Holdings: Probabilistic structural dynamics

Probabilistic structural dynamics: advanced theory and applications

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Bibliographic Details
Main Authors:	Lin, Yu-Kweng 1923- (Author), Cai, Guo-Qiang (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] McGraw-Hill 1995
Subjects:	Stochastic processes Structural dynamics Stochastischer Prozess Strukturdynamik
Online Access:	Inhaltsverzeichnis
Item Description:	Frühere Ausg. u.d.T.: Lin, Yu-Kweng: Probabilistic theory of structural dynamics
Physical Description:	XIV, 476 S. graph. Darst.
ISBN:	0070380384

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MARC


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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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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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work_keys_str_mv	AT linyukweng probabilisticstructuraldynamicsadvancedtheoryandapplications AT caiguoqiang probabilisticstructuraldynamicsadvancedtheoryandapplications

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