Dynamics of structures : theory and applications to earthquake engineering

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Dynamics of structures : theory and applications to earthquake engineering / Anil K. Chopra

版:: 3rd ed
資料種別:: 図書
出版情報:: Upper Saddle River, N.J. : Pearson Prentice Hall, c2007
形態:: xxxiv, 876 p. ; 25 cm
シリーズ名:: Prentice-Hall international series in civil engineering and engineering mechanics <BA00215532>
著者名:: Chopra, Anil K. <DA06048440>
ISBN:: 9780131561748 [013156174X]
書誌ID:: BA78859657

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注記:

Includes bibliographical references and index

主題:

Earthquake engineering; Structural dynamics

言語:

英語

目次情報:

Foreword

Preface

Preface to the Second Edition

Preface to the First Edition

Acknowledgments

Single-Degree-of-Freedom Systems / Part I：

Equations of Motion, Problem Statement, and Solution Methods / 1：

Simple Structures / 1.1：

Single-Degree-of-Freedom System / 1.2：

Force-Displacement Relation / 1.3：

Damping Force / 1.4：

Equation of Motion: External Force / 1.5：

Mass-Spring-Damper System / 1.6：

Equation of Motion: Earthquake Excitation / 1.7：

Problem Statement and Element Forces / 1.8：

Combining Static and Dynamic Responses / 1.9：

Methods of Solution of the Differential Equation / 1.10：

Study of SDF Systems: Organization / 1.11：

Stiffness Coefficients for a Flexural Element / Appendix 1：

Free Vibration / 2：

Undamped Free Vibration / 2.1：

Viscously Damped Free Vibration / 2.2：

Energy in Free Vibration / 2.3：

Coulomb-Damped Free Vibration / 2.4：

Response to Harmonic and Periodic Excitations / 3：

Viscously Damped Systems: Basic Results / Part A：

Harmonic Vibration of Undamped Systems / 3.1：

Harmonic Vibration with Viscous Damping / 3.2：

Viscously Damped Systems: Applications / Part B：

Response to Vibration Generator / 3.3：

Natural Frequency and Damping from Harmonic Tests / 3.4：

Force Transmission and Vibration Isolation / 3.5：

Response to Ground Motion and Vibration Isolation / 3.6：

Vibration-Measuring Instruments / 3.7：

Energy Dissipated in Viscous Damping / 3.8：

Equivalent Viscous Damping / 3.9：

Systems with Nonviscous Damping / Part C：

Harmonic Vibration with Rate-Independent Damping / 3.10：

Harmonic Vibration with Coulomb Friction / 3.11：

Response to Periodic Excitation / Part D：

Fourier Series Representation / 3.12：

Response to Periodic Force / 3.13：

Four-Way Logarithmic Graph Paper / Appendix 3：

Response to Arbitrary, Step, and Pulse Excitations / 4：

Response to Arbitrarily Time-Varying Forces

Response to Unit Impulse / 4.1：

Response to Arbitrary Force / 4.2：

Response to Step and Ramp Forces

Step Force / 4.3：

Ramp or Linearly Increasing Force / 4.4：

Step Force with Finite Rise Time / 4.5：

Response to Pulse Excitations

Solution Methods / 4.6：

Rectangular Pulse Force / 4.7：

Half-Cycle Sine Pulse Force / 4.8：

Symmetrical Triangular Pulse Force / 4.9：

Effects of Pulse Shape and Approximate Analysis for Short Pulses / 4.10：

Effects of Viscous Damping / 4.11：

Response to Ground Motion / 4.12：

Numerical Evaluation of Dynamic Response / 5：

Time-Stepping Methods / 5.1：

Methods Based on Interpolation of Excitation / 5.2：

Central Difference Method / 5.3：

Newmark's Method / 5.4：

Stability and Computational Error / 5.5：

Analysis of Nonlinear Response: Central Difference Method / 5.6：

Analysis of Nonlinear Response: Newmark's Method / 5.7：

Earthquake Response of Linear Systems / 6：

Earthquake Excitation / 6.1：

Equation of Motion / 6.2：

Response Quantities / 6.3：

Response History / 6.4：

Response Spectrum Concept / 6.5：

Deformation, Pseudo-velocity, and Pseudo-acceleration Response Spectra / 6.6：

Peak Structural Response from the Response Spectrum / 6.7：

Response Spectrum Characteristics / 6.8：

Elastic Design Spectrum / 6.9：

Comparison of Design and Response Spectra / 6.10：

Distinction between Design and Response Spectra / 6.11：

Velocity and Acceleration Response Spectra / 6.12：

El Centro, 1940 Ground Motion / Appendix 6：

Earthquake Response of Inelastic Systems / 7：

Force-Deformation Relations / 7.1：

Normalized Yield Strength, Yield Strength Reduction Factor, and Ductility Factor / 7.2：

Equation of Motion and Controlling Parameters / 7.3：

Effects of Yielding / 7.4：

Response Spectrum for Yield Deformation and Yield Strength / 7.5：

Yield Strength and Deformation from the Response Spectrum / 7.6：

Yield Strength-Ductility Relation / 7.7：

Relative Effects of Yielding and Damping / 7.8：

Dissipated Energy / 7.9：

Energy Dissipation Devices / 7.10：

Inelastic Design Spectrum / 7.11：

Applications of the Design Spectrum / 7.12：

Generalized Single-Degree-of-Freedom Systems / 7.13：

Generalized SDF Systems / 8.1：

Rigid-Body Assemblages / 8.2：

Systems with Distributed Mass and Elasticity / 8.3：

Lumped-Mass System: Shear Building / 8.4：

Natural Vibration Frequency by Rayleigh's Method / 8.5：

Selection of Shape Function / 8.6：

Inertia Forces for Rigid Bodies / Appendix 8：

Multi-Degree-of-Freedom Systems / Part II：

Simple System: Two-Story Shear Building / 9：

General Approach for Linear Systems / 9.2：

Static Condensation / 9.3：

Planar or Symmetric-Plan Systems: Ground Motion / 9.4：

Unsymmetric-Plan Buildings: Ground Motion / 9.5：

Symmetric-Plan Buildings: Torsional Excitation / 9.6：

Multiple Support Excitation / 9.7：

Inelastic Systems / 9.8：

Problem Statement / 9.9：

Element Forces / 9.10：

Methods for Solving the Equations of Motion: Overview / 9.11：

Natural Vibration Frequencies and Modes / 10：

Systems without Damping / 10.1：

Modal and Spectral Matrices / 10.2：

Orthogonality of Modes / 10.4：

Interpretation of Modal Orthogonality / 10.5：

Normalization of Modes / 10.6：

Modal Expansion of Displacements / 10.7：

Free Vibration Response

Solution of Free Vibration Equations: Undamped Systems / 10.8：

Free Vibration of Systems with Damping / 10.9：

Solution of Free Vibration Equations: Classically Damped Systems / 10.10：

Computation of Vibration Properties

Solution Methods for the Eigenvalue Problem / 10.11：

Rayleigh's Quotient / 10.12：

Inverse Vector Iteration Method / 10.13：

Vector Iteration with Shifts: Preferred Procedure / 10.14：

Transformation of k[phi] = [omega superscript 2]m[phi] to the Standard Form / 10.15：

Damping in Structures / 11：

Experimental Data and Recommended Modal Damping Ratios

Vibration Properties of Millikan Library Building / 11.1：

Estimating Modal Damping Ratios / 11.2：

Construction of Damping Matrix

Damping Matrix / 11.3：

Classical Damping Matrix / 11.4：

Nonclassical Damping Matrix / 11.5：

Dynamic Analysis and Response of Linear Systems / 12：

Two-Degree-of-Freedom Systems

Analysis of Two-DOF Systems without Damping / 12.1：

Vibration Absorber or Tuned Mass Damper / 12.2：

Modal Analysis

Modal Equations for Undamped Systems / 12.3：

Modal Equations for Damped Systems / 12.4：

Displacement Response / 12.5：

Modal Analysis: Summary / 12.6：

Modal Response Contributions

Modal Expansion of Excitation Vector p(t) = sp(t) / 12.8：

Modal Analysis for p(t) = sp(t) / 12.9：

Modal Contribution Factors / 12.10：

Modal Responses and Required Number of Modes / 12.11：

Special Analysis Procedures

Static Correction Method / 12.12：

Mode Acceleration Superposition Method / 12.13：

Analysis of Nonclassically Damped Systems / 12.14：

Earthquake Analysis of Linear Systems / 13：

Response History Analysis

Multistory Buildings with Symmetric Plan / 13.1：

Multistory Buildings with Unsymmetric Plan / 13.3：

Torsional Response of Symmetric-Plan Buildings / 13.4：

Response Analysis for Multiple Support Excitation / 13.5：

Structural Idealization and Earthquake Response / 13.6：

Response Spectrum Analysis

Peak Response from Earthquake Response Spectrum / 13.7：

Reduction of Degrees of Freedom / 13.8：

Kinematic Constraints / 14.1：

Mass Lumping in Selected DOFs / 14.2：

Rayleigh-Ritz Method / 14.3：

Selection of Ritz Vectors / 14.4：

Dynamic Analysis Using Ritz Vectors / 14.5：

Analysis of Linear Systems with Nonclassical Damping / 15：

Analysis of Nonlinear Systems / 15.3：

Equation of Undamped Motion: Applied Forces / 16：

Equation of Undamped Motion: Support Excitation / 16.2：

Modal Orthogonality / 16.3：

Modal Analysis of Forced Dynamic Response / 16.5：

Earthquake Response History Analysis / 16.6：

Earthquake Response Spectrum Analysis / 16.7：

Difficulty in Analyzing Practical Systems / 16.8：

Introduction to the Finite Element Method / 17：

Formulation Using Conservation of Energy / 17.1：

Formulation Using Virtual Work / 17.2：

Disadvantages of Rayleigh-Ritz Method / 17.3：

Finite Element Method

Finite Element Approximation / 17.4：

Analysis Procedure / 17.5：

Element Degrees of Freedom and Interpolation Functions / 17.6：

Element Stiffness Matrix / 17.7：

Element Mass Matrix / 17.8：

Element (Applied) Force Vector / 17.9：

Comparison of Finite Element and Exact Solutions / 17.10：

Dynamic Analysis of Structural Continua / 17.11：

Earthquake Response and Design of Multistory Buildings / Part III：

Earthquake Response of Linearly Elastic Buildings / 18：

Systems Analyzed, Design Spectrum, and Response Quantities / 18.1：

Influence of T[subscript 1] and [rho] on Response / 18.2：

Influence of T[subscript 1] on Higher-Mode Response / 18.3：

Influence of [rho] on Higher-Mode Response / 18.5：

Heightwise Variation of Higher-Mode Response / 18.6：

How Many Modes to Include / 18.7：

Earthquake Analysis and Response of Inelastic Buildings / 19：

Nonlinear Response History Analysis

Equations of Motion: Formulation and Solution / 19.1：

Computing Seismic Demands: Factors To Be Considered / 19.2：

Story Drift Demands / 19.3：

Strength Demands for SDF and MDF Systems / 19.4：

Approximate Analysis Procedures

Motivation and Basic Concept / 19.5：

Uncoupled Modal Response History Analysis / 19.6：

Modal Pushover Analysis / 19.7：

Evaluation of Modal Pushover Analysis / 19.8：

Simplified Modal Pushover Analysis for Practical Application / 19.9：

Earthquake Dynamics of Base-Isolated Buildings / 20：

Isolation Systems / 20.1：

Base-Isolated One-Story Buildings / 20.2：

Effectiveness of Base Isolation / 20.3：

Base-Isolated Multistory Buildings / 20.4：

Applications of Base Isolation / 20.5：

Structural Dynamics in Building Codes / 21：

Building Codes and Structural Dynamics

International Building Code (United States), 2006 / 21.1：

National Building Code of Canada, 2005 / 21.2：

Mexico Federal District Code, 2004 / 21.3：

Eurocode 8, 2004 / 21.4：

Evaluation of Building Codes / 21.5：

Base Shear / 21.6：

Story Shears and Equivalent Static Forces / 21.7：

Overturning Moments / 21.8：

Concluding Remarks / 21.9：

Structural Dynamics in Building Evaluation Guidelines / 22：

Nonlinear Dynamic Procedure: Current Practice / 22.1：

SDF-System Estimate of Roof Displacement / 22.2：

Estimating Deformation of Inelastic SDF Systems / 22.3：

Nonlinear Static Procedure / 22.4：

Frequency-Domain Method of Response Analysis / 22.5：

Notation / B：

Answers to Selected Problems / C：

Index

Foreword

Preface

Preface to the Second Edition

Preface to the First Edition

Acknowledgments

Single-Degree-of-Freedom Systems / Part I：

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