The Hilbert-Huang Transform in Engineering

Contents......Page 9
Hilbert-Huang Transform in Engineering, The......Page 2
Preface......Page 4
Acknowledgments......Page 6
Contributors......Page 7
1.1 INTRODUCTION......Page 11
1.2 THE HILBERT-HUANG TRANSFORM......Page 19
1.3.1 THE NORMALIZED HILBERT TRANSFORM......Page 26
1.3.2 THE CONFIDENCE LIMIT......Page 29
1.3.3 THE STATISTICAL SIGNIFICANCE OF IMFS......Page 31
REFERENCES......Page 32
CONTENTS......Page 34
2.1 INTRODUCTION......Page 35
2.2.1 PRELIMINARIES......Page 36
2.2.3 POWER SPECTRAL DENSITIES......Page 37
2.2.4 UNWRAPPED PHASE SPECTRA......Page 42
2.2.5 TIME- DEPENDENT SPECTRAL ANALYSIS......Page 45
2.2.6 DISINTEGRATED COMPONENTS......Page 47
2.2.7 ESTIMATED POWER SPECTRAL DENSITIES OF DISINTEGRATED MODES......Page 50
2.3.2 CHARACTERISTIC QUANTITIES......Page 52
2.3.3 AVERAGED PERIODS OF IMF......Page 54
2.3.4 INTERACTION BETWEEN ENERGY DENSITY AND AVERAGED PERIODS......Page 56
2.3.5 ACCORDANCE WITH THEORETICAL TREATMENTS......Page 57
2.4 SUMMARY AND DISCUSSION......Page 63
REFERENCES......Page 64
CONTENTS......Page 67
3.1 INTRODUCTION......Page 68
3.2 ANALYSES OF TOPEX/POSEIDON SEA LEVEL ANOMALY INTERANNUAL VARIATION USING HHT AND EOF......Page 70
3.3 APPLICATION OF HHT TO OCEAN COLOR REMOTE SENSING OF THE DELAWARE BAY......Page 72
3.4 MEDITERRANEAN OUTFLOW AND MEDDIES (O & M) FROM SATELLITE MULTISENSOR REMOTE SENSING......Page 79
3.5 CONCLUSION......Page 86
REFERENCES......Page 87
CONTENTS......Page 90
4.2 THE HUANG-HILBERT SPECTRAL ANALYSIS......Page 91
4.3.1 FIELD MEASUREMENT......Page 92
4.3.2 NUMERICAL SIMULATIONS......Page 95
4.4.1 RESOLUTION AND NONLINEARITY......Page 98
4.4.2 EDGE EFFECT......Page 100
REFERENCES......Page 101
CONTENTS......Page 103
5.1 INTRODUCTION......Page 104
5.2 FIELD DATA......Page 105
5.3 CONVENTIONAL METHODS FOR WAVE DATA ANALYSIS......Page 106
5.4 HILBERT-HUANG TRANSFORM METHOD......Page 112
5.5 APPLICATION OF THE HHT METHOD......Page 114
5.5.1 OFFSHORE WAVES DURING DIFFERENT SEA STAGES......Page 118
5.5.2 CROSS- SHORE TRANSFORMATION OF SEA WAVES......Page 120
5.6 CONCLUSIONS......Page 123
REFERENCES......Page 124
CONTENTS......Page 126
6.1 INTRODUCTION......Page 127
6.2 EMPIRICAL MODE DECOMPOSITION......Page 130
6.3 EMD-BASED SIGNAL PROCESSING......Page 131
6.4 EXPERIMENTAL VALIDATION USING TOWED-SOURCE SIGNALS......Page 140
6.5 CONCLUSION......Page 142
REFERENCES......Page 143
CONTENTS......Page 145
7.1 INTRODUCTION......Page 146
7.2.3 COHERENT STRUCTURES......Page 147
7.3 CONCLUSIONS......Page 154
REFERENCES......Page 161
CONTENTS......Page 162
8.1 INTRODUCTION......Page 163
8.2 SYMPTOMS OF SOIL NONLINEARITY......Page 164
8.3 FOURIER-BASED APPROACH FOR CHARACTERIZING NONLINEARITY......Page 165
8.4 HHT-BASED APPROACH FOR CHARACTERIZING NONLINEARITY......Page 169
8.5 APPLICATIONS TO 2001 NISQUALLY EARTHQUAKE DATA......Page 175
8.5.1 DETECTION OF NONLINEAR SOIL SITES......Page 176
8.5.2 HHT-BASED FACTOR OF SITE AMPLIFICATION......Page 179
8.5.3 INFLUENCES OF WINDOW LENGTH OF DATA......Page 181
8.5.4 COMPARISON OF HHT- AND FOURIER-BASED FACTORS FOR SITE AMPLIFICATION......Page 183
8.5.5 HHT-BASED FACTOR FOR SITE DAMPING......Page 187
8.6 CONCLUDING REMARKS AND DISCUSSION......Page 188
REFERENCES......Page 190
9.1 INTRODUCTION......Page 193
9.2 HILBERT-HUANG TRANSFORM (HHT)......Page 196
9.3 IMF RECOMBINATION METHOD......Page 199
9.4 IMPROVED WEN-YEH METHOD......Page 202
9.5 CONCLUSIONS......Page 205
REFERENCES......Page 209
APPENDIX: RELATION BETWEEN HILBERT MARGINAL SPECTRUM AND FOURIER ENERGY SPECTRUM......Page 211
CONTENTS......Page 215
10.1 INTRODUCTION......Page 216
10.2 HILBERT-HUANG TRANSFORM......Page 217
10.3.1 LOCATING CRACK IN ALUMINUM BEAM USING HHT......Page 218
10.3.2 DETECTION OF EDGES IN ALUMINUM PLATE......Page 221
10.3.3 DETERMINATION OF MODAL FREQUENCIES OF ALUMINUM BEAM......Page 224
10.4 CONCLUDING REMARKS......Page 238
ACKNOWLEDGMENTS......Page 241
REFERENCES......Page 245
CONTENTS......Page 247
11.1 INTRODUCTION......Page 248
11.2 THE HILBERT-HUANG TRANSFORM......Page 251
11.3 MOLECULAR DYNAMICS......Page 253
11.4 REVERSIBLE DIGITALLY FILTERED MOLECULAR DYNAMICS......Page 256
11.6 CONCLUSIONS......Page 264
REFERENCES......Page 265
12.1 INTRODUCTION......Page 268
12.2 DECOMPOSITION OF INTERMITTENT SMALL-SCALE FLUCTUATIONS FROM THE LARGE WAVE......Page 270
12.3 METHOD FOR DECOMPOSING WAVE GROUPS......Page 273
12.4 VALIDATIONS......Page 275
REFERENCES......Page 281
CONTENTS......Page 282
13.2.1 THE HILBERT-HUANG TRANSFORM......Page 283
13.2.2 STARTING POINT......Page 289
13.3.2 CHEMISTRY AND CHEMICAL ENGINEERING......Page 290
13.3.4 METEOROLOGICAL AND ATMOSPHERIC APPLICATIONS......Page 291
13.3.5 OCEAN ENGINEERING......Page 292
13.3.6 SEISMIC STUDIES......Page 293
13.3.7 STRUCTURAL APPLICATIONS......Page 296
13.3.9 SYSTEM IDENTIFICATION......Page 297
13.4 SOME LIMITATIONS......Page 298
13.5 POTENTIAL FUTURE RESEARCH......Page 299
REFERENCES......Page 300
13A.2 HYBRID METHOD......Page 303
13A.3 BIDIMENSIONAL EMD......Page 304
REFERENCES......Page 306