Mathematical models for structural reliability analysis:
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | English |
Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press
1996
|
Schriftenreihe: | CRC mathematical modelling series
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 336 - 341 |
Beschreibung: | 368 S. graph. Darst. |
ISBN: | 084939631X |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV021937320 | ||
003 | DE-604 | ||
005 | 20040302000000.0 | ||
007 | t | ||
008 | 971104s1996 d||| |||| 00||| eng d | ||
020 | |a 084939631X |9 0-8493-9631-X | ||
035 | |a (OCoLC)34926921 | ||
035 | |a (DE-599)BVBBV021937320 | ||
040 | |a DE-604 |b ger | ||
041 | 0 | |a eng | |
049 | |a DE-706 |a DE-634 | ||
050 | 0 | |a TA656 | |
082 | 0 | |a 624.1/71 |2 20 | |
245 | 1 | 0 | |a Mathematical models for structural reliability analysis |c ed. by Fabio Casciati ... |
264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 1996 | |
300 | |a 368 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a CRC mathematical modelling series | |
500 | |a Literaturverz. S. 336 - 341 | ||
650 | 7 | |a Estabilidade das estruturas |2 larpcal | |
650 | 7 | |a Mecanica das estruturas |2 larpcal | |
650 | 4 | |a Mathematisches Modell | |
650 | 4 | |a Reliability (Engineering) |x Mathematical models | |
650 | 4 | |a Stochastic processes | |
650 | 4 | |a Structural stability |x Mathematical models | |
650 | 0 | 7 | |a Mathematisches Modell |0 (DE-588)4114528-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Statik |0 (DE-588)4056987-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Stabilität |0 (DE-588)4056693-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Stochastisches Modell |0 (DE-588)4057633-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Zuverlässigkeit |0 (DE-588)4059245-5 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Stabilität |0 (DE-588)4056693-6 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Statik |0 (DE-588)4056987-1 |D s |
689 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Stochastisches Modell |0 (DE-588)4057633-4 |D s |
689 | 2 | |5 DE-604 | |
689 | 3 | 0 | |a Zuverlässigkeit |0 (DE-588)4059245-5 |D s |
689 | 3 | |5 DE-604 | |
689 | 4 | 0 | |a Wahrscheinlichkeitsrechnung |0 (DE-588)4064324-4 |D s |
689 | 4 | |5 DE-604 | |
689 | 5 | 0 | |a Mathematisches Modell |0 (DE-588)4114528-8 |D s |
689 | 5 | |5 DE-604 | |
700 | 1 | |a Casciati, Fabio |e Sonstige |4 oth | |
856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015152472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-015152472 |
Datensatz im Suchindex
_version_ | 1804135896242454528 |
---|---|
adam_text | MATHEMATICAL MODELS FOR STRUCTURAL RELIABILITY ANALYSIS EDITED BY FABIO
CASCIATI BRIAN ROBERTS CRC PRESS BOCA RATON NEW YORK LONDON TOKYO
CONTENTS STOCHASTIC PROCESS MODELS (F. CASCIATI & M. DI PAOLA) 1 1.1
INTRODUCTION 1 1.2 THE ORTHOGONAL-INCREMENT MODEL 2 1.3 THE
CORRELATION-STATIONARY MODEL 3 1.3.1 TIME-INVARIANT LINEAR SYSTEMS 4
1.3.2 MODELS OF COMMON USE 5 1.4 THE EVOLUTIONARY MODEL 11 1.4.1
TIME-INVARIANT LINEAR SYSTEMS 11 1.5 MARKOV PROCESSES 15 1.5.1 A MODEL
OF COMMON USE 16 1.5.2 ITO STOCHASTIC DIFFERENTIAL EQUATION 17 1.5.3
SOME EXAMPLES 20 1.5.4 APPROXIMATION OF MECHANICAL PROCESSES: PHYSICAL
VERSUS ITO EQUATIONS 21 1.6 . THE RANDOM PULSE TRAIN MODEL 21 1.6.1 THE
DELTA-CORRELATED MODEL 22 1.6.2 FOKKER PLANCK AND MOMENT EQUATIONS FOR
PARAMETRIC DELTA CORRELATED INPUT 23 1.6.3 QUASI-LINEAR SYSTEMS 25 1.6.4
SIMULATION OF DELTA CORRELATED PROCESSES AND RESPONSE . 26 1.6.5
SIMULATION OF NORMAL WHITE NOISE INPUT AND RESPONSE . 29 1.6.6
ORTHOGONAL-INCREMENT MODEL FOR DELTA CORRELATED PROCESSES : 31 1.7
MULTIDEGREE-OF-FREEDOM SYSTEMS UNDER PARAMETRIC DELTA CORRELATED INPUT
36 1.7.1 MOMENT EQUATION APPROACH FOR MDOF SYSTEMS . . . . 37 1.7.2
SIMULATION OF MULTIVARIATE DELTA CORRELATED PROCESSES AND RESPONSE 38
1.8 CONCLUSIONS AND REFERENCES 40 MATHEMATICAL MODELS FOR STRUCTURAL
RELIABILITY ANALYSIS 1.9 APPENDIX 43 1.9.1 CHARACTERIZATION OF RANDOM
VARIABLES 43 1.9.2 JOINT CHARACTERIZATION OF RANDOM VARIABLES 44 1.9.3-
OPERATION ON STOCHASTIC PROCESSES 47 1.9.4 KRONECKER ALGEBRA: SOME
FUNDAMENTALS 48 DIMENSION REDUCTION AND DISCRETIZATION IN STOCHASTIC
PROBLEMS BY REGRESSION METHOD (O. DITLEVSEN) 51 2.1 INTRODUCTION 51 2.2
LINEAR REGRESSION 54 2.3 NORMAL DISTRIBUTION 61 2.4 NON-GAUSSIAN
DISTRIBUTIONS AND LINEAR REGRESSION 68 2.5 MARGINALLY TRANSFORMED
GAUSSIAN PROCESSES AND FIELDS 70 2.6 DISCRETIZED FIELDS DEFINED BY
LINEAR REGRESSION ON A FINITE SET OF FIELD VALUES 73 2.7 DISCRETIZATION
DEFINED BY LINEAR REGRESSION ON A FINITE SET OF LINEAR FUNCTIONALS 74
2.8 POISSON LOAD FIELD EXAMPLE 79 2.9 STOCHASTIC FINITE ELEMENT METHODS
AND RELIABILITY CALCULATIONS . 87 2.10 CLASSICAL VERSUS
STATISTICAL-STOCHASTIC INTERPOLATION FORMULATED ON THE BASIS OF THE
PRINCIPLE OF MAXIMUM LIKELIHOOD 91 2.11 COMPUTATIONAL PRACTICABILITY OF
THE STATISTICAL-STOCHASTIC INTERPOLATION METHOD 98 2.12 FIELD MODELING
ON THE BASIS OF MEASURED NOISY DATA 101 2.13 DISCRETIZATION DEFINED BY
LINEAR REGRESSION ON DERIVATIVES AT A SINGLE POINT 109 2.14 CONDITIONING
ON CROSSING EVENTS 113 2.15 SLEPIAN MODEL VECTOR PROCESSES 119 2.16
APPLICATIONS OF SLEPIAN MODEL PROCESSES IN STOCHASTIC MECHANICS 123 2.17
CONCLUSIONS AND REFERENCES 132 RELIABILITY OF RANDOMLY EXCITED
HYSTERETIC SYSTEMS (J.B. ROBERTS) 139 3.1 INTRODUCTION 139 3.2 MODELS OF
HYSTERESIS 142 3.2.1 BILINEAR HYSTERESIS 142 3.2.2 CURVILINEAR
HYSTERESIS 145 3.2.3 BACKBONE MODELS 145 3.3 THE STOCHASTIC AVERAGING
METHOD 145 3.3.1 THE EQUATION OF MOTION 145 3.3.2 AVERAGING THE ENERGY
DISSIPATION TERMS 149 3.3.3 AVERAGING THE EXCITATION TERM 152 3.3.4 THE
FPK EQUATIONS 158 3.3.5 STATIONARY SOLUTIONS 159 3.3.6 THE
CHARACTERISTIC FREQUENCY 160 CONTENTS 3.4 STATIONARY RESPONSE OF THE
BILINEAR OSCILLATOR 162 3.4.1 RESPONSE STATISTICS 164 3.4.2 COMPARISON
WITH SIMULATION RESULTS 166 3.4.3 YIELD STATISTICS 167 3.5 STATIONARY
RESPONSE OF OSCILLATORS WITH CURVILINEAR HYSTERESIS . 172 3.5.1 RESPONSE
STATISTICS 174 3.5.2 COMPARISON WITH EXPERIMENTAL RESULTS 174 3.6
NON-STATIONARY EXCITATION AND RESPONSE 177 3.6.1 NUMERICAL SOLUTION OF
THE FPK EQUATION 179 3.6.2 COMPARISON WITH SIMULATION RESULTS 182 3.7
THE ENERGY ENVELOPE METHOD 182 3.7.1 CALCULATION OF THE BACKBONE 186
3.7.2 CALCULATION OF THE AREA ENCLOSED BY A LOOP 186 3.7.3 CALCULATION
OF T(E), C(E), AND D 2 (E) 187 3.7.4 THE LOSS FACTOR 187 3.7.5 THE CASE
0 = 0 188 3.7.6 COMPARISON WITH SIMULATION 188 3.8 CONCLUDING REMARKS
AND REFERENCES 188 NON-PARAMETRIC ESTIMATION OF FAILURE PROBABILITIES
(AM. HASOFER) 195 4.1 INTRODUCTION 195 4.2 THE SINGLE DIMENSIONAL CASE ,
196 4.3 A SHORT STATEMENT OF EXTREME VALUE THEORY 197 4.4 ASYMPTOTICS OF
THE TOP ORDER STATISTICS 201 4.5 ESTIMATION OF HIGH QUANTILES FOR TYPE I
202 4.6 A TEST FOR EXTREME VALUE DOMAIN OF ATTRACTION 203 4.7 ESTIMATING
QUANTILES FOR TYPE III 204 4.8 ESTIMATING QUANTILES FOR TYPE II 206 4.9
THE CHOICE OF A: 207 4.10 EXTENSION TO MORE THAN ONE DIMENSION 213
4.10.1 AN ILLUSTRATION 214 4.11 INTRODUCING IMPORTANCE SAMPLING 214
4.11.1 A PRIMER OF IMPORTANCE SAMPLING 214 4.11.2 THE WEISSMAN ESTIMATOR
REVISITED 215 4.11.3 A MODIFIED WEISSMAN ESTIMATOR 216 4.11.4 DIRECT
SIMULATION OF K UPPER ORDER STATISTICS 217 4.11.5 EXTENSION TO THE
MULTIDIMENSIONAL CASE 217 4.11.6 SIMULATION EXAMPLES 219 4.12 THE
THRESHOLD METHOD 221 4.13 SERIAL DEPENDENCE AND SEASONALLY 223 4.14
CONCLUSIONS AND REFERENCES 224 MATHEMATICAL MODELS FOR STRUCTURAL
RELIABILITY ANALYSIS 5 RESPONSE SURFACE METHODS AND ASYMPTOTIC
APPROXIMATIONS (K. BREITUNG & L FARAVELLI) 227 5.1 INTRODUCTION 227 5.2
RESPONSE SURFACE METHODS 229 5.2.1 RESPONSE SURFACE MODEL OF LIMIT STATE
FUNCTIONS . . . . 232 5.2.2 THE REGRESSION MODEL IN A PROJECTION
FRAMEWORK . . . . 234 5.2.3 A TEST FOR LACK OF FIT 237 5.3 THE
CALCULATION OF FAILURE PROBABILITIES 241 5.3.1 THE BASIC PROBLEM 241
5.3.2 ANALYTIC APPROXIMATION METHODS 242 5.3.3 APPROXIMATIONS FOR
NON-NORMAL DISTRIBUTIONS 248 5.4 PARAMETER OPTIMIZATION AND UNCERTAINTY
251 5.4.1 DERIVATIVES WITH RESPECT TO PARAMETERS 251 5.4.2 APPROXIMATE
BAYESIAN ANALYSIS FOR PARAMETER UNCERTAINTIES254 5.5 NUMERICAL EXAMPLES
255 5.5.1 FUNCTION APPROXIMATION ON SUBSPACES 255 5.5.2 RELIABILITY
ASSESSMENT 259 5.6 CONCLUSIONS AND REFERENCES 261 5.7 APPENDIX A -
ANALYTICAL DETAILS 266 5.7.1 PROJECTIONS AND PROJECTION MATRICES 266
5.7.2 DEFINITENESS UNDER CONSTRAINTS 267 5.7.3 QUADRATIC FORMS ON
SUBSPACES 268 5.7.4 MAXIMUM LIKELIHOOD FOR NON-GAUSSIAN DISTRIBUTION . .
273 5.7.5 IMPROVEMENT BY IMPORTANCE SAMPLING METHODS 274 5.7.6
DIFFERENTIAL GEOMETRY OF A SURFACE 277 5.7.7 ASYMPTOTIC APPROXIMATIONS
277 5.7.8 ASYMPTOTIC APPROXIMATIONS FOR MULTIDIMENSIONAL INTEGRALS 279
5.8 APPENDIX B - NOTATION 284 6 STOCHASTIC METHODS FOR OFFSHORE
STRUCTURES (R.S. LANGLEY & S. MCWILLIAM) 287 6.1 INTRODUCTION 287 6.2
TYPES OF OFFSHORE STRUCTURES 288 6.3 ENVIRONMENTAL LOADING 291 6.3.1 THE
OFFSHORE ENVIRONMENT 292 6.3.2 ENVIRONMENTAL FORCES 295 6.4 STOCHASTIC
RESPONSE ANALYSIS 301 6.4.1 OVERVIEW 301 6.4.2 THE ENVIRONMENTAL MODEL
301 6.4.3 THE WAVE FORCE MODEL 303 6.4.4 THE STRUCTURAL MODEL 303 6.4.5
THE ANALYTICAL SOLUTION TECHNIQUE 304 6.5 FIXED OFFSHORE STRUCTURES 308
CONTENTS 6.5.1 MORISON-TYPE WAVE LOADING STATISTICS 309 6.5.2
QUASI-STATIC RESPONSE OF LINEAR STRUCTURES 313 6.6 LARGE FLOATING
STRUCTURES 315 6.6.1 - RESPONSE OF LINEARLY MOORED STRUCTURES TO
NON-LINEAR WAVE FORCES 317 6.6.2 RESPONSE OF NON-LINEARLY MOORED VESSELS
TO NON-LINEAR WAVE FORCES 326 6.7 FATIGUE ANALYSIS 330 6.7.1 OVERVIEW
330 6.7.2 REGULAR WAVE ANALYSIS 331 6.7.3 NARROW BAND RANDOM ANALYSIS
331 6.7.4 WIDE BAND RANDOM ANALYSIS 333 6.8 RELIABILITY METHODS 334 6.9
CONCLUDING REMARKS AND REFERENCES 335 INDEX 343
|
adam_txt |
MATHEMATICAL MODELS FOR STRUCTURAL RELIABILITY ANALYSIS EDITED BY FABIO
CASCIATI BRIAN ROBERTS CRC PRESS BOCA RATON NEW YORK LONDON TOKYO
CONTENTS STOCHASTIC PROCESS MODELS (F. CASCIATI & M. DI PAOLA) 1 1.1
INTRODUCTION 1 1.2 THE ORTHOGONAL-INCREMENT MODEL 2 1.3 THE
CORRELATION-STATIONARY MODEL 3 1.3.1 TIME-INVARIANT LINEAR SYSTEMS 4
1.3.2 MODELS OF COMMON USE 5 1.4 THE EVOLUTIONARY MODEL 11 1.4.1
TIME-INVARIANT LINEAR SYSTEMS 11 1.5 MARKOV PROCESSES 15 1.5.1 A MODEL
OF COMMON USE 16 1.5.2 ITO STOCHASTIC DIFFERENTIAL EQUATION 17 1.5.3
SOME EXAMPLES 20 1.5.4 APPROXIMATION OF MECHANICAL PROCESSES: PHYSICAL
VERSUS ITO EQUATIONS 21 1.6 . THE RANDOM PULSE TRAIN MODEL 21 1.6.1 THE
DELTA-CORRELATED MODEL 22 1.6.2 FOKKER PLANCK AND MOMENT EQUATIONS FOR
PARAMETRIC DELTA CORRELATED INPUT 23 1.6.3 QUASI-LINEAR SYSTEMS 25 1.6.4
SIMULATION OF DELTA CORRELATED PROCESSES AND RESPONSE . 26 1.6.5
SIMULATION OF NORMAL WHITE NOISE INPUT AND RESPONSE . 29 1.6.6
ORTHOGONAL-INCREMENT MODEL FOR DELTA CORRELATED PROCESSES : 31 1.7
MULTIDEGREE-OF-FREEDOM SYSTEMS UNDER PARAMETRIC DELTA CORRELATED INPUT
36 1.7.1 MOMENT EQUATION APPROACH FOR MDOF SYSTEMS . . . . 37 1.7.2
SIMULATION OF MULTIVARIATE DELTA CORRELATED PROCESSES AND RESPONSE 38
1.8 CONCLUSIONS AND REFERENCES 40 MATHEMATICAL MODELS FOR STRUCTURAL
RELIABILITY ANALYSIS 1.9 APPENDIX 43 1.9.1 CHARACTERIZATION OF RANDOM
VARIABLES 43 1.9.2 JOINT CHARACTERIZATION OF RANDOM VARIABLES 44 1.9.3-
OPERATION ON STOCHASTIC PROCESSES 47 1.9.4 KRONECKER ALGEBRA: SOME
FUNDAMENTALS 48 DIMENSION REDUCTION AND DISCRETIZATION IN STOCHASTIC
PROBLEMS BY REGRESSION METHOD (O. DITLEVSEN) 51 2.1 INTRODUCTION 51 2.2
LINEAR REGRESSION 54 2.3 NORMAL DISTRIBUTION 61 2.4 NON-GAUSSIAN
DISTRIBUTIONS AND LINEAR REGRESSION 68 2.5 MARGINALLY TRANSFORMED
GAUSSIAN PROCESSES AND FIELDS 70 2.6 DISCRETIZED FIELDS DEFINED BY
LINEAR REGRESSION ON A FINITE SET OF FIELD VALUES 73 2.7 DISCRETIZATION
DEFINED BY LINEAR REGRESSION ON A FINITE SET OF LINEAR FUNCTIONALS 74
2.8 POISSON LOAD FIELD EXAMPLE 79 2.9 STOCHASTIC FINITE ELEMENT METHODS
AND RELIABILITY CALCULATIONS . 87 2.10 CLASSICAL VERSUS
STATISTICAL-STOCHASTIC INTERPOLATION FORMULATED ON THE BASIS OF THE
PRINCIPLE OF MAXIMUM LIKELIHOOD 91 2.11 COMPUTATIONAL PRACTICABILITY OF
THE STATISTICAL-STOCHASTIC INTERPOLATION METHOD 98 2.12 FIELD MODELING
ON THE BASIS OF MEASURED NOISY DATA 101 2.13 DISCRETIZATION DEFINED BY
LINEAR REGRESSION ON DERIVATIVES AT A SINGLE POINT 109 2.14 CONDITIONING
ON CROSSING EVENTS 113 2.15 SLEPIAN MODEL VECTOR PROCESSES 119 2.16
APPLICATIONS OF SLEPIAN MODEL PROCESSES IN STOCHASTIC MECHANICS 123 2.17
CONCLUSIONS AND REFERENCES 132 RELIABILITY OF RANDOMLY EXCITED
HYSTERETIC SYSTEMS (J.B. ROBERTS) 139 3.1 INTRODUCTION 139 3.2 MODELS OF
HYSTERESIS 142 3.2.1 BILINEAR HYSTERESIS 142 3.2.2 CURVILINEAR
HYSTERESIS 145 3.2.3 BACKBONE MODELS 145 3.3 THE STOCHASTIC AVERAGING
METHOD 145 3.3.1 THE EQUATION OF MOTION 145 3.3.2 AVERAGING THE ENERGY
DISSIPATION TERMS 149 3.3.3 AVERAGING THE EXCITATION TERM 152 3.3.4 THE
FPK EQUATIONS 158 3.3.5 STATIONARY SOLUTIONS 159 3.3.6 THE
CHARACTERISTIC FREQUENCY 160 CONTENTS 3.4 STATIONARY RESPONSE OF THE
BILINEAR OSCILLATOR 162 3.4.1 RESPONSE STATISTICS 164 3.4.2 COMPARISON
WITH SIMULATION RESULTS 166 3.4.3 YIELD STATISTICS 167 3.5 STATIONARY
RESPONSE OF OSCILLATORS WITH CURVILINEAR HYSTERESIS . 172 3.5.1 RESPONSE
STATISTICS 174 3.5.2 COMPARISON WITH EXPERIMENTAL RESULTS 174 3.6
NON-STATIONARY EXCITATION AND RESPONSE 177 3.6.1 NUMERICAL SOLUTION OF
THE FPK EQUATION 179 3.6.2 COMPARISON WITH SIMULATION RESULTS 182 3.7
THE ENERGY ENVELOPE METHOD 182 3.7.1 CALCULATION OF THE BACKBONE 186
3.7.2 CALCULATION OF THE AREA ENCLOSED BY A LOOP 186 3.7.3 CALCULATION
OF T(E), C(E), AND D 2 (E) 187 3.7.4 THE LOSS FACTOR 187 3.7.5 THE CASE
0 = 0 188 3.7.6 COMPARISON WITH SIMULATION 188 3.8 CONCLUDING REMARKS
AND REFERENCES 188 NON-PARAMETRIC ESTIMATION OF FAILURE PROBABILITIES
(AM. HASOFER) 195 4.1 INTRODUCTION 195 4.2 THE SINGLE DIMENSIONAL CASE ,
196 4.3 A SHORT STATEMENT OF EXTREME VALUE THEORY 197 4.4 ASYMPTOTICS OF
THE TOP ORDER STATISTICS 201 4.5 ESTIMATION OF HIGH QUANTILES FOR TYPE I
202 4.6 A TEST FOR EXTREME VALUE DOMAIN OF ATTRACTION 203 4.7 ESTIMATING
QUANTILES FOR TYPE III 204 4.8 ESTIMATING QUANTILES FOR TYPE II 206 4.9
THE CHOICE OF A: 207 4.10 EXTENSION TO MORE THAN ONE DIMENSION 213
4.10.1 AN ILLUSTRATION 214 4.11 INTRODUCING IMPORTANCE SAMPLING 214
4.11.1 A PRIMER OF IMPORTANCE SAMPLING 214 4.11.2 THE WEISSMAN ESTIMATOR
REVISITED 215 4.11.3 A MODIFIED WEISSMAN ESTIMATOR 216 4.11.4 DIRECT
SIMULATION OF K UPPER ORDER STATISTICS 217 4.11.5 EXTENSION TO THE
MULTIDIMENSIONAL CASE 217 4.11.6 SIMULATION EXAMPLES 219 4.12 THE
THRESHOLD METHOD 221 4.13 SERIAL DEPENDENCE AND SEASONALLY 223 4.14
CONCLUSIONS AND REFERENCES 224 MATHEMATICAL MODELS FOR STRUCTURAL
RELIABILITY ANALYSIS 5 RESPONSE SURFACE METHODS AND ASYMPTOTIC
APPROXIMATIONS (K. BREITUNG & L FARAVELLI) 227 5.1 INTRODUCTION 227 5.2
RESPONSE SURFACE METHODS 229 5.2.1 RESPONSE SURFACE MODEL OF LIMIT STATE
FUNCTIONS . . . . 232 5.2.2 THE REGRESSION MODEL IN A PROJECTION
FRAMEWORK . . . . 234 5.2.3 A TEST FOR LACK OF FIT 237 5.3 THE
CALCULATION OF FAILURE PROBABILITIES 241 5.3.1 THE BASIC PROBLEM 241
5.3.2 ANALYTIC APPROXIMATION METHODS 242 5.3.3 APPROXIMATIONS FOR
NON-NORMAL DISTRIBUTIONS 248 5.4 PARAMETER OPTIMIZATION AND UNCERTAINTY
251 5.4.1 DERIVATIVES WITH RESPECT TO PARAMETERS 251 5.4.2 APPROXIMATE
BAYESIAN ANALYSIS FOR PARAMETER UNCERTAINTIES254 5.5 NUMERICAL EXAMPLES
255 5.5.1 FUNCTION APPROXIMATION ON SUBSPACES 255 5.5.2 RELIABILITY
ASSESSMENT 259 5.6 CONCLUSIONS AND REFERENCES 261 5.7 APPENDIX A -
ANALYTICAL DETAILS 266 5.7.1 PROJECTIONS AND PROJECTION MATRICES 266
5.7.2 DEFINITENESS UNDER CONSTRAINTS 267 5.7.3 QUADRATIC FORMS ON
SUBSPACES 268 5.7.4 MAXIMUM LIKELIHOOD FOR NON-GAUSSIAN DISTRIBUTION . .
273 5.7.5 IMPROVEMENT BY IMPORTANCE SAMPLING METHODS 274 5.7.6
DIFFERENTIAL GEOMETRY OF A SURFACE 277 5.7.7 ASYMPTOTIC APPROXIMATIONS
277 5.7.8 ASYMPTOTIC APPROXIMATIONS FOR MULTIDIMENSIONAL INTEGRALS 279
5.8 APPENDIX B - NOTATION 284 6 STOCHASTIC METHODS FOR OFFSHORE
STRUCTURES (R.S. LANGLEY & S. MCWILLIAM) 287 6.1 INTRODUCTION 287 6.2
TYPES OF OFFSHORE STRUCTURES 288 6.3 ENVIRONMENTAL LOADING 291 6.3.1 THE
OFFSHORE ENVIRONMENT 292 6.3.2 ENVIRONMENTAL FORCES 295 6.4 STOCHASTIC
RESPONSE ANALYSIS 301 6.4.1 OVERVIEW 301 6.4.2 THE ENVIRONMENTAL MODEL
301 6.4.3 THE WAVE FORCE MODEL 303 6.4.4 THE STRUCTURAL MODEL 303 6.4.5
THE ANALYTICAL SOLUTION TECHNIQUE 304 6.5 FIXED OFFSHORE STRUCTURES 308
CONTENTS 6.5.1 MORISON-TYPE WAVE LOADING STATISTICS 309 6.5.2
QUASI-STATIC RESPONSE OF LINEAR STRUCTURES 313 6.6 LARGE FLOATING
STRUCTURES 315 6.6.1 - RESPONSE OF LINEARLY MOORED STRUCTURES TO
NON-LINEAR WAVE FORCES 317 6.6.2 RESPONSE OF NON-LINEARLY MOORED VESSELS
TO NON-LINEAR WAVE FORCES 326 6.7 FATIGUE ANALYSIS 330 6.7.1 OVERVIEW
330 6.7.2 REGULAR WAVE ANALYSIS 331 6.7.3 NARROW BAND RANDOM ANALYSIS
331 6.7.4 WIDE BAND RANDOM ANALYSIS 333 6.8 RELIABILITY METHODS 334 6.9
CONCLUDING REMARKS AND REFERENCES 335 INDEX 343 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
building | Verbundindex |
bvnumber | BV021937320 |
callnumber-first | T - Technology |
callnumber-label | TA656 |
callnumber-raw | TA656 |
callnumber-search | TA656 |
callnumber-sort | TA 3656 |
callnumber-subject | TA - General and Civil Engineering |
ctrlnum | (OCoLC)34926921 (DE-599)BVBBV021937320 |
dewey-full | 624.1/71 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 624 - Civil engineering |
dewey-raw | 624.1/71 |
dewey-search | 624.1/71 |
dewey-sort | 3624.1 271 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Bauingenieurwesen |
discipline_str_mv | Bauingenieurwesen |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02312nam a2200601zc 4500</leader><controlfield tag="001">BV021937320</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040302000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">971104s1996 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">084939631X</subfield><subfield code="9">0-8493-9631-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34926921</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021937320</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">TA656</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">624.1/71</subfield><subfield code="2">20</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mathematical models for structural reliability analysis</subfield><subfield code="c">ed. by Fabio Casciati ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boca Raton, Fla. [u.a.]</subfield><subfield code="b">CRC Press</subfield><subfield code="c">1996</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">368 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">CRC mathematical modelling series</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 336 - 341</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Estabilidade das estruturas</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mecanica das estruturas</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematisches Modell</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Reliability (Engineering)</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Stochastic processes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Structural stability</subfield><subfield code="x">Mathematical models</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Statik</subfield><subfield code="0">(DE-588)4056987-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsrechnung</subfield><subfield code="0">(DE-588)4064324-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Zuverlässigkeit</subfield><subfield code="0">(DE-588)4059245-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stabilität</subfield><subfield code="0">(DE-588)4056693-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Statik</subfield><subfield code="0">(DE-588)4056987-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Stochastisches Modell</subfield><subfield code="0">(DE-588)4057633-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Zuverlässigkeit</subfield><subfield code="0">(DE-588)4059245-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="4" ind2="0"><subfield code="a">Wahrscheinlichkeitsrechnung</subfield><subfield code="0">(DE-588)4064324-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="4" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="5" ind2="0"><subfield code="a">Mathematisches Modell</subfield><subfield code="0">(DE-588)4114528-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="5" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Casciati, Fabio</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015152472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-015152472</subfield></datafield></record></collection> |
id | DE-604.BV021937320 |
illustrated | Illustrated |
index_date | 2024-07-02T16:06:41Z |
indexdate | 2024-07-09T20:47:47Z |
institution | BVB |
isbn | 084939631X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015152472 |
oclc_num | 34926921 |
open_access_boolean | |
owner | DE-706 DE-634 |
owner_facet | DE-706 DE-634 |
physical | 368 S. graph. Darst. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | CRC Press |
record_format | marc |
series2 | CRC mathematical modelling series |
spelling | Mathematical models for structural reliability analysis ed. by Fabio Casciati ... Boca Raton, Fla. [u.a.] CRC Press 1996 368 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CRC mathematical modelling series Literaturverz. S. 336 - 341 Estabilidade das estruturas larpcal Mecanica das estruturas larpcal Mathematisches Modell Reliability (Engineering) Mathematical models Stochastic processes Structural stability Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Statik (DE-588)4056987-1 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Zuverlässigkeit (DE-588)4059245-5 gnd rswk-swf Stabilität (DE-588)4056693-6 s DE-604 Statik (DE-588)4056987-1 s Stochastisches Modell (DE-588)4057633-4 s Zuverlässigkeit (DE-588)4059245-5 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Mathematisches Modell (DE-588)4114528-8 s Casciati, Fabio Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015152472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Mathematical models for structural reliability analysis Estabilidade das estruturas larpcal Mecanica das estruturas larpcal Mathematisches Modell Reliability (Engineering) Mathematical models Stochastic processes Structural stability Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Statik (DE-588)4056987-1 gnd Stabilität (DE-588)4056693-6 gnd Stochastisches Modell (DE-588)4057633-4 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Zuverlässigkeit (DE-588)4059245-5 gnd |
subject_GND | (DE-588)4114528-8 (DE-588)4056987-1 (DE-588)4056693-6 (DE-588)4057633-4 (DE-588)4064324-4 (DE-588)4059245-5 |
title | Mathematical models for structural reliability analysis |
title_auth | Mathematical models for structural reliability analysis |
title_exact_search | Mathematical models for structural reliability analysis |
title_exact_search_txtP | Mathematical models for structural reliability analysis |
title_full | Mathematical models for structural reliability analysis ed. by Fabio Casciati ... |
title_fullStr | Mathematical models for structural reliability analysis ed. by Fabio Casciati ... |
title_full_unstemmed | Mathematical models for structural reliability analysis ed. by Fabio Casciati ... |
title_short | Mathematical models for structural reliability analysis |
title_sort | mathematical models for structural reliability analysis |
topic | Estabilidade das estruturas larpcal Mecanica das estruturas larpcal Mathematisches Modell Reliability (Engineering) Mathematical models Stochastic processes Structural stability Mathematical models Mathematisches Modell (DE-588)4114528-8 gnd Statik (DE-588)4056987-1 gnd Stabilität (DE-588)4056693-6 gnd Stochastisches Modell (DE-588)4057633-4 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Zuverlässigkeit (DE-588)4059245-5 gnd |
topic_facet | Estabilidade das estruturas Mecanica das estruturas Mathematisches Modell Reliability (Engineering) Mathematical models Stochastic processes Structural stability Mathematical models Statik Stabilität Stochastisches Modell Wahrscheinlichkeitsrechnung Zuverlässigkeit |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015152472&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT casciatifabio mathematicalmodelsforstructuralreliabilityanalysis |