An introduction to Random vibrations and spectral analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1984
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 3. Aufl. u.d.T.: Newland, David E.: An introduction to Random vibrations, spectral and wavelet analysis |
| Beschreibung: | XXVI, 377 S. graph. Darst. |
| ISBN: | 0582305306 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804116745567338496 |
|---|---|
| adam_text | Contents
Preface to the first edition ix
Preface to the second edition xi
Acknowledgements xii
List of Symbols xiv
1 Introduction to probability distributions and averages 1
Probability density function 2
Gaussian distribution 7
Calculation of averages 7
Probability distribution function 10
2 Joint probability distributions, ensemble averages 12
Second order probability functions 12
Second order averages 14
Conditional probability 17
Second order Gaussian distribution 18
Ensemble averaging 19
3 Correlation 21
Autocorrelation 25
Cross correlation 29
4 Fourier analysis 33
Fourier integral 35
Complex form of the Fourier transform 38
5 Spectral density 41
Narrow band and broad band processes 44
Spectral density of a derived process 46
Cross spectral density 48
Note on the units of spectral density 51
6 Excitation response relations for linear systems 53
Classical approach 54
Frequency response method 55
vi Contents
Impulse response method 58
Relationship between the frequency response and impulse
response functions 60
Calculation of response to an arbitrary input 62
7 Transmission of random vibration 67
Mean level 68
Autocorrelation 69
Spectral density 71
Mean square response 73
Cross correlation 77
Cross spectral density 78
Probability distributions 79
8 Statistics of narrow band processes 82
Crossing analysis 85
Distribution of peaks 90
Frequency of maxima 92
9 Accuracy of measurements 95
Analogue spectrum analysis 96
Variance of the measurement 97
Analysis of finite length records 103
Confidence limits 108
10 Digital spectral analysis I: Discrete Fourier transforms 113
Discrete Fourier transforms 114
Fourier transforms of periodic functions 116
Aliasing 118
Calculation of spectral estimates 120
11 Digital spectral analysis II: Windows and smoothing 125
Relationship between linear and circular correlation 126
Fourier transform of a train of aperiodic functions 129
Basic lag and spectral windows 131
Smoothing spectral estimates 137
Extending record length by adding zeros 139
Summary 142
Practical considerations 146
12 The fast Fourier transform 150
Basic theory 150
Sample calculation 152
Programming flow charts 155
Practical value of the FFT 162
Alternative algorithms 165
Contents vii
13 Pseudo random processes 167
Random binary process 168
Pseudo random binary signals 172
Random multi level process 172
Spectrum of a multi level process 179
Generation of random numbers 183
Synthesis of correlated noise sources 185
14 Application notes 189
Response of a resonant mode to broad band excitation 189
Fatigue and failure due to random vibration 191
Excitation by random surface irregularities 196
Simulation of random environments 201
Frequency response function and coherency measurements 206
Nonstationary processes 211
Weibull distribution of peaks 218
15 Multi dimensional spectral analysis 223
Two dimensional Fourier series 223
Properties of the two dimensional DFT 227
Spectral density of a multi dimensional random process 231
Discrete spectral density and circular correlation
functions for a two dimensional random process 237
Two dimensional windows 243
Two dimensional smoothing 252
Artificial generation of a two dimensional random process 254
Generation of an isotropic surface 256
Cross spectral density between parallel tracks across a
random surface 261
16 Response of continuous linear systems to stationary
random excitation 266
Response to excitation applied at a point 266
Response to distributed excitation 275
Normal mode analysis 278
Kinetic energy of a flat plate subjected to uncorrelated
random excitation 288
Single degree of freedom analogy 290
Appendices
Appendix 1 Table of integrals 294
Appendix 2 Computer programs 296
Appendix 3 The Gaussian probability integral 302
Appendix 4 Distribution of %l 304
Appendix 5 Random numbers 306
viii Contents
Appendix 6 Distribution of reverse arrangements for a
random series 308
Problems 310
Answers to problems 360
List of References 367
Index 373
|
| any_adam_object | 1 |
| author | Newland, David Edward 1936- |
| author_GND | (DE-588)1193597056 |
| author_facet | Newland, David Edward 1936- |
| author_role | aut |
| author_sort | Newland, David Edward 1936- |
| author_variant | d e n de den |
| building | Verbundindex |
| bvnumber | BV002286046 |
| classification_rvk | QH 170 SK 450 |
| classification_tum | PHY 013f MAT 420f |
| ctrlnum | (OCoLC)252080180 (DE-599)BVBBV002286046 |
| discipline | Physik Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV002286046 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:24Z |
| institution | BVB |
| isbn | 0582305306 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001502454 |
| oclc_num | 252080180 |
| open_access_boolean | |
| owner | DE-29T DE-706 DE-83 DE-11 DE-B1550 |
| owner_facet | DE-29T DE-706 DE-83 DE-11 DE-B1550 |
| physical | XXVI, 377 S. graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Longman |
| record_format | marc |
| spelling | Newland, David Edward 1936- Verfasser (DE-588)1193597056 aut An introduction to Random vibrations and spectral analysis 2. ed. Harlow, Essex Longman 1984 XXVI, 377 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier 3. Aufl. u.d.T.: Newland, David E.: An introduction to Random vibrations, spectral and wavelet analysis Wavelet (DE-588)4215427-3 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Frequenzanalyse (DE-588)4155397-4 gnd rswk-swf Spektralanalyse Stochastik (DE-588)4056125-2 gnd rswk-swf Zufallsschwingung (DE-588)4132806-1 gnd rswk-swf Zufallsschwingung (DE-588)4132806-1 s Frequenzanalyse (DE-588)4155397-4 s 1\p DE-604 Wavelet (DE-588)4215427-3 s 2\p DE-604 Spektralanalyse Stochastik (DE-588)4056125-2 s 3\p DE-604 Harmonische Analyse (DE-588)4023453-8 s 4\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001502454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Newland, David Edward 1936- An introduction to Random vibrations and spectral analysis Wavelet (DE-588)4215427-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Frequenzanalyse (DE-588)4155397-4 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Zufallsschwingung (DE-588)4132806-1 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4023453-8 (DE-588)4155397-4 (DE-588)4056125-2 (DE-588)4132806-1 |
| title | An introduction to Random vibrations and spectral analysis |
| title_auth | An introduction to Random vibrations and spectral analysis |
| title_exact_search | An introduction to Random vibrations and spectral analysis |
| title_full | An introduction to Random vibrations and spectral analysis |
| title_fullStr | An introduction to Random vibrations and spectral analysis |
| title_full_unstemmed | An introduction to Random vibrations and spectral analysis |
| title_short | An introduction to Random vibrations and spectral analysis |
| title_sort | an introduction to random vibrations and spectral analysis |
| topic | Wavelet (DE-588)4215427-3 gnd Harmonische Analyse (DE-588)4023453-8 gnd Frequenzanalyse (DE-588)4155397-4 gnd Spektralanalyse Stochastik (DE-588)4056125-2 gnd Zufallsschwingung (DE-588)4132806-1 gnd |
| topic_facet | Wavelet Harmonische Analyse Frequenzanalyse Spektralanalyse Stochastik Zufallsschwingung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001502454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT newlanddavidedward anintroductiontorandomvibrationsandspectralanalysis |