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Structural Dynamics Theory and Computation

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ISBN-10: 1402076673

ISBN-13: 9781402076671

Edition: 5th 2004 (Revised)

Authors: Mario Paz, William Leigh

List price: $134.00
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Description:

The book is interesting as well as scholarly and encourages the reader to continue rather than to put it down. The presentation and the many diagrams are excellent - Structural Engineer.
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Book details

List price: $134.00
Edition: 5th
Copyright year: 2004
Publisher: Springer
Publication date: 4/20/2006
Binding: Hardcover
Pages: 812
Size: 6.25" wide x 9.25" long x 1.75" tall
Weight: 2.882
Language: English

Preface to the Fifth Edition
Preface to the First Edition
Structures Modeled as a Single-Degree-of-Freedom System
Undamped Single-Degree-of-Freedom System
Degrees of Freedom
Undamped System
Springs in Parallel or in Series
Newton's Law of Motion
Free Body Diagram
D' Alembert's Principle
Solution of the Differential Equation of Motion
Frequency and Period
Amplitude of Motion
Summary
Problems
Damped Single-Degree-of-Freedom System
Viscous Damping
Equation of Motion
Critically Damped System
Overdamped System
Underdamped System
Logarithmic Decrement
Summary
Problems
Response of One-Degree-of-Freedom System to Harmonic Loading
Harmonic Excitation: Undamped System
Harmonic Excitation: Damped System
Evaluation of Damping at Resonance
Bandwidth Method (Half-Power) to Evaluate Damping
Energy Dissipated by Viscous Damping
Equivalent Viscous Damping
Response to Support Motion
Force Transmitted to the Foundation
Seismic Instruments
Response of One-Degree-of-Freedom System to Harmonic Loading Using SAP2000
Summary
Analytical Problem
Problems
Response to General Dynamic Loading
Duhamel's Integral-Undamped System
Duhamel's Integral-Damped System
Response by Direct Integration
Solution of the Equation of Motion
Program 2-Response by Direct Integration
Program 3-Response to Impulsive Excitation
Response to General Dynamic Loading Using SAP2000
Summary
Analytical Problems
Problems
Response Spectra
Construction of Response Spectrum
Response Spectrum for Support Excitation
Tripartite Response Spectra
Response Spectra for Elastic Design
Influence of Local Soil Conditions
Response Spectra for Inelastic Systems
Response Spectra for Inelastic Design
Program 6-Seismic Response Spectra
Summary
Problems
Nonlinear Structural Response
Nonlinear Single Degree-of-Freedom Model
Integration of the Nonlinear Equation of Motion
Constant Acceleration Method
Linear Acceleration Step-by-Step Method
The Newmark Beta Method
Elastoplastic Behavior
Algorithm for the Step-by-Step Solution for Elastoplastic Single-Degree-of-Freedom System
Program 5-Response for Elastoplastic Behavior
Summary
Problems
Structures Modeled as Shear Buildings
Free Vibration of a Shear Building
Stiffness Equations for the Shear Building
Natural Frequencies and Normal Modes
Orthogonality Property of the Normal Modes
Rayleigh's Quotient
Program 8-Natural Frequencies and Normal Modes
Free Vibration of a Shear Building Using SAP2000
Summary
Problems
Forced Motion of Shear Building
Modal Superposition Method
Response of a Shear Building to Base Motion
Program 9-Response by Modal Superposition
Harmonic Forced Excitation
Program 10-Harmonic Response
Forced Motion Using SAP2000
Combining Maximum Values of Modal Response
Summary
Problems
Reduction of Dynamic Matrices
Static Condensation
Static Condensation Applied to Dynamic Problems
Dynamic Condensation
Modified Dynamic Condensation
Program 12-Reduction of the Dynamic Problem
Summary
Problems
Framed Structures Modeled as Discrete Multi-Degree-of-Freedom Systems
Dynamic Analysis of Beams
Shape Functions for a Beam Segment
System Stiffness Matrix
Inertial Properties-Lumped Mass
Inertial Properties-Consistent Mass
Damping Properties
External Loads
Geometric Stiffness
Equations of Motion
Element Forces at Nodal Coordinates
Program 13-Modeling Structures as Beams
Dynamic Analysis of Beams Using SAP2000
Summary
Problems
Dynamic Analysis of Plane Frames
Element Stiffness Matrix for Axial Effects
Element Mass Matrix for Axial Effects
Coordinate Transformation
Program 14-Modeling Structures as Plane Frames
Dynamic Analysis of Frames Using SAP2000
Summary
Problems
Dynamic Analysis of Grid Frames
Local and Global Coordinate Systems
Torsional Effects
Stiffness Matrix for a Grid Element
Consistent Mass Matrix for a Grid Element
Lumped Mass Matrix for a Grid Element
Transformation of Coordinates
Program 15-Modeling Structures as Grid Frames
Dynamic Analysis of Grid Frames Using SAP2000
Summary
Problems
Dynamic Analysis of Three-Dimensional Frames
Element Stiffness Matrix
Element Mass Matrix
Element Damping Matrix
Transformation of Coordinates
Differential Equation of Motion
Dynamic Response
Program 16-Modeling Structures as Space Frames
Dynamic Response of Three-Dimensional Frames Using SAP2000
Summary
Problems
Dynamic Analysis of Trusses
Stiffness and Mass Matrices for the Plane Truss
Transformation of Coordinates
Program 17-Modeling Structures as Plane Trusses
Stiffness and Mass Matrices for Space Trusses
Equation of Motion for Space Trusses
Program 18-Modeling Structures as Space Trusses
Dynamic Analysis of Trusses Using SAP2000
Summary
Problems
Dynamic Analysis of Structures using the Finite Element Method
Plane Elasticity Problems
Triangular Plate Element for Plane Elasticity problems
SAP2000 for Plane Elasticity Problem
Plate Bending
Rectangular Element for Plate Bending
SAP2000 for Plate Bending and Shell Problems
Summary
Problems
Time History Response of Multidegree-of-Freedom Systems
Incremental Equations of Motion
The Wilson-[theta] Method
Algorithm for Step-by-Step Solution of a Linear System Using the Wilson-[theta] Method
Initialization
For Each Time Step
Program 19-Response by Step Integration
The Newmark Beta Method
Elastoplastic Behavior of Framed Structures
Member Stiffness Matrix
Member Mass Matrix
Rotation of Plastic Hinges
Calculation of Member Ductility Ratio
Time-History Response of Multidegree-of-Freedom Systems Using SAP2000
Summary
Problems
Structures Modeled with Distributed Properties
Dynamic Analysis of Systems with Distributed Properties
Flexural Vibration of Uniform Beams
Solution of the Equation of Motion in Free Vibration
Natural Frequencies and Mode Shapes for Uniform Beams
Both Ends Simply Supported
Both Ends Free (Free Beam)
Both Ends Fixed
One End Fixed and the other End Free (Cantilever Beam)
One End Fixed and the other End Simply Supported
Orthogonality Condition Between Normal Modes
Forced Vibration of Beams
Dynamic Stresses in Beams
Summary
Problems
Discretization of Continuous Systems
Dynamic Matrix for Flexural Effects
Dynamic Matrix for Axial Effects
Dynamic Matrix for Torsional Effects
Beam Flexure Including Axial-Force Effect
Power Series Expansion of the Dynamic Matrix for Flexural Effects
Power Series Expansion of the Dynamic Matrix for Axial and for Torsional Effects
Power Series Expansion of the Dynamic Matrix Including the Effects of Axial Forces
Summary
Special Topics: Fourier Analysis, Evaluation of Absolute Damping, Generalized Coordinates
Fourier Analysis and Response in the Frequency Domain
Fourier Analysis
Response to a Loading Represented by Fourier Series
Fourier Coefficients for Piecewise Linear Functions
Exponential Form of Fourier Series
Discrete Fourier Analysis
Fast Fourier Transform
Program 4-Response in the Frequency Domain
Summary
Problems
Evaluation of Absolute Damping from Modal Damping Ratios
Equations for Damped Shear Building
Uncoupled Damped Equations
Conditions for Damping Uncoupling
Program 11-Absolute Damping From Modal Damping Ratios
Summary
Problems
Generalized Coordinates and Rayleigh's Method
Principle of Virtual Work
Generalized Single-Degree-of-Freedom System-Rigid Body
Generalized Single-Degree-of-Freedom System-Distributed Elasticity
Shear Forces and Bending Moments
Generalized Equation of Motion for a Multistory Building
Shape Function
Rayleigh's Method
Improved Rayleigh's Method
Shear Walls
Summary
Problems
Random Vibration
Random Vibration
Statistical Description of Random Functions
Probability Density Function
The Normal Distribution
The Rayleigh Distribution
Correlation
The Fourier Transform
Spectral Analysis
Spectral Density Function
Narrow-Band and Wide-Band Random processes
Response to Random Excitation: Single-Degree-of-Freedom System
Response to Random Excitation: Multiple-Degree-of-Freedom System
Relationship Between Complex Frequency Response and Unit Impulse Response
Response to Random Excitation: Two-degree-of-freedom System
Response to Random Excitation: N Degree of Freedom System
Summary
Problems
Earthquake Engineering
Uniform Building Code 1997: Equivalent Lateral Force Method
Earthquake Ground Motion
Equivalent Lateral Force Method
Earthquake-Resistant Design Methods
Seismic Zone Factor
Base Shear Force
Distribution of Lateral Seismic Forces
Story Shear Force
Horizontal Torsional Moment
Overturning Moment
P-Delta Effect (P-[delta])
Redundancy/Reliability Factor p
Story Drift Limitation
Diaphragm Design Forces
Earthquake Load Effect
Irregular Structures
Summary
Problems
Uniform Building Code 1997: Dynamic Method
Modal Seismic Response of Buildings
Modal Equation and Participation Factor
Modal Shear Force
Effective Modal Weight
Modal Lateral Forces
Modal Displacements
Modal Drift
Modal Overturning Moment
Modal Torsional Moment
Total Design Values
Provisions of UBC-97: Dynamic Method
Scaling of Results
Program 24-UBC 1997 Dynamic Lateral Force Method
Summary
Problems
International Building Code IBC-2000
Response Spectral Acceleration: S[subscript s], S[subscript 1]
Soil Modification Response Spectral Acceleration: S[subscript MS], S[subscript M1]
Design Response Spectral Acceleration: S[subscript DS], S[subscript D1]
Site Class Definition: A, B, ...F
Seismic Use Group (SUG) and Occupancy Importance Factor (I[subscript E])
Seismic Design Category (A, B, C, D, E and F)
Design Response Spectral Curve: S[subscript a] v.s. T
Determination of the Fundamental Period
Minimum lateral Force Procedure [IBC-2000: Section 1616.4.1]
Simplified Analysis Procedure [IBC-2000: Section 1617.5]
Seismic Base Shear
Response Modification Factor R
Vertical Distribution of Lateral Forces
Equivalent Seismic Lateral Force Method: [IBC-2000: Section 1617.4]
Distribution of Lateral Forces
Overturning Moments
Horizontal Torsional Moment
P-Delta Effect (P-[delta])
Story Drift
Redundancy/Reliability Factor
Earthquake Load Effect
Building Irregularities
Summary
Appendices
Answers to Problems in Selected Chapters
Computer Programs
Glossary
Selected Bibliography
Index