical excitation for earthquake energy input in structure-pile-soil system

    11-7: Conclusions

    Chapter 12: Critical excitation for earthquake energy input rate

    12-1: Introduction

    12-2: Non-stationary ground motion model

    12-3: Probabilistic earthquake energy input rate: a frequency-domain Approach

    12-4: Critical excitation problem for earthquake energy input rate

    12-5: Solution procedure for double maximization problem

    12-6: Mean energy input rate for special envelope function

    12-7: Critical excitation problem for non-uniformly modulated ground motion model

    12-8: General problem for variable envelope function and variable frequency content

    12-9: Numerical examples

    12-10: Conclusions

    Chapter 13: Critical excitation for multi-component inputs

    13-1: Introduction

    13-2: Horizontal and vertical simultaneous inputs

    13-3: Bi-directional horizontal inputs

    13-4: Interpretation using inner product

    13-5: Conclusions

    Chapter 14: Critical excitation for elastic-plastic response using deterministic approach

    14-1: Introduction

    14-2: Abbas and Manohar’s approach

    14-3: Moustafa and Takewaki’s approach

    14-4: Conclusions

    Chapter 15: Earthquake resilience evaluation of building structures with critical excitation methods

    15-1: Introduction

    15-2: Robustness, redundancy and resilience

    15-3: Representation of uncertainty in selecting design ground motions

    15-4: Uncertainty expression in terms of info-gap model

    15-5: Worst combination of structural parameters and input parameters

    15-6: Reality of resonance and its investigation

    15-7: Conclusions

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