11711oam 2200649 450 991015164860332120210429021224.00-273-77426-397802737742429780273774266 (e-book)0-273-77424-7(CKB)3710000000623104(MiAaPQ)EBC5173477(MiAaPQ)EBC5175454(MiAaPQ)EBC5833728(MiAaPQ)EBC5483034(MiAaPQ)EBC6399555(Au-PeEL)EBL5483034(OCoLC)1024263962(PPN)193265672(EXLCZ)99371000000062310420210429d2014 uy 0engurcnu||||||||rdacontentrdamediardacarrierDynamics of structures theory and applications to earthquake engineering /Anil K. ChopraFourth edition.Harlow, England :Pearson Education Limited,[2014]©20141 online resource (944 pages) illustrations, graphsAlways learningIncludes index.Includes bibliographical references at the end of each chapters and index.Cover -- Dedication -- Overview -- Contents -- Foreword -- Preface -- Acknowledgments -- Part I: Single-Degree-of-Freedom Systems -- Chapter 1: Equations of Motion, Problem Statement, and Solution Methods -- Preview -- 1.1 Simple Structures -- 1.2 Single-Degree-of-Freedom System -- 1.3 Force-Displacement Relation -- 1.3.1 Linearly Elastic Systems -- 1.3.2 Inelastic Systems -- 1.4 Damping Force -- 1.5 Equation of Motion: External Force -- 1.5.1 Using Newton's Second Law of Motion -- 1.5.2 Dynamic Equilibrium -- 1.5.3 Stiffness, Damping, and Mass Components -- 1.6 Mass-Spring-Damper System -- 1.7 Equation of Motion: Earthquake Excitation -- 1.8 Problem Statement and Element Forces -- 1.8.1 Problem Statement -- 1.8.2 Element Forces -- 1.9 Combining Static and Dynamic Responses -- 1.10 Methods of Solution of the Differential Equation -- 1.10.1 Classical Solution -- 1.10.2 Duhamel's Integral -- 1.10.3 Frequency-Domain Method -- 1.10.4 Numerical Methods -- 1.11 Study of SDF Systems: Organization -- Appendix 1: Stiffness Coefficients for a Flexural Element -- Chapter 2: Free Vibration -- Preview -- 2.1 Undamped Free Vibration -- 2.2 Viscously Damped Free Vibration -- 2.2.1 Types of Motion -- 2.2.2 Underdamped Systems -- 2.2.3 Decay of Motion -- 2.2.4 Free Vibration Tests -- 2.3 Energy in Free Vibration -- 2.4 Coulomb-Damped Free Vibration -- Chapter 3: Response to Harmonic and Periodic Excitations -- Preview -- Part A: Viscously Damped Systems: Basic Results -- 3.1 Harmonic Vibration of Undamped Systems -- 3.2 Harmonic Vibration with Viscous Damping -- 3.2.1 Steady-State and Transient Responses -- 3.2.2 Response for ω = ωn -- 3.2.3 Maximum Deformation and Phase Lag -- 3.2.4 Dynamic Response Factors -- 3.2.5 Resonant Frequencies and Resonant Responses -- 3.2.6 Half-Power Bandwidth -- 3.2.7 Steady-State Response to Cosine Force.Part B: Viscously Damped Systems: Applications -- 3.3 Response to Vibration Generator -- 3.3.1 Vibration Generator -- 3.3.2 Structural Response -- 3.4 Natural Frequency and Damping from Harmonic Tests -- 3.4.1 Resonance Testing -- 3.4.2 Frequency-Response Curve -- 3.5 Force Transmission and Vibration Isolation -- 3.6 Response to Ground Motion and Vibration Isolation -- 3.7 Vibration-Measuring Instruments -- 3.7.1 Measurement of Acceleration -- 3.7.2 Measurement of Displacement -- 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 -- 3.10.1 Rate-Independent Damping -- 3.10.2 Steady-State Response to Harmonic Force -- 3.10.3 Solution Using Equivalent Viscous Damping -- 3.11 Harmonic Vibration with Coulomb Friction -- 3.11.1 Equation of Motion -- 3.11.2 Steady-State Response to Harmonic Force -- 3.11.3 Solution Using Equivalent Viscous Damping -- Part D: Response to Periodic Excitation -- 3.12 Fourier Series Representation -- 3.13 Response to Periodic Force -- Appendix 3: Four-Way Logarithmic Graph Paper -- Chapter 4: Response to Arbitrary, Step, and Pulse Excitations -- Preview -- 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 -- Chapter 5: Numerical Evaluation of Dynamic Response -- Preview.5.1 Time-Stepping Methods -- 5.2 Methods Based on Interpolation of Excitation -- 5.3 Central Difference Method -- 5.4 Newmark's Method -- 5.4.1 Basic Procedure -- 5.4.2 Special Cases -- 5.4.3 Linear Systems -- 5.5 Stability and Computational Error -- 5.5.1 Stability -- 5.5.2 Computational Error -- 5.6 Nonlinear Systems: Central Difference Method -- 5.7 Nonlinear Systems: Newmark's Method -- 5.7.1 Newton-Raphson Iteration -- 5.7.2 Newmark's Method -- Chapter 6: Earthquake Response of Linear Systems -- Preview -- 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 -- 6.6.1 Deformation Response Spectrum -- 6.6.2 Pseudo-velocity Response Spectrum -- 6.6.3 Pseudo-acceleration Response Spectrum -- 6.6.4 Combined D-V-A Spectrum -- 6.6.5 Construction of Response Spectrum -- 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 -- 6.12.1 Pseudo-velocity and Relative-velocity Spectra -- 6.12.2 Pseudo-acceleration and Acceleration Spectra -- Appendix 6: El Centro, 1940 Ground Motion -- Chapter 7: Earthquake Response of Inelastic Systems -- Preview -- 7.1 Force-Deformation Relations -- 7.1.1 Laboratory Tests -- 7.1.2 Elastoplastic Idealization -- 7.1.3 Corresponding Linear System -- 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 -- 7.4.1 Response History -- 7.4.2 Ductility Demand, Peak Deformations, and Normalized Yield Strength.7.5 Response Spectrum for Yield Deformation and Yield Strength -- 7.5.1 Definitions -- 7.5.2 Yield Strength for Specified Ductility -- 7.5.3 Construction of Constant-Ductility Response Spectrum -- 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 -- 7.10.1 Fluid Viscous and Viscoelastic Dampers -- 7.10.2 Metallic Yielding Dampers -- 7.10.3 Friction Dampers -- 7.11 Inelastic Design Spectrum -- 7.11.1 Ry-μ-Tn Equations -- 7.11.2 Construction of Constant-Ductility Design Spectrum -- 7.11.3 Equations Relating fy to fo and um to uo -- 7.12 Applications of the Design Spectrum -- 7.12.1 Structural Design for Allowable Ductility -- 7.12.2 Evaluation of an Existing Structure -- 7.12.3 Displacement-Based Structural Design -- 7.13 Comparison of Design and Response Spectra -- Chapter 8: Generalized Single-Degree-of-Freedom Systems -- Preview -- 8.1 Generalized SDF Systems -- 8.2 Rigid-Body Assemblages -- 8.3 Systems with Distributed Mass and Elasticity -- 8.3.1 Assumed Shape Function -- 8.3.2 Equation of Motion -- 8.3.3 Natural Vibration Frequency -- 8.3.4 Response Analysis -- 8.3.5 Peak Earthquake Response -- 8.3.6 Applied Force Excitation -- 8.4 Lumped-Mass System: Shear Building -- 8.4.1 Assumed Shape Vector -- 8.4.2 Equation of Motion -- 8.4.3 Response Analysis -- 8.5 Natural Vibration Frequency by Rayleigh's Method -- 8.5.1 Mass-Spring System -- 8.5.2 Systems with Distributed Mass and Elasticity -- 8.5.3 Systems with Lumped Masses -- 8.5.4 Properties of Rayleigh's Quotient -- 8.6 Selection of Shape Function -- Appendix 8: Inertia Forces for Rigid Bodies -- Part II: Multi-Degree-of-Freedom Systems -- Chapter 9: Equations of Motion, Problem Statement, and Solution Methods -- Preview.9.1 Simple System: Two-Story Shear Building -- 9.1.1 Using Newton's Second Law of Motion -- 9.1.2 Dynamic Equilibrium -- 9.1.3 Mass-Spring-Damper System -- 9.1.4 Stiffness, Damping, and Mass Components -- 9.2 General Approach for Linear Systems -- 9.2.1 Discretization -- 9.2.2 Elastic Forces -- 9.2.3 Damping Forces -- 9.2.4 Inertia Forces -- 9.2.5 Equations of Motion: External Forces -- 9.3 Static Condensation -- 9.4 Planar or Symmetric-Plan Systems: Ground Motion -- 9.4.1 Planar Systems: Translational Ground Motion -- 9.4.2 Symmetric-Plan Buildings: Translational Ground Motion -- 9.4.3 Planar Systems: Rotational Ground Motion -- 9.5 One-Story Unsymmetric-Plan Buildings -- 9.5.1 Two-Way Unsymmetric System -- 9.5.2 One-Way Unsymmetric System -- 9.5.3 Symmetric System -- 9.6 Multistory Unsymmetric-Plan Buildings -- 9.6.1 One-Way 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 -- Chapter 10: Free Vibration -- Preview -- 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 -- 10.13.1 Basic Concept and Procedure -- 10.13.2 Convergence of Iteration -- 10.13.3 Evaluation of Higher Modes.10.14 Vector Iteration with Shifts: Preferred Procedure.Designed for senior-level and graduate courses in Dynamics of Structures and Earthquake Engineering. Dynamics of Structures includes many topics encompassing the theory of structural dynamics and the application of this theory regarding earthquake analysis, response, and design of structures. No prior knowledge of structural dynamics is assumed and the manner of presentation is sufficiently detailed and integrated, to make the book suitable for self-study by students and professional engineers.Always learning.Earthquake engineeringStructural dynamicsEarthquakesEngineeringEarthquake engineering.Structural dynamics.EarthquakesEngineering.624.1762Chopra Anil K.9326MiAaPQMiAaPQUtOrBLW9910151648603321Dynamics of structures33699UNINA