Lýsing:
For courses in Structural Dynamics. Structural dynamics and earthquake engineering for both students and professional engineers An expert on structural dynamics and earthquake engineering, Anil K. Chopra fills an important niche, explaining the material in a manner suitable for both students and professional engineers with his 5th Edition of Dynamics of Structures: Theory and Applications to Earthquake Engineering.
No prior knowledge of structural dynamics is assumed, and the presentation is detailed and integrated enough to make the text suitable for self-study. As a textbook on vibrations and structural dynamics, this book has no competition. The material includes many topics in the theory of structural dynamics, along with applications of this theory to earthquake analysis, response, design, and evaluation of structures, with an emphasis on presenting this often difficult subject in as simple a manner as possible through numerous worked-out illustrative examples.
The 5th Edition includes new sections, figures, and examples, along with relevant updates and revisions. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps.
Annað
- Höfundur: Anil K. Chopra
- Útgáfa:5
- Útgáfudagur: 2019-07-04
- Hægt að prenta út 2 bls.
- Hægt að afrita 2 bls.
- Format:Page Fidelity
- ISBN 13: 9781292249209
- Print ISBN: 9781292249186
- ISBN 10: 129224920X
Efnisyfirlit
- Title Page
- Copyright Page
- Overview
- Contents
- Foreword
- Preface
- Acknowledgments
- Part I Single-Degree-of-Freedom Systems
- 1 Equations of Motion, Problem Statement, and Solution Methods
- 1.1 Simple Structures
- 1.2 Single-Degree-of-Freedom System
- 1.3 Force–Displacement Relation
- 1.4 Damping Force
- 1.5 Equation of Motion: External Force
- 1.6 Mass–Spring–Damper System
- 1.7 Equation of Motion: Earthquake Excitation
- 1.8 Problem Statement and Element Forces
- 1.9 Combining Static and Dynamic Responses
- 1.10 Methods of Solution of the Differential Equation
- 1.11 Study of Sdf Systems: Organization
- Appendix 1: Stiffness Coefficients for a Flexural Element
- 2 Free Vibration
- 2.1 Undamped Free Vibration
- 2.2 Viscously Damped Free Vibration
- 2.3 Energy in Free Vibration
- 2.4 Coulomb-Damped Free Vibration
- 3 Response to Harmonic and Periodic Excitations
- Part A: Viscously Damped Systems: Basic Results
- 3.1 Harmonic Vibration of Undamped Systems
- 3.2 Harmonic Vibration with Viscous Damping
- Part B: Viscously Damped Systems: Applications
- 3.3 Response to Vibration Generator
- 3.4 Natural Frequency and Damping from Harmonic Tests
- 3.5 Force Transmission and Vibration Isolation
- 3.6 Response to Ground Motion and Vibration Isolation
- 3.7 Vibration-measuring Instruments
- 3.8 Energy Dissipated in Viscous Damping
- 3.9 Equivalent Viscous Damping
- Part C: Systems with Nonviscous Damping
- 3.10 Harmonic Vibration with Rate-independent Damping
- 3.11 Harmonic Vibration with Coulomb Friction
- Part D: Response to Periodic Excitation
- 3.12 Fourier Series Representation
- 3.13 Response to Periodic Force
- Appendix 3: Four-Way Logarithmic Graph Paper
- Part A: Viscously Damped Systems: Basic Results
- 1 Equations of Motion, Problem Statement, and Solution Methods
- 4 Response to Arbitrary, Step, and Pulse Excitations
- Part A: Response to Arbitrarily Time-varying Forces
- 4.1 Response to Unit Impulse
- 4.2 Response to Arbitrary Force
- Part B: Response to Step and Ramp Forces
- 4.3 Step Force
- 4.4 Ramp or Linearly Increasing Force
- 4.5 Step Force with Finite Rise Time
- Part C: Response to Pulse Excitations
- 4.6 Solution Methods
- 4.7 Rectangular Pulse Force
- 4.8 Half-Cycle Sine Pulse Force
- 4.9 Symmetrical Triangular Pulse Force
- 4.10 Effects of Pulse Shape and Approximate Analysis for Short Pulses
- 4.11 Effects of Viscous Damping
- 4.12 Response to Ground Motion
- Part A: Response to Arbitrarily Time-varying Forces
- 5.1 Time-Stepping Methods
- 5.2 Methods Based on Interpolation of Excitation
- 5.3 Central Difference Method
- 5.4 Newmark’s Method
- 5.5 Stability and Computational Error
- 5.6 Nonlinear Systems: Central Difference Method
- 5.7 Nonlinear Systems: Newmark’s Method
- 6.1 Earthquake Excitation
- 6.2 Equation of Motion
- 6.3 Response Quantities
- 6.4 Response History
- 6.5 Response Spectrum Concept
- 6.6 Deformation, Pseudo-Velocity, and Pseudo-Acceleration Response Spectra
- 6.7 Peak Structural Response from the Response Spectrum
- 6.8 Response Spectrum Characteristics
- 6.9 Elastic Design Spectrum
- 6.10 Comparison of Design and Response Spectra
- 6.11 Distinction Between Design and Response Spectra
- 6.12 Velocity and Acceleration Response Spectra
- Appendix 6: El Centro, 1940 Ground Motion
- 7.1 Force–Deformation Relations
- 7.2 Normalized Yield Strength, Yield-strength Reduction Factor, and Ductility Factor
- 7.3 Equation of Motion and Controlling Parameters
- 7.4 Effects of Yielding
- 7.5 Response Spectrum for Yield Deformation and Yield Strength
- 7.6 Yield Strength and Deformation from the Response Spectrum
- 7.7 Yield Strength–Ductility Relation
- 7.8 Relative Effects of Yielding and Damping
- 7.9 Dissipated Energy
- 7.10 Supplemental Energy Dissipation Devices
- 7.11 Inelastic Design Spectrum
- 7.12 Applications of the Design Spectrum
- 7.13 Gravity Load Effects and Collapse
- 8.1 Generalized SDF Systems
- 8.2 Rigid-Body Assemblages
- 8.3 Systems With Distributed Mass and Elasticity
- 8.4 Lumped-Mass System: Shear Building
- 8.5 Natural Vibration Frequency by Rayleigh’s Method
- 8.6 Selection of Shape Function
- Appendix 8: Inertia Forces for Rigid Bodies
- 9 Equations of Motion, Problem Statement, and Solution Methods
- 9.1 Simple System: Two-story Shear Building
- 9.2 General Approach for Linear Systems
- 9.3 Static Condensation
- 9.4 Planar or Symmetric-Plan Systems: Ground Motion
- 9.5 One-Story Unsymmetric-Plan Buildings
- 9.6 Multistory Unsymmetric-Plan Buildings
- 9.7 Multiple Support Excitation
- 9.8 Inelastic Systems
- 9.9 Problem Statement
- 9.10 Element Forces
- 9.11 Methods for Solving the Equations of Motion: Overview
- 10 Free Vibration
- Part A: Natural Vibration Frequencies and Modes
- 10.1 Systems Without Damping
- 10.2 Natural Vibration Frequencies and Modes
- 10.3 Modal and Spectral Matrices
- 10.4 Orthogonality of Modes
- 10.5 Interpretation of Modal Orthogonality
- 10.6 Normalization of Modes
- 10.7 Modal Expansion of Displacements
- Part B: Free Vibration Response
- 10.8 Solution of Free Vibration Equations: Undamped Systems
- 10.9 Systems with Damping
- 10.10 Solution of Free Vibration Equations: Classically Damped Systems
- Part C: Computation of Vibration Properties
- 10.11 Solution Methods for the Eigenvalue Problem
- 10.12 Rayleigh’s Quotient
- 10.13 Inverse Vector Iteration Method
- 10.14 Vector Iteration with Shifts: Preferred Procedure
- 10.15 Transformation of kφ=ω2mφ to the Standard Form
- Part A: Natural Vibration Frequencies and Modes
- 11 Damping in Structures
- Part A: Experimental Data and Recommended Modal Damping Ratios
- 11.1 Vibration Properties of Millikan Library Building
- 11.2 Estimating Modal Damping Ratios
- Part B: Construction of Damping Matrix
- 11.3 Damping Matrix
- 11.4 Classical Damping Matrix
- 11.5 Nonclassical Damping Matrix
- Part A: Experimental Data and Recommended Modal Damping Ratios
- Part A: Two-Degree-of-Freedom Systems
- 12.1 Analysis of Two-Dof Systems Without Damping
- 12.2 Vibration Absorber or Tuned Mass Damper
- Part B: Modal Analysis
- 12.3 Modal Equations for Undamped Systems
- 12.4 Modal Equations for Damped Systems
- 12.5 Displacement Response
- 12.6 Element Forces
- 12.7 Modal Analysis: Summary
- Part C: Modal Response Contributions
- 12.8 Modal Expansion of Excitation Vector p(t)=sp(t)
- 12.9 Modal Analysis for P(t)=sp(t)
- 12.10 Modal Contribution Factors
- 12.11 Modal Responses and Required Number of Modes
- Part D: Special Analysis Procedures
- 12.12 Static Correction Method
- 12.13 Mode Acceleration Superposition Method
- 12.14 Mode Acceleration Superposition Method: Arbitrary Excitation
- Part A: Response History Analysis
- 13.1 Modal Analysis
- 13.2 Multistory Buildings with Symmetric Plan
- 13.3 Multistory Buildings with Unsymmetric Plan
- 13.4 Torsional Response of Symmetric-plan Buildings
- 13.5 Response Analysis for Multiple Support Excitation
- 13.6 Structural Idealization and Earthquake Response
- Part B: Response Spectrum Analysis
- 13.7 Peak Response from Earthquake Response Spectrum
- 13.8 Multistory Buildings with Symmetric Plan
- 13.9 Multistory Buildings with Unsymmetric Plan
- 13.10 A Response-spectrum-based Envelope for Simultaneous Responses
- 13.11 A Response-Spectrum-Based Estimation of Principal Stresses
- 13.12 Peak Response to Multicomponent Ground Motion
- Part A: Classically Damped Systems: Reformulation
- 14.1 Natural Vibration Frequencies and Modes
- 14.2 Free Vibration
- 14.3 Unit Impulse Response
- 14.4 Earthquake Response
- Part B: Nonclassically Damped Systems
- 14.5 Natural Vibration Frequencies and Modes
- 14.6 Orthogonality of Modes
- 14.7 Free Vibration
- 14.8 Unit Impulse Response
- 14.9 Earthquake Response
- 14.10 Systems With Real-Valued Eigenvalues
- 14.11 Response Spectrum Analysis
- 14.12 Summary
- Appendix 14: Derivations
- 15.1 Kinematic Constraints
- 15.2 Mass Lumping in Selected Dofs
- 15.3 Rayleigh–Ritz Method
- 15.4 Selection of Ritz Vectors
- 15.5 Dynamic Analysis Using Ritz Vectors
- 16.1 Time-Stepping Methods
- 16.2 Linear Systems With Nonclassical Damping
- 16.3 Nonlinear Systems
- 17.1 Equation of Undamped Motion: Applied Forces
- 17.2 Equation of Undamped Motion: Support Excitation
- 17.3 Natural Vibration Frequencies and Modes
- 17.4 Modal Orthogonality
- 17.5 Modal Analysis of Forced Dynamic Response
- 17.6 Earthquake Response History Analysis
- 17.7 Earthquake Response Spectrum Analysis
- 17.8 Difficulty in Analyzing Practical Systems
- Part A: Rayleigh–Ritz Method
- 18.1 Formulation Using Conservation of Energy
- 18.2 Formulation Using Virtual Work
- 18.3 Disadvantages of Rayleigh–Ritz Method
- Part B: Finite Element Method
- 18.4 Finite Element Approximation
- 18.5 Analysis Procedure
- 18.6 Element Degrees of Freedom and Interpolation Functions
- 18.7 Element Stiffness Matrix
- 18.8 Element Mass Matrix
- 18.9 Element Geometric Stiffness Matrix
- 18.10 Element (Applied) Force Vector
- 18.11 Comparison of Finite Element and Exact Solutions
- 18.12 Dynamic Analysis of Structural Continua
- 19 Earthquake Response of Linearly Elastic Buildings
- 19.1 Systems Analyzed, Design Spectrum, and Response Quantities
- 19.2 Influence of T1 and ρ on Response
- 19.3 Modal Contribution Factors
- 19.4 Influence of T1 on Higher-Mode Response
- 19.5 Influence of ρ on Higher-Mode Response
- 19.6 Heightwise Variation of Higher-Mode Response
- 19.7 How Many Modes to Include
- 20 Earthquake Analysis and Response of Inelastic Buildings
- Part A: Nonlinear Response History Analysis
- 20.1 Equations of Motion: Formulation and Solution
- 20.2 Computing Seismic Demands: Factors to Be Considered
- 20.3 Story Drift Demands
- 20.4 Strength Demands for Sdf and MDF Systems
- Part B: Structural Modeling
- 20.5 Overall System
- 20.6 Structural Elements
- 20.7 Viscous Damping
- Part C: Ground Motion Selection and Modification
- 20.8 Target Spectrum
- 20.9 Ground Motion Selection and Amplitude Scaling
- 20.10 Ground Motion Selection to Match Target Spectrum Mean and Variance
- 20.11 Influence of Gm Selection and Amplitude Scaling on Seismic Demands
- 20.12 Ground Motion Selection and Spectral Matching
- 20.13 Influence of GM Selection and Spectral Matching on Seismic Demands
- 20.14 Amplitude Scaling Versus Spectral Matching of Ground Motions
- Part D: Approximate Analysis Procedures
- 20.15 Motivation and Basic Concept
- 20.16 Uncoupled Modal Response History Analysis
- 20.17 Modal Pushover Analysis
- 20.18 Evaluation of Modal Pushover Analysis
- 20.19 Simplified Modal Pushover Analysis for Practical Application
- Part A: Nonlinear Response History Analysis
- 21.1 Isolation Systems
- 21.2 Base-Isolated One-Story Buildings
- 21.3 Effectiveness of Base Isolation
- 21.4 Base-Isolated Multistory Buildings
- 21.5 Applications of Base Isolation
- Part A: Building Codes and Structural Dynamics†
- 22.1 International Building Code (United States), 2018
- 22.2 National Building Code of Canada, 2015
- 22.3 Mexico Federal District Code, 2004
- 22.4 Eurocode 8, 2004
- 22.5 Structural Dynamics in Building Codes
- Part B: Evaluation of Building Codes
- 22.6 Base Shear
- 22.7 Story Shears and Equivalent Static Forces
- 22.8 Overturning Moments
- 22.9 Concluding Remarks
- 23.1 Nonlinear Dynamic Procedure: Current Practice
- 23.2 SDF-System Estimate of Roof Displacement
- 23.3 Estimating Deformation of Inelastic SDFSystems
- 23.4 Nonlinear Static Procedures
- 23.5 Concluding Remarks
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