Nonlinearity in structural dynamics: detection, identification and modelling
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Bristol [u.a.]
Inst. of Physics Publ.
2001
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XIX, 659 S. Ill., graph. Darst. |
ISBN: | 9780750303569 |
Internformat
MARC
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245 | 1 | 0 | |a Nonlinearity in structural dynamics |b detection, identification and modelling |c K. Worden and G. R. Tomlinson |
264 | 1 | |a Bristol [u.a.] |b Inst. of Physics Publ. |c 2001 | |
300 | |a XIX, 659 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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adam_text | NONLINEARITY IN STRUCTURAL DYNAMICS DETECTION, IDENTIFICATION AND
MODELLING K WORDEN AND G R TOMLINSON UNIVERSITY OF SHEFFIELD, UK LOP
INSTITUTE OF PHYSICS PUBLISHING BRISTOL AND PHILADELPHIA CONTENTS
PREFACE XV 1 LINEAR SYSTEMS 1 1.1 CONTINUOUS-TIME MODELS: TIME DOMAIN 1
1.2 CONTINUOUS-TIME MODELS: FREQUENCY DOMAIN 10 1.3 IMPULSE RESPONSE 13
1.4 DISCRETE-TIME MODELS: TIME DOMAIN 17 1.5 CLASSIFICATION OF
DIFFERENCE EQUATIONS 21 1.5.1 AUTO-REGRESSIVE (AR) MODELS 21 1.5.2
MOVING-AVERAGE (MA) MODELS 21 1.5.3 AUTO-REGRESSIVE MOVING-AVERAGE
(ARMA) MODELS 22 1.6 DISCRETE-TIME MODELS: FREQUENCY DOMAIN 22 1.7
MULTI-DEGREE-OF-FREEDOM (MDOF) SYSTEMS 23 1.8 MODAL ANALYSIS % 29 1.8.1
FREE, UNDAMPED MOTION 29 1.8.2 FREE, DAMPED MOTION 35 1.8.3 FORCED,
DAMPED MOTION 37 2 FROM LINEAR TO NONLINEAR 41 2.1 INTRODUCTION 41
2.2 SYMPTOMS OF NONLINEARITY 41 2.2.1 DEFINITION OF LINEARITY*THE
PRINCIPLE OF SUPERPOSITION 41 2.2.2 HARMONIC DISTORTION 46 2.2.3
HOMOGENEITY AND FRF DISTORTION 49 2.2.4 RECIPROCITY 51 2.3 COMMON TYPES
OF NONLINEARITY 52 2.3.1 CUBIC STIFFNESS 52 2.3.2 BILINEAR STIFFNESS OR
DAMPING 55 2.3.3 PIECEWISE LINEAR STIFFNESS 55 2.3.4 NONLINEAR DAMPING
56 2.3.5 COULOMB FRICTION 57 2.4 NONLINEARITY IN THE MEASUREMENT CHAIN
57 2.4.1 MISALIGNMENT 58 VIII CONTENTS 2.4.2 VIBRATION EXCITER
PROBLEMS 2.5 TWO CLASSICAL MEANS OF INDICATING NONLINEARITY 2.5.1 USE OF
FRF INSPECTIONS*NYQUIST PLOT DISTORTIONS 2.5.2 COHERENCE FUNCTION 2.6
USE OF DIFFERENT TYPES OF EXCITATION 2.6.1 STEADY-STATE SINE EXCITATION
2.6.2 IMPACT EXCITATION 2.6.3 CHIRP EXCITATION 2.6.4 RANDOM EXCITATION
2.6.5 CONCLUSIONS 2.7 FRF ESTIMATORS 2.8 EQUIVALENT LINEARIZATION 2.8.1
THEORY 2.8.2 APPLICATION TO DUFFING S EQUATION 2.8.3 EXPERIMENTAL
APPROACH 3 FRFS OF NONLINEAR SYSTEMS 3.1 INTRODUCTION 3.2 HARMONIC
BALANCE 3.3 HARMONIC GENERATION IN NONLINEAR SYSTEMS 3.4 SUM AND
DIFFERENCE FREQUENCIES 3.5 HARMONIC BALANCE REVISITED 3.6 NONLINEAR
DAMPING 3.7 TWO SYSTEMS OF PARTICULAR INTEREST 3.7.1 QUADRATIC STIFFNESS
3.7.2 BILINEAR STIFFNESS 3.8 APPLICATION OF HARMONIC BALANCE TO AN
AIRCRAFT COMPONENT GROUND VIBRATION TEST ; 3.9 ALTERNATIVE FRF
REPRESENTATIONS 3.9.1 NYQUIST PLOT: LINEAR SYSTEM 3.9.2 NYQUIST PLOT:
VELOCITY-SQUARED DAMPING 3.9.3 NYQUIST PLOT: COULOMB FRICTION 3.9.4
CARPET PLOTS 3.10 INVERSE FRFS 3.11 MDOF SYSTEMS 3.12 DECAY ENVELOPES
3.12.1 THE METHOD OF SLOWLY VARYING AMPLITUDE AND PHASE 3.12.2 LINEAR
DAMPING 3.12.3 COULOMB FRICTION 3.13 SUMMARY 59 59 60 62 65 66 67 68 68
69 69 72 72 76 78 81 81 81 88 90 91 93 95 95 98 101 105 105 107 108 109
111 112 122 122 124 125 125 CONTENTS IX THE HILBERT TRANSFORM*A
PRACTICAL APPROACH 127 4.1 INTRODUCTION 127 4.2 BASIS OF THE METHOD 128
4.2.1 A RELATIONSHIP BETWEEN REAL AND IMAGINARY PARTS OF THE FRF 128
4.2.2 A RELATIONSHIP BETWEEN MODULUS AND PHASE 132 4.3 COMPUTATION 132
4.3.1 THE DIRECT METHOD 133 4.3.2 CORRECTION METHODS FOR TRUNCATED DATA
135 4.3.3 FOURIER METHOD 1 142 4.3.4 FOURIER METHOD 2 149 4.3.5 CASE
STUDY OF THE APPLICATION OF FOURIER METHOD 2 153 4.4 DETECTION OF
NONLINEARITY 156 4.4.1 HARDENING CUBIC STIFFNESS 160 4.4.2 SOFTENING
CUBIC STIFFNESS 161 4.4.3 QUADRATIC DAMPING 161 4.4.4 COULOMB FRICTION
163 4.5 CHOICE OF EXCITATION 165 4.6 INDICATOR FUNCTIONS 168 4.6.1 NPR:
NON-CAUSAL POWER RATIO 168 4.6.2 COREHENCE 170 4.6.3 SPECTRAL MOMENTS
170 4.7 MEASUREMENT OF APPARENT DAMPING 173 4.8 IDENTIFICATION OF
NONLINEAR SYSTEMS 175 4.8.1 FREEVIB 180 4.8.2 FORCEVIB 189 4.9 PRINCIPAL
COMPONENT ANALYSIS (PCA) 190 THE HILBERT TRANSFORM*A COMPLEX ANALYTICAL
APPROACH 202 5.1 INTRODUCTION 202 5.2 HILBERT TRANSFORMS FROM COMPLEX
ANALYSIS 202 5.3 TITCHMARSH S THEOREM V 205 5.4 CORRECTING FOR BAD
ASYMPTOTIC BEHAVIOUR 207 5.4.1 SIMPLE EXAMPLES^ 209 5.4.2 AN EXAMPLE OF
ENGINEERING INTEREST 211 5.5 FOURIER TRANSFORM CONVENTIONS 215 5.6
HYSTERETIC DAMPING MODELS 217 5.7 THE HILBERT TRANSFORM OF A SIMPLE POLE
223 5.8 HILBERT TRANSFORMS WITHOUT TRUNCATION ERRORS 224 5.9 SUMMARY 228
SYSTEM IDENTIFICATION*DISCRETE TIME 230 6.1 INTRODUCTION 230 6.2 LINEAR
DISCRETE-TIME MODELS 232 6.3 SIMPLE LEAST-SQUARES METHODS 233 6.3.1
PARAMETER ESTIMATION 233 CONTENTS 6.3.2 PARAMETER UNCERTAINTY 235 6.3.3
STRUCTURE DETECTION 237 6.4 THE EFFECT OF NOISE 237 6.5 RECURSIVE LEAST
SQUARES 242 6.6 ANALYSIS OF A TIME-VARYING LINEAR SYSTEM 246 6.7
PRACTICAL MATTERS 249 6.7.1 CHOICE OF INPUT SIGNAL 249 6.7.2 CHOICE OF
OUTPUT SIGNAL 251 6.7.3 COMMENTS ON SAMPLING 252 6.7.4 THE IMPORTANCE OF
SCALING 253 6.8 NARMAX MODELLING 255 6.9 MODEL VALIDITY 257 6.9.1
ONE-STEP-AHEAD PREDICTIONS 258 6.9.2 MODEL PREDICTED OUTPUT 258 6.9.3
CORRELATION TESTS 259 6.9.4 CHI-SQUARED TEST 260 6.9.5 GENERAL REMARKS
260 6.10 CORRELATION-BASED INDICATOR FUNCTIONS 260 6.11 ANALYSIS OF A
SIMULATED FLUID LOADING SYSTEM 261 6.12 ANALYSIS OF A REAL FLUID LOADING
SYSTEM 273 6.13 IDENTIFICATION USING NEURAL NETWORKS 277 6.13.1
INTRODUCTION 277 6.13.2 A LINEAR SYSTEM 282 6.13.3 A NONLINEAR SYSTEM
283 SYSTEM IDENTIFICATION*CONTINUOUS TIME 285 7.1 INTRODUCTION . 285 7.2
THE MASRI-CAUGHEY METHOD FOR SDOF SYSTEMS 286 7.2.1 BASIC THEORY 286:
7.2.2 INTERPOLATION PROCEDURES 290. 7.2.3 SOME EXAMPLES 292 7.3 THE
MASRI-CAUGHEY METHOD FOR MDOF SYSTEMS 305 7.3.1 BASIC THEORY 305 7.3.2
SOME EXAMPLES 310 7.4 DIRECT PARAMETER ESTIMATION FOR SDOF SYSTEMS 315
7.4.1 BASIC THEORY 315 7.4.2 DISPLAY WITHOUT INTERPOLATION 319 7.4.3
SIMPLE TEST GEOMETRIES 322 7.4.4 IDENTIFICATION OF AN IMPACTING BEAM 325
7.4.5 APPLICATION TO MEASURED SHOCK ABSORBER DATA 334 7.5 DIRECT
PARAMETER ESTIMATION FOR MDOF SYSTEMS 341 7.5.1 BASIC THEORY 341 7.5.2
EXPERIMENT: LINEAR SYSTEM 346 7.5.3 EXPERIMENT: NONLINEAR SYSTEM 350
CONTENTS X I 7.6 SYSTEM IDENTIFICATION USING OPTIMIZATION 355 7.6.1
APPLICATION OF GENETIC ALGORITHMS TO PIECEWISE LINEAR AND HYSTERETIC
SYSTEM IDENTIFICATION 356 7.6.2 IDENTIFICATION OF A SHOCK ABSORBER MODEL
USING GRADIENT DESCENT 367 THE VOLTERRA SERIES AND HIGHER-ORDER
FREQUENCY RESPONSE FUNCTIONS 377 8.1 THE VOLTERRA SERIES 377 8.2 AN
ILLUSTRATIVE CASE STUDY: CHARACTERIZATION OF A SHOCK ABSORBER 380 8.3
HARMONIC PROBING OF THE VOLTERRA SERIES 386 8.4 VALIDATION AND
INTERPRETATION OF THE HIGHER-ORDER FRFS 394 8.5 AN APPLICATION TO WAVE
FORCES 404 8.6 FRFS AND HILBERT TRANSFORMS: SINE EXCITATION 405 8.6.1
THE FRF 405 8.6.2 HILBERT TRANSFORM 411 8.7 FRFS AND HILBERT TRANSFORMS:
RANDOM EXCITATION 416 8.7.1 VOLTERRA SYSTEM RESPONSE TO A WHITE GAUSSIAN
INPUT 418 8.7.2 RANDOM EXCITATION OF A CLASSICAL DUFFING OSCILLATOR 421
8.8 VALIDITY OF THE VOLTERRA SERIES 431 8.9 HARMONIC PROBING FOR A MDOF
SYSTEM 434 8.10 HIGHER-ORDER MODAL ANALYSIS: HYPERCURVE FITTING 438
8.10.1 RANDOM EXCITATION 440 8.10.2 SINE EXCITATION 444 8.11
HIGHER-ORDER FRFS FROM NEURAL NETWORK MODELS 450 8.11.1 THE WRAY-GREEN
METHOD 452 8.11.2 HARMONIC PROBING OF NARX MODELS: THE MULTI-LAYER
PERCEPTION 455 8.11.3 RADIAL BASIS FUNCTION NETWORKS 45 8 8.11.4 SCALING
THE HFRFS 460 8.11.5 ILLUSTRATION OF THE THEORY 462 8.12 THE MULTI :
INPUT VOLTERRA SERIES . 466 8.12.1 HFRFS FOR A CONTINUOUS-TIME MIMO
SYSTEM 467 8.12.2 HFRFS FOR A DISCRETE-TIME MIMO SYSTEM 473 EXPERIMENTAL
CASE STUDIES 477 9.1 AN ENCASTRE BEAM RIG 477 9.1.1 THEORETICAL ANALYSIS
478 9.1.2 EXPERIMENTAL ANALYSIS 481 9.2 AN AUTOMOTIVE SHOCK ABSORBER 493
9.2.1 EXPERIMENTAL SET-UP 494 9.2.2 RESULTS 501 9.2.3 POLYNOMIAL
MODELLING 507 9.2.4 CONCLUSIONS 510 9.3 A BILINEAR BEAM RIG 511 9.3.1
DESIGN OF THE BILINEAR BEAM 512 XII CONTENTS 9.3.2 FREQUENCY-DOMAIN
CHARACTERISTICS OF THE BILINEAR BEAM 518 9.3.3 TIME-DOMAIN
CHARACTERISTICS OF THE BILINEAR BEAM 523 9.3.4 INTERNAL RESONANCE 526
9.3.5 A NEURAL NETWORK NARX MODEL 530 9.4 CONCLUSIONS 531 A A RAPID
INTRODUCTION TO PROBABILITY THEORY 533 A.I BASIC DEFINITIONS . 533 A.2
RANDOM VARIABLES AND DISTRIBUTIONS 534 A.3 EXPECTED VALUES 537 A.4 THE
GAUSSIAN DISTRIBUTION 541 B DISCONTINUITIES IN THE DUFFING OSCILLATOR
FRF 543 C USEFUL THEOREMS FOR THE HILBERT TRANSFORM 546 C. 1 REAL PART
SUFFICIENCY 546 C.2 ENERGY CONSERVATION 546 C.3 COMMUTATION WITH
DIFFERENTIATION 547 C.4 ORTHOGONALITY 548 C.5 ACTION AS A FILTER 549 C.6
LOW-PASS TRANSPARENCY 550 D FREQUENCY DOMAIN REPRESENTATIONS OF 6(T) AND
E() 552 E ADVANCED LEAST-SQUARES TECHNIQUES 554 E.I ORTHOGONAL LEAST
SQUARES 554 E.2 SINGULAR VALUE DECOMPOSITION 560 E.3 COMPARISON OF LS
METHODS 562 E.3.1 NORMAL EQUATIONS 562 E.3.2 ORTHOGONAL LEAST SQUARES
563 E.3.3 SINGULAR VALUE DECOMPOSITION 563 E.3.4 RECURSIVE LEAST SQUARES
. 563 F NEURAL NETWORKS 566 F.I BIOLOGICAL NEURAL NETWORKS 566 F. 1.1
THE BIOLOGICAL NEURON 567 F.1.2 MEMORY 569 F.1.3 LEARNING 570 F.2 THE
MCCULLOCH-PITTS NEURON 570 F.2.1 BOOLEAN FUNCTIONS 571 F.2.2 THE MCP
MODEL NEURON 573 F.3 PERCEPTRONS 579 F. 3.1 THE PERCEPTRON LEARNING RULE
581 F.3.2 LIMITATIONS OF PERCEPTRONS 582 F.4 MULTI-LAYER PERCEPTRONS 583
F.5 PROBLEMS WITH MLPS AND (PARTIAL) SOLUTIONS 586 F.5.1 EXISTENCE OF
SOLUTIONS 586 CONTENTS XIII F.5.2 CONVERGENCE TO SOLUTIONS 586 F.5.3
UNIQUENESS OF SOLUTIONS 586 F.5.4 OPTIMAL TRAINING SCHEDULES 587 F.6
RADIAL BASIS FUNCTIONS 587 G GRADIENT DESCENT AND BACK-PROPAGATION 590
G. 1 MINIMIZATION OF A FUNCTION OF ONE VARIABLE 590 G.I.I OSCILLATION
591 G.I.2 LOCAL MINIMA 592 G.2 MINIMIZING A FUNCTION OF SEVERAL
VARIABLES 592 G.3 TRAINING A NEURAL NETWORK 595 H PROPERTIES OF
CHEBYSHEV POLYNOMIALS 601 H.I DEFINITIONS AND ORTHOGONALITY RELATIONS
601 H.2 RECURRENCE RELATIONS AND CLENSHAW S ALGORITHM 602 H.3 CHEBYSHEV
COEFFICIENTS FOR A CLASS OF SIMPLE FUNCTIONS 604 H.4 LEAST-SQUARES
ANALYSIS AND CHEBYSHEV SERIES 605 I INTEGRATION AND DIFFERENTIATION OF
MEASURED TUNE DATA 607 1.1 TIME-DOMAIN INTEGRATION 608 1.1.1
LOW-FREQUENCY PROBLEMS 608 1.1.2 HIGH-FREQUENCY PROBLEMS 614 1.2
FREQUENCY CHARACTERISTICS OF INTEGRATION FORMULAE 616 1.3
FREQUENCY-DOMAIN INTEGRATION 619 1.4 DIFFERENTIATION OF MEASURED TIME
DATA 622 1.5 TIME-DOMAIN DIFFERENTIATION 624 1.6 FREQUENCY-DOMAIN
DIFFERENTIATION 626 J VOLTERRA KERNELS FROM PERTURBATION ANALYSIS 627 K
FURTHER RESULTS ON RANDOM VIBRATION 631 K. 1 RANDOM VIBRATION OF AN
ASYMMETRIC DUFFING OSCILLATOR 631 K.2 RANDOM VIBRATIONS OF A SIMPLE MDOF
SYSTEM 633 K.2.1 THE MDOF SYSTEM 633 K.2.2 THE POLE STRUCTURE OF THE
COMPOSITE FRF 634 K.2.3 VALIDATION 636 BIBLIOGRAPHY 641 INDEX 655
|
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id | DE-604.BV013205438 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:40:46Z |
institution | BVB |
isbn | 9780750303569 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008996364 |
oclc_num | 247575239 |
open_access_boolean | |
owner | DE-703 DE-91G DE-BY-TUM DE-634 DE-11 DE-29T |
owner_facet | DE-703 DE-91G DE-BY-TUM DE-634 DE-11 DE-29T |
physical | XIX, 659 S. Ill., graph. Darst. |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Inst. of Physics Publ. |
record_format | marc |
spelling | Worden, Keith Verfasser aut Nonlinearity in structural dynamics detection, identification and modelling K. Worden and G. R. Tomlinson Bristol [u.a.] Inst. of Physics Publ. 2001 XIX, 659 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Strukturdynamik (DE-588)4226174-0 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Strukturdynamik (DE-588)4226174-0 s Nichtlineare Dynamik (DE-588)4126141-0 s DE-604 Tomlinson, Geoffrey R. Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008996364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Worden, Keith Nonlinearity in structural dynamics detection, identification and modelling Strukturdynamik (DE-588)4226174-0 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
subject_GND | (DE-588)4226174-0 (DE-588)4126141-0 |
title | Nonlinearity in structural dynamics detection, identification and modelling |
title_auth | Nonlinearity in structural dynamics detection, identification and modelling |
title_exact_search | Nonlinearity in structural dynamics detection, identification and modelling |
title_full | Nonlinearity in structural dynamics detection, identification and modelling K. Worden and G. R. Tomlinson |
title_fullStr | Nonlinearity in structural dynamics detection, identification and modelling K. Worden and G. R. Tomlinson |
title_full_unstemmed | Nonlinearity in structural dynamics detection, identification and modelling K. Worden and G. R. Tomlinson |
title_short | Nonlinearity in structural dynamics |
title_sort | nonlinearity in structural dynamics detection identification and modelling |
title_sub | detection, identification and modelling |
topic | Strukturdynamik (DE-588)4226174-0 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd |
topic_facet | Strukturdynamik Nichtlineare Dynamik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008996364&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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