Basic Structural Dynamics

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2012-07-31
  • Publisher: Wiley

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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

Prefacep. xi
Basic Concepts of Structural Dynamicsp. 1
The Dynamic Environmentp. 1
Types of Dynamic Loadingp. 2
Basic Principlesp. 3
Dynamic Equilibriump. 9
Single-Degree-Of-Freedom Systemsp. 13
Reduction of Degrees of Freedomp. 13
Time-Dependent Forcep. 15
Gravitational Forcesp. 17
Earthquake Ground Motionp. 18
Formulation of Equation of Motionp. 19
d' Alembert's Principlep. 19
Virtual Work (Virtual Displacements)p. 20
Generalized Coordinatesp. 22
Discreet Parametersp. 23
Continuous Parametersp. 31
Transformation Factorsp. 38
Axial Load Effectp. 42
Linear Approximationp. 44
Free-Vibration Response of Single-Degree-Of-Freedom Systemsp. 51
Undamped Free Vibrationp. 51
Alternate Solutionp. 53
Rayleigh's Methodp. 58
Selection of Deflected Shapep. 60
Damped Free Vibrationp. 61
Rotating Vector Formp. 63
Logarithmic Decrementp. 66
Radical Positivep. 67
Response to Harmonic Loadingp. 77
Undamped Dynamic Systemp. 77
Damped Dynamics Systemp. 84
Tripartite Logarithmic Plotp. 91
Evaluation of Dampingp. 91
Seismic Accelerometers and Displacement Meters (Seismographs)p. 95
Response to Impulse Loadsp. 101
Rectangular Pulsep. 104
Damped Rectangular Pulsep. 108
Triangular Pulsep. 109
Approximate Analysis for Short-Duration Impulse Loadp. 112
Response to Arbitrary Dynamic Loadingp. 121
Duhamel Integralp. 121
Numerical Formulation of the Equations of Motionp. 123
Numerical Integration Methodsp. 124
Newmark's Numerical Methodp. 127
Multiple-Degree-of-Freedom Systemsp. 137
Elastic Propertiesp. 137
Flexibilityp. 137
Stiffnessp. 138
Inertiap. 139
Viscous Dampingp. 139
Undamped Free Vibrationp. 141
Free Vibrationp. 149
Betti's Lawp. 153
Orthogonality Properties of Mode Shapesp. 155
Changing Coordinates (Inverse Transformation)p. 156
Holzer Method for Shear Buildingsp. 159
Axial Load Effects (Linear Approximation)p. 162
Modal Equations for Undamped Time-Dependent Force Analysisp. 165
Modal Equations of Damped Forced Vibrationp. 174
Modal Equations for Seismic Response Analysisp. 179
Nonlinear Response of Multiple-Degree-of-Freedom Systemsp. 183
Static Nonlinear Analysisp. 184
Dynamic Nonlinear Analysisp. 185
Gauss Reductionp. 189
MATLAB Applicationsp. 190
Seismic Response of Structuresp. 201
Introductionp. 201
Linear Elastic Response Spectrap. 203
Elastic Design Response Spectrump. 208
Earthquake Response of SDOF Systemsp. 215
Earthquake Response Analysis of MDOF Systemsp. 219
Time History Modal Analysisp. 221
Modal Combinations for Spectral Analysesp. 222
Structural Dynamics in the Building Codep. 232
Equivalanet Lateral Force Procedurep. 234
Modal Response Spectrum Procedurep. 237
Appendix - Historical Development of Building Code Seismic Provisionsp. 249
Selected Referencesp. 263
Indexp. 265
Table of Contents provided by Ingram. All Rights Reserved.

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