Dynamics of Structures

ISBN-10: 0132858037

ISBN-13: 9780132858038

Edition: 4th 2012 (Revised)

Authors: Anil K. Chopra
List price: $134.99
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Description: 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.

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Book details

List price: $134.99
Edition: 4th
Copyright year: 2012
Publisher: Pearson Education, Limited
Publication date: 12/6/2011
Binding: Hardcover
Pages: 992
Size: 7.25" wide x 9.50" long x 1.50" tall
Weight: 3.036
Language: English

Foreword
Preface
Acknowledgments
Single-Degree-Of-Freedom Systems
Equations of Motion, Problem Statement, and Solution
Methods
Simple Structures
Single-Degree-of-Freedom System
Force-Displacement Relation
Damping Force
Equation of Motion: External Force
Mass-Spring-Damper System
Equation of Motion: Earthquake Excitation
Problem Statement and Element Forces
Combining Static and Dynamic Responses
Methods of Solution of the Differential Equation
Study of SDF Systems: Organization
Stiffness Coefficients for a Flexural
Element
Free Vibration
Undamped Free Vibration
Viscously Damped Free Vibration
Energy in Free Vibration
Coulomb-Damped Free Vibration
Response to Harmonic and Periodic Excitations
Viscously Damped Systems: Basic Results
Harmonic Vibration of Undamped Systems
Harmonic Vibration with Viscous Damping
Viscously Damped Systems: Applications
Response to Vibration Generator
Natural Frequency and Damping from Harmonic
Tests
Force Transmission and Vibration Isolation
Response to Ground Motion and Vibration
Isolation
Vibration-Measuring Instruments
Energy Dissipated in Viscous Damping
Equivalent Viscous Damping
Systems with Nonviscous Damping
Harmonic Vibration with Rate-Independent
Damping
Harmonic Vibration with Coulomb Friction
Response to Periodic Excitation
Fourier Series Representation
Response to Periodic Force
Four-Way Logarithmic Graph
Paper
Response to Arbitrary, Step, and Pulse Excitations
Response to Arbitrarily Time-Varying Forces
Response to Unit Impulse
Response to Arbitrary Force
Response to Step and Ramp Forces
Step Force
Ramp or Linearly Increasing Force
Step Force with Finite Rise Time
Response to Pulse Excitations
Solution Methods
Rectangular Pulse Force
Half-Cycle Sine Pulse Force
Symmetrical Triangular Pulse Force
Effects of Pulse Shape and Approximate Analysis for
Short Pulses
Effects of Viscous Damping
Response to Ground Motion
Numerical Evaluation of Dynamic Response
Time-Stepping Methods
Methods Based on Interpolation of Excitation
Central Difference Method
Newmark's Method
Stability and Computational Error
Nonlinear Systems: Central Difference Method
Nonlinear Systems: Newmark's Method
Earthquake Response of Linear Systems
Earthquake Excitation
Equation of Motion
Response Quantities
Response History
Response Spectrum Concept
Deformation, Pseudo-velocity, and Pseudo-acceleration
Response Spectra
Peak Structural Response from the Response
Spectrum
Response Spectrum Characteristics
Elastic Design Spectrum
Comparison of Design and Response Spectra
Distinction between Design and Response
Spectra
Velocity and Acceleration Response Spectra
El Centro, 1940 Ground Motion
Earthquake Response of Inelastic Systems
Force-Deformation Relations
Normalized Yield Strength, Yield Strength Reduction
Factor, and Ductility Factor
Equation of Motion and Controlling Parameters
Effects of Yielding
Response Spectrum for Yield Deformation and Yield
Strength
Yield Strength and Deformation from the Response
Spectrum
Yield Strength-Ductility Relation
Relative Effects of Yielding and Damping
Dissipated Energy
Supplemental Energy Dissipation Devices
Inelastic Design Spectrum
Applications of the Design Spectrum
Comparison of Design and Response
Spectra
Generalized Single-Degree-of-Freedom Systems
Generalized SDF Systems
Rigid-Body Assemblages
Systems with Distributed Mass and Elasticity
Lumped-Mass System: Shear Building
Natural Vibration Frequency by Rayleigh's
Method
Selection of Shape Function
Inertia Forces for Rigid Bodies
Multi-Degree-Of-Freedom Systems
Equations of Motion, Problem Statement, and Solution
Methods
Simple System: Two-Story Shear Building
General Approach for Linear Systems
Static Condensation
Planar or Symmetric-Plan Systems: Ground
Motion
One-Story Unsymmetric-Plan Buildings
Multistory Unsymmetric-Plan Buildings
Multiple Support Excitation
Inelastic Systems
Problem Statement
Element Forces
Methods for Solving the Equations of Motion:
Overview
Free Vibration
Natural Vibration Frequencies and Modes
Systems without Damping
Natural Vibration Frequencies and Modes
Modal and Spectral Matrices
Orthogonality of Modes
Interpretation of Modal Orthogonality
Normalization of Modes
Modal Expansion of Displacements
Free Vibration Response
Solution of Free Vibration Equations: Undamped
Systems
Systems with Damping
Solution of Free Vibration Equations: Classically
Damped Systems
Computation of Vibration Properties
Solution Methods for the Eigenvalue Problem
Rayleigh's Quotient
Inverse Vector Iteration Method
Vector Iteration with Shifts: Preferred Procedure
Transformation ofk � = � 2m � to the Standard
Form
Damping in Structures
Experimental Data and Recommended Modal
Damping Ratios
Vibration Properties of Millikan Library Building
Estimating Modal Damping Ratios
Construction of Damping Matrix
Damping Matrix
Classical Damping Matrix
Nonclassical Damping Matrix
Dynamic Analysis and Response of Linear Systems
Two-Degree-of-Freedom Systems
Analysis of Two-DOF Systems without Damping
Vibration Absorber or Tuned Mass Damper
Modal Analysis
Modal Equations for Undamped Systems
Modal Equations for Damped Systems
Displacement Response
Element Forces
Modal Analysis: Summary
Modal Response Contributions
Modal Expansion of Excitation Vector
p ( t ) =s p ( t )
Modal Analysis forp ( t ) =s p ( t )
Modal Contribution Factors
Modal Responses and Required Number of Modes
Special Analysis Procedures
Static Correction Method
Mode Acceleration Superposition Method
Mode Acceleration Superposition Method: Arbitrary
Excitation
Earthquake Analysis of Linear Systems
Response History Analysis
Modal Analysis
Multistory Buildings with Symmetric Plan
Multistory Buildings with Unsymmetric Plan
Torsional Response of Symmetric-Plan Buildings
Response Analysis for Multiple Support
Excitation
Structural Idealization and Earthquake Response
Response Spectrum Analysis
Peak Response from Earthquake Response
Spectrum
Multistory Buildings with Symmetric Plan
Multistory Buildings with Unsymmetric Plan
A Response-Spectrum-Based Envelope for
Simultaneous Responses
Response to Multi-Component Ground
Motion
Analysis of Nonclassically Damped Linear Systems
Classically Damped Systems: Reformulation
Natural Vibration Frequencies and Modes
Free Vibration
Unit Impulse Response
Earthquake Response
Nonclassically Damped Systems
Natural Vibration Frequencies and Modes
Orthogonality of Modes
Free Vibration
Unit Impulse Response
Earthquake Response
Systems with Real-Valued Eigenvalues
Response Spectrum Analysis
Summary
Derivations
Reduction of Degrees of Freedom
Kinematic Constraints
Mass Lumping in Selected DOFs
Rayleigh-Ritz Method
Selection of Ritz Vectors
Dynamic Analysis Using Ritz Vectors
Numerical Evaluation of Dynamic Response
Time-Stepping Methods
Linear Systems with Nonclassical Damping
Nonlinear Systems
Systems with Distributed Mass and Elasticity
Equation of Undamped Motion: Applied Forces
Equation of Undamped Motion: Support
Excitation
Natural Vibration Frequencies and Modes
Modal Orthogonality
Modal Analysis of Forced Dynamic Response
Earthquake Response History Analysis
Earthquake Response Spectrum Analysis
Difficulty in Analyzing Practical Systems
Introduction to the Finite Element Method
Rayleigh-Ritz Method
Formulation Using Conservation of Energy
Formulation Using Virtual Work
Disadvantages of Rayleigh-Ritz Method
Finite Element Method
Finite Element Approximation
Analysis Procedure
Element Degrees of Freedom and Interpolation
Functions
Element Stiffness Matrix
Element Mass Matrix
Element (Applied) Force Vector
Comparison of Finite Element and Exact
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