Foreword | p. xxi |

Preface | p. xxiii |

Preface to the Second Edition | p. xxv |

Preface to the First Edition | p. xvii |

Acknowledgments | p. xxxiii |

Single-Degree-of-Freedom Systems | p. 1 |

Equations of Motion, Problem Statement, and Solution Methods | p. 3 |

Simple Structures | p. 3 |

Single-Degree-of-Freedom System | p. 7 |

Force-Displacement Relation | p. 8 |

Damping Force | p. 12 |

Equation of Motion: External Force | p. 14 |

Mass-Spring-Damper System | p. 19 |

Equation of Motion: Earthquake Excitation | p. 23 |

Problem Statement and Element Forces | p. 26 |

Combining Static and Dynamic Responses | p. 28 |

Methods of Solution of the Differential Equation | p. 28 |

Study of SDF Systems: Organization | p. 33 |

Stiffness Coefficients for a Flexural Element | p. 33 |

Free Vibration | p. 39 |

Undamped Free Vibration | p. 39 |

Viscously Damped Free Vibration | p. 48 |

Energy in Free Vibration | p. 56 |

Coulomb-Damped Free Vibration | p. 57 |

Response to Harmonic and Periodic Excitations | p. 65 |

Viscously Damped Systems: Basic Results | p. 66 |

Harmonic Vibration of Undamped Systems | p. 66 |

Harmonic Vibration with Viscous Damping | p. 72 |

Viscously Damped Systems: Applications | p. 85 |

Response to Vibration Generator | p. 85 |

Natural Frequency and Damping from Harmonic Tests | p. 87 |

Force Transmission and Vibration Isolation | p. 90 |

Response to Ground Motion and Vibration Isolation | p. 91 |

Vibration-Measuring Instruments | p. 95 |

Energy Dissipated in Viscous Damping | p. 99 |

Equivalent Viscous Damping | p. 103 |

Systems with Nonviscous Damping | p. 105 |

Harmonic Vibration with Rate-Independent Damping | p. 105 |

Harmonic Vibration with Coulomb Friction | p. 109 |

Response to Periodic Excitation | p. 113 |

Fourier Series Representation | p. 114 |

Response to Periodic Force | p. 114 |

Four-Way Logarithmic Graph Paper | p. 118 |

Response to Arbitrary, Step, and Pulse Excitations | p. 125 |

Response to Arbitrarily Time-Varying Forces | p. 125 |

Response to Unit Impulse | p. 126 |

Response to Arbitrary Force | p. 127 |

Response to Step and Ramp Forces | p. 129 |

Step Force | p. 129 |

Ramp or Linearly Increasing Force | p. 131 |

Step Force with Finite Rise Time | p. 132 |

Response to Pulse Excitations | p. 135 |

Solution Methods | p. 135 |

Rectangular Pulse Force | p. 137 |

Half-Cycle Sine Pulse Force | p. 143 |

Symmetrical Triangular Pulse Force | p. 148 |

Effects of Pulse Shape and Approximate Analysis for Short Pulses | p. 151 |

Effects of Viscous Damping | p. 154 |

Response to Ground Motion | p. 155 |

Numerical Evaluation of Dynamic Response | p. 165 |

Time-Stepping Methods | p. 165 |

Methods Based on Interpolation of Excitation | p. 167 |

Central Difference Method | p. 171 |

Newmark's Method | p. 174 |

Stability and Computational Error | p. 180 |

Analysis of Nonlinear Response: Central Difference Method | p. 184 |

Analysis of Nonlinear Response: Newmark's Method | p. 184 |

Earthquake Response of Linear Systems | p. 197 |

Earthquake Excitation | p. 197 |

Equation of Motion | p. 203 |

Response Quantities | p. 204 |

Response History | p. 205 |

Response Spectrum Concept | p. 207 |

Deformation, Pseudo-velocity, and Pseudo-acceleration Response Spectra | p. 208 |

Peak Structural Response from the Response Spectrum | p. 217 |

Response Spectrum Characteristics | p. 222 |

Elastic Design Spectrum | p. 230 |

Comparison of Design and Response Spectra | p. 239 |

Distinction between Design and Response Spectra | p. 241 |

Velocity and Acceleration Response Spectra | p. 242 |

El Centro, 1940 Ground Motion | p. 246 |

Earthquake Response of Inelastic Systems | p. 257 |

Force-Deformation Relations | p. 258 |

Normalized Yield Strength, Yield Strength Reduction Factor, and Ductility Factor | p. 264 |

Equation of Motion and Controlling Parameters | p. 265 |

Effects of Yielding | p. 266 |

Response Spectrum for Yield Deformation and Yield Strength | p. 273 |

Yield Strength and Deformation from the Response Spectrum | p. 277 |

Yield Strength-Ductility Relation | p. 277 |

Relative Effects of Yielding and Damping | p. 279 |

Dissipated Energy | p. 280 |

Energy Dissipation Devices | p. 283 |

Inelastic Design Spectrum | p. 288 |

Applications of the Design Spectrum | p. 295 |

Comparison of Design and Response Spectra | p. 301 |

Generalized Single-Degree-of-Freedom Systems | p. 305 |

Generalized SDF Systems | p. 305 |

Rigid-Body Assemblages | p. 307 |

Systems with Distributed Mass and Elasticity | p. 309 |

Lumped-Mass System: Shear Building | p. 321 |

Natural Vibration Frequency by Rayleigh's Method | p. 328 |

Selection of Shape Function | p. 332 |

Inertia Forces for Rigid Bodies | p. 336 |

Multi-Degree-of-Freedom Systems | p. 343 |

Equations of Motion, Problem Statement, and Solution Methods | p. 345 |

Simple System: Two-Story Shear Building | p. 345 |

General Approach for Linear Systems | p. 350 |

Static Condensation | p. 367 |

Planar or Symmetric-Plan Systems: Ground Motion | p. 370 |

Unsymmetric-Plan Buildings: Ground Motion | p. 375 |

Symmetric-Plan Buildings: Torsional Excitation | p. 383 |

Multiple Support Excitation | p. 384 |

Inelastic Systems | p. 389 |

Problem Statement | p. 389 |

Element Forces | p. 390 |

Methods for Solving the Equations of Motion: Overview | p. 390 |

Free Vibration | p. 401 |

Natural Vibration Frequencies and Modes | p. 402 |

Systems without Damping | p. 402 |

Natural Vibration Frequencies and Modes | p. 404 |

Modal and Spectral Matrices | p. 406 |

Orthogonality of Modes | p. 407 |

Interpretation of Modal Orthogonality | p. 408 |

Normalization of Modes | p. 408 |

Modal Expansion of Displacements | p. 418 |

Free Vibration Response | p. 419 |

Solution of Free Vibration Equations: Undamped Systems | p. 419 |

Free Vibration of Systems with Damping | p. 422 |

Solution of Free Vibration Equations: Classically Damped Systems | p. 426 |

Computation of Vibration Properties | p. 428 |

Solution Methods for the Eigenvalue Problem | p. 428 |

Rayleigh's Quotient | p. 430 |

Inverse Vector Iteration Method | p. 430 |

Vector Iteration with Shifts: Preferred Procedure | p. 435 |

Transformation of k[phi] = [omega superscript 2]m[phi] to the Standard Form | p. 440 |

Damping in Structures | p. 447 |

Experimental Data and Recommended Modal Damping Ratios | p. 447 |

Vibration Properties of Millikan Library Building | p. 447 |

Estimating Modal Damping Ratios | p. 452 |

Construction of Damping Matrix | p. 454 |

Damping Matrix | p. 454 |

Classical Damping Matrix | p. 455 |

Nonclassical Damping Matrix | p. 463 |

Dynamic Analysis and Response of Linear Systems | p. 467 |

Two-Degree-of-Freedom Systems | p. 467 |

Analysis of Two-DOF Systems without Damping | p. 467 |

Vibration Absorber or Tuned Mass Damper | p. 470 |

Modal Analysis | p. 472 |

Modal Equations for Undamped Systems | p. 472 |

Modal Equations for Damped Systems | p. 475 |

Displacement Response | p. 476 |

Element Forces | p. 477 |

Modal Analysis: Summary | p. 477 |

Modal Response Contributions | p. 482 |

Modal Expansion of Excitation Vector p(t) = sp(t) | p. 482 |

Modal Analysis for p(t) = sp(t) | p. 486 |

Modal Contribution Factors | p. 487 |

Modal Responses and Required Number of Modes | p. 489 |

Special Analysis Procedures | p. 496 |

Static Correction Method | p. 496 |

Mode Acceleration Superposition Method | p. 499 |

Analysis of Nonclassically Damped Systems | p. 500 |

Earthquake Analysis of Linear Systems | p. 507 |

Response History Analysis | p. 508 |

Modal Analysis | p. 508 |

Multistory Buildings with Symmetric Plan | p. 514 |

Multistory Buildings with Unsymmetric Plan | p. 533 |

Torsional Response of Symmetric-Plan Buildings | p. 544 |

Response Analysis for Multiple Support Excitation | p. 548 |

Structural Idealization and Earthquake Response | p. 554 |

Response Spectrum Analysis | p. 555 |

Peak Response from Earthquake Response Spectrum | p. 555 |

Multistory Buildings with Symmetric Plan | p. 560 |

Multistory Buildings with Unsymmetric Plan | p. 572 |

Reduction of Degrees of Freedom | p. 593 |

Kinematic Constraints | p. 594 |

Mass Lumping in Selected DOFs | p. 595 |

Rayleigh-Ritz Method | p. 595 |

Selection of Ritz Vectors | p. 599 |

Dynamic Analysis Using Ritz Vectors | p. 604 |

Numerical Evaluation of Dynamic Response | p. 609 |

Time-Stepping Methods | p. 609 |

Analysis of Linear Systems with Nonclassical Damping | p. 611 |

Analysis of Nonlinear Systems | p. 618 |

Systems with Distributed Mass and Elasticity | p. 629 |

Equation of Undamped Motion: Applied Forces | p. 630 |

Equation of Undamped Motion: Support Excitation | p. 631 |

Natural Vibration Frequencies and Modes | p. 632 |

Modal Orthogonality | p. 639 |

Modal Analysis of Forced Dynamic Response | p. 641 |

Earthquake Response History Analysis | p. 648 |

Earthquake Response Spectrum Analysis | p. 653 |

Difficulty in Analyzing Practical Systems | p. 656 |

Introduction to the Finite Element Method | p. 661 |

Rayleigh-Ritz Method | p. 661 |

Formulation Using Conservation of Energy | p. 661 |

Formulation Using Virtual Work | p. 665 |

Disadvantages of Rayleigh-Ritz Method | p. 667 |

Finite Element Method | p. 667 |

Finite Element Approximation | p. 667 |

Analysis Procedure | p. 669 |

Element Degrees of Freedom and Interpolation Functions | p. 671 |

Element Stiffness Matrix | p. 672 |

Element Mass Matrix | p. 673 |

Element (Applied) Force Vector | p. 675 |

Comparison of Finite Element and Exact Solutions | p. 679 |

Dynamic Analysis of Structural Continua | p. 680 |

Earthquake Response and Design of Multistory Buildings | p. 687 |

Earthquake Response of Linearly Elastic Buildings | p. 689 |

Systems Analyzed, Design Spectrum, and Response Quantities | p. 689 |

Influence of T[subscript 1] and [rho] on Response | p. 694 |

Modal Contribution Factors | p. 695 |

Influence of T[subscript 1] on Higher-Mode Response | p. 697 |

Influence of [rho] on Higher-Mode Response | p. 700 |

Heightwise Variation of Higher-Mode Response | p. 701 |

How Many Modes to Include | p. 703 |

Earthquake Analysis and Response of Inelastic Buildings | p. 707 |

Nonlinear Response History Analysis | p. 708 |

Equations of Motion: Formulation and Solution | p. 708 |

Computing Seismic Demands: Factors To Be Considered | p. 709 |

Story Drift Demands | p. 713 |

Strength Demands for SDF and MDF Systems | p. 719 |

Approximate Analysis Procedures | p. 720 |

Motivation and Basic Concept | p. 720 |

Uncoupled Modal Response History Analysis | p. 722 |

Modal Pushover Analysis | p. 729 |

Evaluation of Modal Pushover Analysis | p. 734 |

Simplified Modal Pushover Analysis for Practical Application | p. 739 |

Earthquake Dynamics of Base-Isolated Buildings | p. 741 |

Isolation Systems | p. 741 |

Base-Isolated One-Story Buildings | p. 744 |

Effectiveness of Base Isolation | p. 750 |

Base-Isolated Multistory Buildings | p. 754 |

Applications of Base Isolation | p. 760 |

Structural Dynamics in Building Codes | p. 767 |

Building Codes and Structural Dynamics | p. 768 |

International Building Code (United States), 2006 | p. 768 |

National Building Code of Canada, 2005 | p. 771 |

Mexico Federal District Code, 2004 | p. 773 |

Eurocode 8, 2004 | p. 775 |

Structural Dynamics in Building Codes | p. 778 |

Evaluation of Building Codes | p. 784 |

Base Shear | p. 784 |

Story Shears and Equivalent Static Forces | p. 788 |

Overturning Moments | p. 790 |

Concluding Remarks | p. 793 |

Structural Dynamics in Building Evaluation Guidelines | p. 795 |

Nonlinear Dynamic Procedure: Current Practice | p. 796 |

SDF-System Estimate of Roof Displacement | p. 797 |

Estimating Deformation of Inelastic SDF Systems | p. 799 |

Nonlinear Static Procedure | p. 806 |

Concluding Remarks | p. 812 |

Frequency-Domain Method of Response Analysis | p. 815 |

Notation | p. 837 |

Answers to Selected Problems | p. 849 |

Index | p. 865 |

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