Basic Structural Dynamics

by Anderson, James C.; Naeim, Farzad

• ISBN13: 9780470879399
• ISBN10: 0470879394
• Edition: 1st
• Format: Hardcover
• Copyright: 2012-07-31
• Publisher: Wiley

Summary

This book is intended as a basic introduction to the topic of structural dynamics for undergraduate civil and structural engineering students. Covering single and multiple degree of freedom systems while providing an introduction to earthquake engineering, the book hopes to keep the coverage succinct and on topic at a level appropriate for non-specialist undergraduate and graduate students. Through dozens of worked examples based on actual structures, the book will also introduce the student to NONLIN, a matrix analysis software package.

Author Biography

James C. Anderson is Professor of Civil Engineering at USC and is the author of, and contributor to, numerous book and journal articles. FARZAD NAEIM is Vice President and General Counsel at John A. Martin Associates, Inc., a consulting structural engineering firm headquartered in Los Angeles, California. He has received numerous awards for his contributions to earthquake engineering, including the 2007 Fazlur R. Khan Lifetime Achievement Medal by the Council on Tall Buildings and Urban Habitat.

Table of Contents

Preface	p. xi
Basic Concepts of Structural Dynamics	p. 1
The Dynamic Environment	p. 1
Types of Dynamic Loading	p. 2
Basic Principles	p. 3
Dynamic Equilibrium	p. 9
Single-Degree-Of-Freedom Systems	p. 13
Reduction of Degrees of Freedom	p. 13
Time-Dependent Force	p. 15
Gravitational Forces	p. 17
Earthquake Ground Motion	p. 18
Formulation of Equation of Motion	p. 19
d' Alembert's Principle	p. 19
Virtual Work (Virtual Displacements)	p. 20
Generalized Coordinates	p. 22
Discreet Parameters	p. 23
Continuous Parameters	p. 31
Transformation Factors	p. 38
Axial Load Effect	p. 42
Linear Approximation	p. 44
Free-Vibration Response of Single-Degree-Of-Freedom Systems	p. 51
Undamped Free Vibration	p. 51
Alternate Solution	p. 53
Rayleigh's Method	p. 58
Selection of Deflected Shape	p. 60
Damped Free Vibration	p. 61
Rotating Vector Form	p. 63
Logarithmic Decrement	p. 66
Radical Positive	p. 67
Response to Harmonic Loading	p. 77
Undamped Dynamic System	p. 77
Damped Dynamics System	p. 84
Tripartite Logarithmic Plot	p. 91
Evaluation of Damping	p. 91
Seismic Accelerometers and Displacement Meters (Seismographs)	p. 95
Response to Impulse Loads	p. 101
Rectangular Pulse	p. 104
Damped Rectangular Pulse	p. 108
Triangular Pulse	p. 109
Approximate Analysis for Short-Duration Impulse Load	p. 112
Response to Arbitrary Dynamic Loading	p. 121
Duhamel Integral	p. 121
Numerical Formulation of the Equations of Motion	p. 123
Numerical Integration Methods	p. 124
Newmark's Numerical Method	p. 127
Multiple-Degree-of-Freedom Systems	p. 137
Elastic Properties	p. 137
Flexibility	p. 137
Stiffness	p. 138
Inertia	p. 139
Viscous Damping	p. 139
Undamped Free Vibration	p. 141
Free Vibration	p. 149
Betti's Law	p. 153
Orthogonality Properties of Mode Shapes	p. 155
Changing Coordinates (Inverse Transformation)	p. 156
Holzer Method for Shear Buildings	p. 159
Axial Load Effects (Linear Approximation)	p. 162
Modal Equations for Undamped Time-Dependent Force Analysis	p. 165
Modal Equations of Damped Forced Vibration	p. 174
Modal Equations for Seismic Response Analysis	p. 179
Nonlinear Response of Multiple-Degree-of-Freedom Systems	p. 183
Static Nonlinear Analysis	p. 184
Dynamic Nonlinear Analysis	p. 185
Gauss Reduction	p. 189
MATLAB Applications	p. 190
Seismic Response of Structures	p. 201
Introduction	p. 201
Linear Elastic Response Spectra	p. 203
Elastic Design Response Spectrum	p. 208
Earthquake Response of SDOF Systems	p. 215
Earthquake Response Analysis of MDOF Systems	p. 219
Time History Modal Analysis	p. 221
Modal Combinations for Spectral Analyses	p. 222
Structural Dynamics in the Building Code	p. 232
Equivalanet Lateral Force Procedure	p. 234
Modal Response Spectrum Procedure	p. 237
Appendix - Historical Development of Building Code Seismic Provisions	p. 249
Selected References	p. 263
Index	p. 265
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