Seismic analysis of structures:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore
Wiley
2010
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XV, 454 S. Ill., graph. Darst. |
ISBN: | 9780470824610 0470824611 |
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Datensatz im Suchindex
_version_ | 1804148541810016256 |
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adam_text | Titel: Seismic analysis of structures
Autor: Datta, Tushar Kanti
Jahr: 2010
Contents
Preface xiii
1 Seismology 1
1.1 Introduction 1
1.1.1 Earth and its Interiors 1
1.1.2 Plate Tectonics 2
1.1.3 Causes of Earthquakes 5
1.2 Seismic Waves 7
1.3 Earthquake Measurement Parameters 11
1.3.1 Local Magnitude (MJ 13
1.3.2 Body Wave Magnitude (Mb) 14
1.3.3 Surface Wave Magnitude (MSJ 14
1.3.4 Seismic Moment Magnitude (Mw) 15
1.3.5 Energy Release 16
1.3.6 Intensity 16
1.4 Measurement of an Earthquake 18
1.5 Modification of Earthquakes Due to the Nature of the Soil 21
1.6 Seismic Hazard Analysis 22
1.6.1 Deterministic Hazard Analysis 22
1.6.2 Probabilistic Hazard Analysis 24
1.6.3 Seismic Risk at a Site 30
1.6.4 Concept of Microzonation Based on Hazard Analysis 32
Exercise Problems 33
References 38
2 Seismic Inputs for Structures 41
2.1 Introduction 41
2.2 Time History Records 41
2.3 Frequency Contents of Ground Motion 42
2.4 Power Spectral Density Function of Ground Motion 49
2.5 Response Spectrum of Earthquake 54
2.5.1 Displacement, Velocity, and Acceleration Spectra 54
2.5.2 Energy Spectrum and Fourier Spectrum 56
2.5.3 Combined D-V-A Spectrum 58
2.5.4 Design Response Spectrum and its Construction 61
2.5.5 Design Earthquakes 65
Contents
2.5.6 Probabilistic Response Spectra 66
2.5.7 Site Specific Spectra and Uniform Hazard Spectra 67
2.6 Generation of Synthetic Accelerograms 75
2.6.1 Response Spectrum Compatible Accelerogram 76
2.6.2 Power Spectral Density Function Compatible Accelerogram 78
2.7 Prediction of Seismic Input Parameters 78
2.7.1 Predictive Relationships for PGA, PHV, and PHA 79
2.7.2 Predictive Relationship for Duration 83
2.7.3 Predictive Relationships for rms Value of Ground Acceleration (Anns) 83
2.7.4 Predictive Relationships for Fourier Spectrum and Response Spectrum 84
2.7.5 Predictive Relationships for PSDF of Ground Motion 87
2.7.6 Predictive Relationships for Modulating Function 89
2.7.7 Predictive Relationships for Coherence Function 92
Exercise Problems 93
References 96
Response Analysis for Specified Ground Motions 99
3.1 Introduction 99
3.2 Equation of Motion for a Single Degree of Freedom (SDOF) System 99
3.2.1 Equation of Motion in Terms of the Relative Motions of the Mass 100
3.2.2 Equation of Motion in Terms of the Absolute Motion of the Mass 100
3.2.3 Equation of Motion in State Space 100
3.3 Equations of Motion for a Multi-Degrees of Freedom (MDOF) System 101
3.3.1 Equations of Motion for Single-Support Excitation 101
3.3.2 Equations of Motion for Multi-Support Excitation 109
3.3.3 Equations of Motion in State Space 115
3.4 Response Analysis for Single Degree of Freedom (SDOF) System 116
3.4.1 Time Domain Analysis using the Duhamel Integral 117
3.4.2 Time Domain Analysis using Newmark s ^-Method 120
3.4.3 Time Domain Analysis in State Space 122
3.4.4 Frequency Domain Analysis Using Fourier Transform 122
3.5 Response Analysis for Multi-Degrees of Freedom (MDOF) Systems 126
3.5.1 Direct Analysis 128
3.5.2 Modal Analysis 137
3.5.3 Size Reduction 140
3.5.4 Computation of Internal Forces 143
3.5.5 Modal Analysis in Time Domain for State-Space Equation 144
3.5.6 Modal Analysis in Frequency Domain for State-Space Equation 145
3.5.7 Computational Steps for MATLAB® Programming 147
Exercise Problems 151
Appendix 3.A Direct Generation of Mass and Stiffness Matrices using the Method
of Virtual Work 157
Appendix 3.B Derivation of the Response over the Time Interval At in Duhamel Integration 161
Appendix 3.C Digitized Values of the Ground Acceleration of El Centra Earthquake 164
Appendix 3.D Simulink Diagrams 167
References 169
Frequency Domain Spectral Analysis 171
4.1 Introduction 171
4.2 Stationary Random Process 171
Contents
4.3 Fourier Series and Fourier Integral 173
4.4 Auto Correlation and Cross Correlation Functions 175
4.5 Power Spectral Density Function (Sxx) and Cross Power Spectral
Density Function (S^,) 176
4.6 Power Spectral Density Function (PSDF) Matrix 178
4.7 PSDFs and Cross PSDFs of the Derivatives of the Process 181
4.8 Single Input Single Output System (SISO) 182
4.9 MDOF System with Single-Point and Multi-Point Excitations 186
4.9.1 Single-Point Excitation 186
4.9.2 Multi-Point Excitation 187
4.9.3 Determination of the PSDF of Absolute Displacement 189
4.10 PSDF Matrix of Member End Forces 193
4.11 Modal Spectral Analysis 196
4.12 Spectral Analysis Using the State-Space Formulation 197
4.13 Steps for Developing a Program for Spectral Analysis in MATLAB®
for Multi-Support Excitation 200
Exercise Problems 201
Appendix 4.A Digitized Values of the PSDF of the Ground Acceleration
of El Centra Earthquake 202
References 204
5 Response Spectrum Method of Analysis 205
5.1 Introduction 205
5.2 Concept of Equivalent Lateral Force and Response Spectrum
Method of Analysis 205
5.3 Response Spectrum Analysis for Single-Point Excitation 206
5.3.1 Development of the Method 206
5.3.2 Modal Combination Rules 207
5.3.3 Application to 2D Building Frames, Chimneys, and Stacks 212
5.3.4 Application to 3D Tall Buildings 213
5.4 Response Spectrum Analysis for Multi-Support Excitations 214
5.4.1 Development of the Method 214
5.4.2 Steps for Developing Program in MATLAB® 217
5.5 Cascaded Analysis of Secondary Systems using Response Spectrum Method 221
5.6 Approximate Modal Response Spectrum Method of Analysis 223
5.7 Seismic Coefficient Method 223
5.7.1 Outline of the Method 223
5.7.2 Distribution of Lateral Forces 224
5.7.3 Computation of the Fundamental Time Period 224
5.7.4 Computation of the Base Shear 225
5.8 Comparison of Some Code Provisions Prescribed by Different
Earthquake Codes 225
5.8.1 International Building Code (2000) 226
5.8.2 National Building Code of Canada (1995) 228
5.8.3 Euro Code 8 (1995) 230
5.8.4 New Zealand Code (NZ 4203:1992) 231
5.8.5 Indian Code (IS 1893-2002) 232
Exercise Problems 234
Contents
Appendix 5.A Digitized Values of the Acceleration Response Spectrum
of El Centra Earthquake 235
References 236
6 Inelastic Seismic Response of Structures 237
6.1 Introduction 237
6.2 Non-Linear Analysis of Structures for Earthquake Forces 237
6.2.1 Equations of Motion 238
6.2.2 Solution of the Equation of Motion for the SDOF System 239
6.2.3 Solution of Equations of Motion for the MDOF System
without Bidirectional Interaction 243
6.2.4 Solution of Equations of Motion for the MDOF System
with Bidirectional Interaction 247
6.3 Inelastic Earthquake Analysis of Multi-Storey Building Frames 254
6.4 Pushover Analysis 261
6.5 Concepts of Ductility and Inelastic Response Spectrum 265
6.5.1 Ductility 265
6.5.2 Inelastic Response Spectrum 267
6.6 Ductility in a Multi-Storey Structure 270
Exercise Problems 272
References 274
Seismic Soil Structure Interaction 275
7.1 Introduction 275
7.2 Wave Propagation through Soil 275
7.3 One-Dimensional Wave Propagation and Ground Response Analysis 278
7.3.1 Ground Response Analysis Using FFT 281
7.3.2 Ground Response Analysis (Linear and Non-Linear)
in the Time Domain 282
7.4 2D or 3D Response Analysis in the Time Domain 284
7.5 Dynamic Soil-Structure Interaction 289
7.5.1 Bounded Problem and Idealization of Realistic Problems 293
7.5.2 Direct Method 295
7.5.3 Substructure Method of Analysis 297
7.5.4 Modal Analysis Using the Substructure Technique 306
7.5.5 Equivalent Spring-Dashpot Analysis 309
7.5.6 Approximate Analysis Using Equivalent Modal Damping 313
7.6 Soil-Pile Structure Interaction 317
7.6.1 Direct Analysis 318
7.6.2 Substructure Technique 319
7.6.3 Equivalent Spring-Dashpot Analysis 320
7.7 Seismic Analysis of Buried Structures 323
7.7.1 Plane Strain Analysis 324
7.7.2 Analysis for the Longitudinal Direction 325
Exercise Problems 332
Appendix 7.A 333
References 334
Contents
Seismic Reliability Analysis of Structures 335
8.1 Introduction 335
8.2 Uncertainties 336
8.3 Formulation of the Reliability Problem 337
8.4 Methods of Finding Probabilities of Failure 338
8.4.1 First Order Second Moment Method (FOSM) 338
8.4.2 Hasofer-Lind Method 339
8.4.3 Second Order Reliability Method 342
8.4.4 Simulation Based Reliability Method 343
8.5 Seismic Reliability Analysis 344
8.5.1 Reliability Analysis of Structures Considering Uncertainty
of Ground Input 346
8.5.2 Reliability Analysis of Structures Using Seismic Risk
Parameters of the Site 347
8.5.3 Threshold Crossing Reliability Analysis of Structures
for Deterministic Ground Motion 351
8.5.4 First Passage Reliability Analysis of Structures
for Random Ground Motion 354
8.5.5 Reliability Analysis of Structures Using a Damage Probability Matrix 358
8.5.6 Simplified Probabilistic Risk Analysis of Structures 360
Exercise Problems 365
References 366
Seismic Control of Structures 369
9.1 Introduction 369
9.2 Base Isolation 369
9.2.1 Laminated Rubber Bearing (LRB) 370
9.2.2 New Zealand Bearing System 371
9.2.3 Resilient Friction Base Isolation (R-FBI) 373
9.2.4 Pure Friction System 373
9.2.5 Elastic Sliding Bearing 374
9.2.6 Friction Pendulum System (FPS) 375
9.3 Base Isolators and their Characteristics 376
9.3.1 Geometric Design 380
9.4 Analysis of Base Isolated Buildings 381
9.4.1 Analysis of Base Isolated Buildings with Isolated Footings 382
9.4.2 Method of Solution 385
9.4.3 Analysis of Base Isolated Building with Base Slab 387
9.5 Design of Base Isolated Buildings 394
9.5.1 Preliminary Design (Design of Isolator and Initial Sizing
of the Isolated Structure) 395
9.5.2 Response Spectrum Analysis of Base Isolated Structure 397
9.5.3 Non-Linear Time History Analysis 398
9.6 Tuned Mass Damper 402
9.6.1 Modal Coupled Analysis 407
9.6.2 Direct Analysis 408
9.6.3 State-Space Analysis 408
9.7 Viscoelastic Dampers 411
9.7.1 Modeling of Viscoelastic Dampers 411
Contents
9.7.2 MDOF System with Viscoelastic Damper 414
9.7.3 Iterative Pseudo-Force (P-F) Method 417
9.7.4 Modal Strain Energy Method 417
9.7.5 State-Space Solution 418
9.7.6 Response Spectrum Method of Analysis 422
9.8 Active Structural Control 422
9.8.1 Stability 425
9.8.2 Controllability and Observability 425
9.8.3 State Observer 427
9.9 Active Control Algorithms 429
9.9.1 Pole Placement Technique 429
9.9.2 Classical Linear Optimal Control 433
9.9.3 Instantaneous Optimal Control 437
9.9.4 Practical Limitations 439
9.10 Semi-Active Control 441
9.10.1 Semi-Active Control Devices 441
9.10.2 Control Algorithms 442
Exercise Problems 446
References 448
Index 451
|
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author | Datta, Tushar Kanti 1944- |
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dewey-ones | 624 - Civil engineering |
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dewey-search | 624.1/762 |
dewey-sort | 3624.1 3762 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Bauingenieurwesen |
format | Book |
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spelling | Datta, Tushar Kanti 1944- Verfasser (DE-588)1014881625 aut Seismic analysis of structures T. K. Datta Singapore Wiley 2010 XV, 454 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Earthquake engineering Structural analysis (Engineering) Bauwerk (DE-588)4112681-6 gnd rswk-swf Entwurf (DE-588)4121208-3 gnd rswk-swf Erdbebensicherheit (DE-588)4113456-4 gnd rswk-swf Belastung (DE-588)4005392-1 gnd rswk-swf Belastung (DE-588)4005392-1 s Bauwerk (DE-588)4112681-6 s Entwurf (DE-588)4121208-3 s Erdbebensicherheit (DE-588)4113456-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024522749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Datta, Tushar Kanti 1944- Seismic analysis of structures Earthquake engineering Structural analysis (Engineering) Bauwerk (DE-588)4112681-6 gnd Entwurf (DE-588)4121208-3 gnd Erdbebensicherheit (DE-588)4113456-4 gnd Belastung (DE-588)4005392-1 gnd |
subject_GND | (DE-588)4112681-6 (DE-588)4121208-3 (DE-588)4113456-4 (DE-588)4005392-1 |
title | Seismic analysis of structures |
title_auth | Seismic analysis of structures |
title_exact_search | Seismic analysis of structures |
title_full | Seismic analysis of structures T. K. Datta |
title_fullStr | Seismic analysis of structures T. K. Datta |
title_full_unstemmed | Seismic analysis of structures T. K. Datta |
title_short | Seismic analysis of structures |
title_sort | seismic analysis of structures |
topic | Earthquake engineering Structural analysis (Engineering) Bauwerk (DE-588)4112681-6 gnd Entwurf (DE-588)4121208-3 gnd Erdbebensicherheit (DE-588)4113456-4 gnd Belastung (DE-588)4005392-1 gnd |
topic_facet | Earthquake engineering Structural analysis (Engineering) Bauwerk Entwurf Erdbebensicherheit Belastung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024522749&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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