Probabilistic structural dynamics: advanced theory and applications
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
1995
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Frühere Ausg. u.d.T.: Lin, Yu-Kweng: Probabilistic theory of structural dynamics |
| Beschreibung: | XIV, 476 S. graph. Darst. |
| ISBN: | 0070380384 |
Internformat
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Datensatz im Suchindex
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| adam_text | PROBABILISTIC STRUCTURAL DYNAMICS ADVANCED THEORY AND APPLICATIONS Y. K.
LIN FLORIDA ATLANTIC UNIVERSITY G. Q. CAI FLORIDA ATLANTIC UNIVERSITY
MCGRAW-HILL, INC. NEW YORK ST. LOUIS SAN FRANCISCO AUCKLAND BOGOTA
CARACAS LISBON LONDON MADRID MEXICO CITY MILAN MONTREAL NEW DELHI SAN
JUAN SINGAPORE SYDNEY TOKYO TORONTO CONTENTS PREFACE XIII 1 INTRODUCTION
L 2 SPECTRAL ANALYSIS 4 2.1 STOCHASTIC PROCESSES WITH UNCORRELATED AND
ORTHOGONAL INCREMENTS 6 2.2 SPECTRAL REPRESENTATION OF A
CORRELATION-STATIONARY STOCHASTIC PROCESS 7 2.3 LINEAR TIME-INVARIANT
SYSTEMS UNDER ADDITIVE EXCITATIONS OF CORRELATION-STATIONARY PROCESSES
10 2.3.1 ALONG-WIND MOTION OF A MULTISTORY BUILDING 13 2.3.2 RESPONSE OF
AN AIRPLANE TO ATMOSPHERIC TURBULENCE 19 2.3.3 RESPONSE OF AN INFINITE
BEAM TO BOUNDARY-LAYER TURBULENCE 23 2.3.4 BRIDGE RESPONSE TO WIND
EXCITATIONS 29 2.4 CONCLUDING REMARKS 34 2.5 EXERCISES 35 3 EVOLUTIONARY
SPECTRAL ANALYSIS 39 3.1 EVOLUTIONARY STOCHASTIC PROCESSES 39 3.2 THE
RANDOM PULSE TRAIN AND ITS EVOLUTIONARY SPECTRAL REPRESENTATION 41 3.3
LINEAR TIME-INVARIANT SYSTEMS UNDER ADDITIVE EXCITATIONS OF EVOLUTIONARY
STOCHASTIC PROCESSES 47 3.3.1 A MULTISTORY BUILDING UNDER HORIZONTAL
EARTHQUAKE EXCITATION 49 IX CONTENTS 3.3.2 A MULTIPLY SUPPORTED PIPELINE
UNDER SEISMIC SURFACE WAVE EXCITATIONS 53 3.4 EVOLUTIONARY
KANAI-TAJIMI-TYPE EARTHQUAKE MODELS 67 3.5 THE PULSE SHAPE FUNCTION FOR
LAYERED EARTH MEDIA 78 3.6 EARTHQUAKE GROUND MOTION IN A LAYERED EARTH
MEDIUM DUE TO PROPAGATING SEISMIC SOURCES 94 3.7 CONCLUDING REMARKS 108
3.8 EXERCISES 108 MARKOV PROCESSES ILL 4.1 CHARACTERIZATION OF A MARKOV
PROCESS 111 4.2 THE FOKKER-PLANCK EQUATION 113 4.3 THE WIENER PROCESS
122 4.4 THE ITO STOCHASTIC DIFFERENTIAL EQUATIONS 127 4.5 THE
ONE-DIMENSIONAL DIFFUSION PROCESS 129 4.5.1 AN EXAMPLE 136 4.6
APPROXIMATION OF A PHYSICAL PROCESS BY A MARKOV PROCESS 138 4.7
STOCHASTIC AVERAGING AND QUASI-CONSERVATIVE AVERAGING 144 4.7.1 A COLUMN
UNDER RANDOMLY VARYING AXIAL AND TRANSVERSE LOADS 149 4.7.2 SLIDING
MOTION OF AN ANCHORED RIGID BLOCK 154 4.7.3 A VAN DER POL-TYPE
OSCILLATOR 158 4.8 THE STRATPNOVICH STOCHASTIC DIFFERENTIAL EQUATIONS
162 4.9 CONCLUDING REMARKS 165 4.10 EXERCISES 166 EXACT SOLUTIONS FOR
MULTIDIMENSIONAL NONLINEAR SYSTEMS 169 5.1 STATIONARY POTENTIAL 171 5.2
STATE OF DETAILED BALANCE 173 5.2.1 A NONLINEAR SYSTEM UNDER ADDITIVE
WHITE NOISE EXCITATION 176 5.2.2 A NONLINEARLY DAMPED SYSTEM UNDER BOTH
MULTIPLICATIVE AND ADDITIVE WHITE NOISE EXCITATIONS 178 5.3 GENERALIZED
STATIONARY POTENTIAL 179 5.3.1 SINGLE-DEGREE-OF-FREEDOM SYSTEMS 180
5.3.2 MULTI-DEGREE-OF-FREEDOM SYSTEMS 186 5.3.3 STOCHASTICALLY PERTURBED
HAMILTONIAN SYSTEMS 189 5.4 EQUIVALENT STOCHASTIC SYSTEMS 193 5.5
CONCLUDING REMARKS 199 5.6 EXERCISES 199 STABILITY OF STOCHASTIC SYSTEMS
201 6.1 CONCEPTS OF STOCHASTIC STABILITY 203 6.2 ASYMPTOTIC SAMPLE
STABILITY OF LINEAR SYSTEMS UNDER ERGODIC RANDOM EXCITATIONS WITH ZERO
MEANS AND BOUNDED VARIANCES 205 6.2.1 MULTIPLICATIVE EXCITATIONS WITH
KNOWN VARIANCES AND COVARIANCE 209 6.2.2 MULTIPLICATIVE EXCITATIONS WITH
KNOWN PROBABILITY DISTRIBUTIONS 211 CONTENTS XI 6.2.3 ADDITIONAL
KNOWLEDGE OF MULTIPLICATIVE EXCITATION PROCESSES 217 6.2.4 METHOD OF
DIGITAL SIMULATION 222 6.3 ASYMPTOTIC SAMPLE STABILITY OF LINEAR SYSTEMS
UNDER GAUSSIAN WHITE NOISE EXCITATIONS 223 6.4 NUMERICAL METHODS FOR
OBTAINING LYAPUNOV EXPONENTS 230 6.4.1 A COLUMN UNDER RANDOMLY VARYING
AXIAL LOAD 234 6.5 ASYMPTOTIC MOMENT STABILITY OF LINEAR SYSTEMS 237
6.5.1 A COLUMN UNDER AXIAL WHITE NOISE EXCITATION 238 6.5.2 A COLUMN
UNDER AXIAL WIDEBAND EXCITATION 239 6.5.3 COUPLED BENDING-TORSIONAL
STABILITY OF A BEAM 241 6.5.4 STABILITY OF A COUPLED SYSTEM WITH BOTH
LOW-DAMPING AND HIGH-DAMPING MODES 246 6.6 MOTION STABILITY OF LONG-SPAN
BRIDGES IN TURBULENT FLOW 249 6.7 ASYMPTOTIC STABILITY OF NONLINEAR
SYSTEMS 264 6.7.1 A NONLINEARLY DAMPED OSCILLATOR 265 6.7.2 AN
OSCILLATOR WITH NONLINEAR RESTORING FORCE 270 6.7.3 A NONLINEAR SYSTEM
IN THE CLASS OF GENERALIZED STATIONARY POTENTIAL 275 6.8 CONCLUDING
REMARKS 276 6.9 EXERCISES 278 APPROXIMATE SOLUTIONS FOR MULTIDIMENSIONAL
NONLINEAR SYSTEMS 281 7.1 CUMULANT-NEGLECT CLOSURE 283 7.1.1 A DUFFING
OSCILLATOR UNDER ADDITIVE RANDOM EXCITATION 286 7.2 METHOD OF WEIGHTED
RESIDUALS 290 7.2.1 EQUIVALENT LINEARIZATION 293 7.2.2 PARTIAL
LINEARIZATION 294 7.2.3 DISSIPATION ENERGY BALANCING 295 7.3 RANDOMLY
EXCITED HYSTERETIC STRUCTURES 304 7.3.1 A HYSTERETIC SYSTEM UNDER
ADDITIVE EXCITATION 313 7.3.2 A HYSTERETIC COLUMN UNDER RANDOM GROUND
EXCITATIONS 317 7.4 IMPULSIVE NOISE EXCITATION 328 7.4.1 A DUFFING
OSCILLATOR UNDER ADDITIVE EXCITATION OF IMPULSIVE NOISE 334 7.4.2 A
NONLINEAR SYSTEM UNDER MULTIPLICATIVE EXCITATION OF IMPULSIVE NOISE 341
7.5 COMBINED HARMONIC AND RANDOM EXCITATIONS 344 7.5.1 A LINEAR SYSTEM
UNDER AN ADDITIVE RANDOM EXCITATION AND A MULTIPLICATIVE HARMONIC
EXCITATION 350 7.5.2 A NONLINEARLY DAMPED SYSTEM UNDER AN ADDITIVE
RANDOM EXCITATION AND A MULTIPLICATIVE HARMONIC EXCITATION 355 7.6
CONCLUDING REMARKS 358 7.7 EXERCISES 359 FIRST-EXCURSION FAILURES 363
8.1 THE GENERALIZED PONTRYAGIN EQUATION 364 8.2 MOMENTS OF
FIRST-EXCURSION TIME OF RESPONSE AMPLITUDE 367 CONTENTS 8.2.1 A LINEAR
OSCILLATOR UNDER BOTH ADDITIVE AND MULTIPLICATIVE RANDOM EXCITATIONS 368
8.2.2 A LINEAR SYSTEM UNDER ADDITIVE RANDOM EXCITATION 369 8.2.3 A
LINEAR SYSTEM UNDER MULTIPLICATIVE RANDOM EXCITATION 369 8.2.4 A VAN DER
POL OSCILLATOR 371 8.3 MOMENTS OF FIRST-EXCURSION TIME OF THE RESPONSE
ENERGY ENVELOPE 372 8.3.1 A NONLINEAR OSCILLATOR UNDER ADDITIVE WHITE
NOISE EXCITATION 373 8.3.2 A DUFFING OSCILLATOR UNDER MULTIPLICATIVE
WHITE NOISE EXCITATION 375 8.3.3 TOPPLING OF A RIGID BLOCK UNDER RANDOM
BASE EXCITATION 378 8.4 THE RELIABILITY FUNCTION 385 8.4.1 A LINEAR
OSCILLATOR UNDER ADDITIVE RANDOM EXCITATION 385 8.4.2 A LINEAR
OSCILLATOR UNDER BOTH ADDITIVE AND MULTIPLICATIVE RANDOM EXCITATIONS 387
8.5 FATIGUE CRACK GROWTH DUE TO RANDOM LOADING 390 8.5.1 FATIGUE CRACK
GROWTH IN A PLATE 399 8.6 CONCLUDING REMARKS 401 8.7 EXERCISES 403
DISORDERED STRUCTURES 405 9.1 RANDOM SYSTEM PARAMETERS WITH KNOWN
PROBABILITY DISTRIBUTION 406 9.2 FREE VIBRATION OF A DISORDERED PERIODIC
BEAM 410 9.3 WAVE MOTION IN DISORDERED PERIODIC STRUCTURES 422 9.3.1 A
MULTISPAN BEAM WITH RANDOM TORSIONAL SPRINGS AT SUPPORTS 435 9.4
FREQUENCY RESPONSE OF DISORDERED PERIODIC STRUCTURES 443 9.4.1 A
MULTISPAN BEAMWITH RANDOM SPAN LENGTHS 447 9.5 CONCLUDING REMARKS 453
9.6 EXERCISES 453 REFERENCES 455 INDEXES NAME INDEX 469 SUBJECT INDEX
473
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| author | Lin, Yu-Kweng 1923- Cai, Guo-Qiang |
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| discipline | Physik Bauingenieurwesen Mathematik |
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| id | DE-604.BV010548311 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:54:51Z |
| institution | BVB |
| isbn | 0070380384 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007031001 |
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| physical | XIV, 476 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | McGraw-Hill |
| record_format | marc |
| spelling | Lin, Yu-Kweng 1923- Verfasser (DE-588)123202736 aut Probabilistic structural dynamics advanced theory and applications Y. K. Lin ; G. Q. Cai New York [u.a.] McGraw-Hill 1995 XIV, 476 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frühere Ausg. u.d.T.: Lin, Yu-Kweng: Probabilistic theory of structural dynamics Stochastic processes Structural dynamics Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Strukturdynamik (DE-588)4226174-0 gnd rswk-swf Strukturdynamik (DE-588)4226174-0 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Cai, Guo-Qiang Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007031001&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lin, Yu-Kweng 1923- Cai, Guo-Qiang Probabilistic structural dynamics advanced theory and applications Stochastic processes Structural dynamics Stochastischer Prozess (DE-588)4057630-9 gnd Strukturdynamik (DE-588)4226174-0 gnd |
| subject_GND | (DE-588)4057630-9 (DE-588)4226174-0 |
| title | Probabilistic structural dynamics advanced theory and applications |
| title_auth | Probabilistic structural dynamics advanced theory and applications |
| title_exact_search | Probabilistic structural dynamics advanced theory and applications |
| title_full | Probabilistic structural dynamics advanced theory and applications Y. K. Lin ; G. Q. Cai |
| title_fullStr | Probabilistic structural dynamics advanced theory and applications Y. K. Lin ; G. Q. Cai |
| title_full_unstemmed | Probabilistic structural dynamics advanced theory and applications Y. K. Lin ; G. Q. Cai |
| title_short | Probabilistic structural dynamics |
| title_sort | probabilistic structural dynamics advanced theory and applications |
| title_sub | advanced theory and applications |
| topic | Stochastic processes Structural dynamics Stochastischer Prozess (DE-588)4057630-9 gnd Strukturdynamik (DE-588)4226174-0 gnd |
| topic_facet | Stochastic processes Structural dynamics Stochastischer Prozess Strukturdynamik |
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