Fuzzy randomness: uncertainty in civil engineering and computational mechanics
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2004
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Schriftenreihe: | Engineering online library
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 308 - 320 |
Beschreibung: | XV, 335 S. graph. Darst. 24 cm |
ISBN: | 3540402942 |
Internformat
MARC
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245 | 1 | 0 | |a Fuzzy randomness |b uncertainty in civil engineering and computational mechanics |c Bernd Möller ; Michael Beer |
264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
300 | |a XV, 335 S. |b graph. Darst. |c 24 cm | ||
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500 | |a Literaturverz. S. 308 - 320 | ||
650 | 4 | |a Ingenieurwissenschaften | |
650 | 4 | |a Engineering |x Management | |
650 | 4 | |a Fuzzy logic | |
650 | 4 | |a Risk management | |
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Datensatz im Suchindex
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adam_text | BERND MOELLER MICHAEL BEER FUZZY RANDOMNESS UNCERTAINTY IN CIVIL
ENGINEERING AND COEMPUETAETIONAL MECHANICS WITH 234 FIGURES SPRINGER
CONTENTS ABBREVIATIONS XI 1 INTRODUCTION 1 1.1 THE PHENOMENON OF
UNCERTAINTY 1 1.2 DEFINITION AND CLASSIFICATION OF UNCERTAINTY 6 1.3
EXAMPLES OF DATA AND MODEL UNCERTAINTY 8 1.4 ON THE STATE OF DEVELOPMENT
OF UNCERTAINTY MODELS 11 2 MATHEMATICAL BASICS FOR THE FORMAL
DESCRIPTION OF UNCERTAINTY 19 2.1 FUZZINESS - DEFINITIONS AND ARITHMETIC
19 2.1.1 CRISP SET AND FUZZY SET 19 2.1.2 FUZZY NUMBER 21 2.1.3 A-LEVEL
SET 22 2.1.4 LINGUISTIC VARIABLES 23 2.1.5 SET THEORETICAL OPERATIONS 25
2.1.6 CARTESIAN PRODUCT 27 2.1.7 EXTENSION PRINCIPLE 28 2.1.8
INTERACTION BETWEEN FUZZY VARIABLES 33 2.1.9 A-DISCRETIZATION OF FUZZY
SETS 36 2.1.10 DEFUZZIFICATION OF FUZZY VARIABLES 38 2.1.11 FUZZY
FUNCTIONS 41 2.1.11.1 DEFINITION OF FUZZY FUNCTIONS, FUZZY PROCESSES,
AND FUZZY FIELDS 41 2.1.11.2 POINT AND TIME DISCRETIZATION OF FUZZY
FUNCTIONS . 49 2.1.11.3 APPROXIMATIVE DESCRIPTION OF FUZZY FUNCTIONS ...
52 2.2 ELEMENTS OF MEASURE THEORY 53 2.2.1 MEASURE AND UNCERTAIN MEASURE
OF CRISP SETS 53 2.2.2 PROBABILITY 56 2.2.3 OTHER UNCERTAIN MEASURES 59
2.2.4 MEASURES OF UNCERTAINTY 64 2.3 FUZZY RANDOMNESS 66 2.3.1 FUZZY
RANDOM VECTORS 66 2.3.1.1 DEFINITION OF FUZZY RANDOM VECTORS 66 2.3.1.2
PROBABILITY MEASURE FOR FUZZY RANDOM VECTORS .. 68 CONTENTS 2.3.1.3
FUZZY PROBABILITY DISTRIBUTIONS 73 2.3.1.4 PARAMETERS OF FUZZY RANDOM
VECTORS 77 2.3.2 FUZZY RANDOM FUNCTIONS 79 2.3.2.1 DEFINITION OF FUZZY
RANDOM FUNCTIONS 79 2.3.2.2 PARAMETERS AND PROPERTIES OF FUZZY RANDOM
FUNCTIONS 82 2.3.2.3 FUZZY RANDOM FIELD AND FUZZY RANDOM PROCESS AS
SPECIAL CASES OF FUZZY RANDOM FUNCTIONS .... 85 3 DESCRIPTION OF
UNCERTAIN STRUCTURAL PARAMETERS AS FUZZY VARIABLES . 90 3.1 DATA
UNCERTAINTY - SPECIFICATION OF MEMBERSHIP FUNCTIONS 91 3.2 MODEL
UNCERTAINTY - CONSTRUCTION OF FUZZY MODELS 103 4 DESCRIPTION OF
UNCERTAIN STRUCTURAL PARAMETERS AS FUZZY RANDOM VARIABLES 109 4.1
TECHNIQUES FOR MODELING FUZZY RANDOM VARIABLES 109 4.1.1 FUZZY
PROBABILITY DISTRIBUTION FUNCTION FOR KNOWN FUZZY PARAMETERS 110 4.1.2
FUZZY PROBABILITY DISTRIBUTION FUNCTION WITH A FUZZY DISTRIBUTION TYPE
114 4.2 FUZZY RANDOM VARIABLES AND TYPICAL DATA SITUATIONS 117 4.2.1
SMALL SAMPLE SIZE 117 4.2.2 SAMPLES WITH UNKNOWN, NONCONSTANT
REPRODUCTION CONDITIONS 120 4.2.3 SAMPLES WITH KNOWN, NONCONSTANT
REPRODUCTION CONDITIONS 126 5 FUZZY AND FUZZY STOCHASTIC STRUCTURAL
ANALYSIS 135 5.1 UNCERTAIN STRUCTURAL ANALYSIS AND DETERMINISTIC
FUNDAMENTAL SOLUTION 135 5.2 FUZZY STRUCTURAL ANALYSIS 137 5.2.1 FUZZY
STRUCTURAL ANALYSIS WITH THE AID OF THE EXTENSION PRINCIPLE 137 5.2.2
FUZZY STRUCTURAL ANALYSIS WITH THE AID OF A-LEVEL OPTIMIZATION 143
5.2.2.1 DEVELOPING A-LEVEL OPTIMIZATION FROM THE EXTENSION PRINCIPLE 143
5.2.2.2 PROPERTIES OF THE MAPPING MODEL 147 5.2.3 SOLUTION TECHNIQUES
FOR A-LEVEL OPTIMIZATION 157 5.2.3.1 SPECIFICATION OF THE OPTIMIZATION
PROBLEM 157 5.2.3.2 MONTE CARLO SIMULATION AND MESH SEARCH TECHNIQUES
159 5.2.3.3 GRADIENT METHOD AND EVOLUTION STRATEGY 159 5.2.3.4 MODIFIED
EVOLUTION STRATEGY 161 CONTENTS IX 5.2.4 FUZZY FINITE ELEMENT METHOD
(FFEM) 177 5.2.5 APPLICATION OF FUZZY STRUCTURAL ANALYSIS 184 5.2.5.1
MULTISTOREY FRAME, LINEAR DYNAMIC ANALYSIS - INITIAL VALUE PROBLEM 185
5.2.5.2 STEEL FRAME, GEOMETRICALLY NONLINEAR STATICAL ANALYSIS 193
5.2.5.3 REINFORCED-CONCRETE FRAME, NONLINEAR STATICAL ANALYSIS 196
5.2.5.4 PRESTRESSED REINFORCED-CONCRETE FRAME, NONLINEAR DYNAMIC
ANALYSIS 201 5.2.5.5 REINFORCED-CONCRETE FOLDED-PLATE STRUCTURE, FUZZY
FINITE ELEMENT METHOD, PHYSICALLY NONLINEAR ANALYSIS . 205 5.3 FUZZY
STOCHASTIC STRUCTURAL ANALYSIS 209 5.3.1 FUZZY STOCHASTIC FINITE ELEMENT
METHOD 210 5.3.2 APPLICATION OF THE FUZZY STOCHASTIC FINITE ELEMENT
METHOD 216 5.3.2.1 NUMERICAL SIMULATION OF THE STRUCTURAL BEHAVIOR OF A
TEXTILE-REINFORCED SPECIMEN .... 216 5.3.2.2 REINFORCED-CONCRETE PLATE,
PHYSICALLY NONLINEAR ANALYSIS 219 5.3.2.3 REINFORCED-CONCRETE
FOLDED-PLATE STRUCTURE, PHYSICALLY NONLINEAR ANALYSIS 223 FUZZY
PROBABILISTIC SAFETY ASSESSMENT 228 6.1 CONCEPTUAL IDEA OF THE FUZZY
FIRST ORDER RELIABILITY METHOD (FFORM) 228 6.2 ORIGINAL SPACE OF THE
FUZZY PROBABILISTIC BASIC VARIABLES 229 6.2.1 FUZZY PROBABILISTIC BASIC
VARIABLES AND JOINT FUZZY PROBABILITY DENSITY FUNCTION 229 6.2.2 FUZZY
LIMIT STATE SURFACE 231 6.2.3 FUZZY DESIGN POINT 233 6.3 TRANSFORMATION
OF FUZZY RANDOM VARIABLES 236 6.4 STANDARD NORMAL SPACE OF THE
NORMALIZED BASIC VARIABLES 238 6.4.1 STANDARD NORMAL JOINT PROBABILITY
DENSITY FUNCTION AND FUZZY LIMIT STATE SURFACE 238 6.4.2 FUZZY DESIGN
POINT AND FUZZY RELIABILITY INDEX 240 6.5 SAFETY VERIFICATION 245 6.6
NUMERICAL REALIZATION 248 6.7 APPLICATION OF FFORM 253 6.7.1 STEEL
GIRDER, PHYSICALLY NONLINEAR STATICAL SYSTEM BEHAVIOR 253 6.7.2
REINFORCED-CONCRETE FRAME, NONLINEAR STATICAL SYSTEM BEHAVIOR 262 X
CONTENTS 7 STRUCTURAL DESIGN BASED ON CLUSTERING . 273 7.1 CONCEPTUAL
IDEA 273 7.2 ON THE APPLICATION OF CLUSTER ANALYSIS METHODS 276 7.2.1
INTRODUCTORY REMARKS 276 7.2.2 K-MEDOID CLUSTER METHOD 277 7.2.3 FUZZY
CLUSTER METHOD 279 7.3 COMPOSITION OF FUZZY CLUSTER DESIGN 282 7.3.1
MAPPING SPACES 282 7.3.2 ALGORITHMIC PROCEDURE 284 7.3.3 ASSESSMENT OF
THE RESULTS FROM FUZZY CLUSTER DESIGN .... 287 7.4 EXAMPLES 288 7.4.1
STEEL GIRDER, STRUCTURAL DESIGN FOR TIME-DEPENDENT LOAD 288 7.4.2
REINFORCED-CONCRETE FRAME, STRUCTURAL DESIGN WITH FFORM 301 REFERENCES
308 INDEX 321
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any_adam_object | 1 |
author | Möller, Bernd 1941- Beer, Michael 1970- |
author_GND | (DE-588)128843519 (DE-588)128843667 |
author_facet | Möller, Bernd 1941- Beer, Michael 1970- |
author_role | aut aut |
author_sort | Möller, Bernd 1941- |
author_variant | b m bm m b mb |
building | Verbundindex |
bvnumber | BV019313405 |
callnumber-first | T - Technology |
callnumber-label | TA190 |
callnumber-raw | TA190 |
callnumber-search | TA190 |
callnumber-sort | TA 3190 |
callnumber-subject | TA - General and Civil Engineering |
classification_rvk | ZQ 5240 |
classification_tum | MAT 600f TEC 700f |
ctrlnum | (OCoLC)54371626 (DE-599)BVBBV019313405 |
dewey-full | 624 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 624 - Civil engineering |
dewey-raw | 624 |
dewey-search | 624 |
dewey-sort | 3624 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Technik Bauingenieurwesen Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
format | Book |
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id | DE-604.BV019313405 |
illustrated | Illustrated |
indexdate | 2024-07-09T19:57:25Z |
institution | BVB |
isbn | 3540402942 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012781094 |
oclc_num | 54371626 |
open_access_boolean | |
owner | DE-703 DE-M347 DE-1043 DE-706 DE-83 DE-91G DE-BY-TUM DE-525 DE-29T DE-210 |
owner_facet | DE-703 DE-M347 DE-1043 DE-706 DE-83 DE-91G DE-BY-TUM DE-525 DE-29T DE-210 |
physical | XV, 335 S. graph. Darst. 24 cm |
publishDate | 2004 |
publishDateSearch | 2004 |
publishDateSort | 2004 |
publisher | Springer |
record_format | marc |
series2 | Engineering online library |
spelling | Möller, Bernd 1941- Verfasser (DE-588)128843519 aut Fuzzy randomness uncertainty in civil engineering and computational mechanics Bernd Möller ; Michael Beer Berlin [u.a.] Springer 2004 XV, 335 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Engineering online library Literaturverz. S. 308 - 320 Ingenieurwissenschaften Engineering Management Fuzzy logic Risk management Probabilistische Sicherheitsanalyse (DE-588)4322949-9 gnd rswk-swf Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Probabilistische Sicherheitsanalyse (DE-588)4322949-9 s Fuzzy-Zufallsvariable (DE-588)4201987-4 s DE-604 Strukturmechanik (DE-588)4126904-4 s Finite-Elemente-Methode (DE-588)4017233-8 s Beer, Michael 1970- Verfasser (DE-588)128843667 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012781094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Möller, Bernd 1941- Beer, Michael 1970- Fuzzy randomness uncertainty in civil engineering and computational mechanics Ingenieurwissenschaften Engineering Management Fuzzy logic Risk management Probabilistische Sicherheitsanalyse (DE-588)4322949-9 gnd Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
subject_GND | (DE-588)4322949-9 (DE-588)4201987-4 (DE-588)4126904-4 (DE-588)4017233-8 |
title | Fuzzy randomness uncertainty in civil engineering and computational mechanics |
title_auth | Fuzzy randomness uncertainty in civil engineering and computational mechanics |
title_exact_search | Fuzzy randomness uncertainty in civil engineering and computational mechanics |
title_full | Fuzzy randomness uncertainty in civil engineering and computational mechanics Bernd Möller ; Michael Beer |
title_fullStr | Fuzzy randomness uncertainty in civil engineering and computational mechanics Bernd Möller ; Michael Beer |
title_full_unstemmed | Fuzzy randomness uncertainty in civil engineering and computational mechanics Bernd Möller ; Michael Beer |
title_short | Fuzzy randomness |
title_sort | fuzzy randomness uncertainty in civil engineering and computational mechanics |
title_sub | uncertainty in civil engineering and computational mechanics |
topic | Ingenieurwissenschaften Engineering Management Fuzzy logic Risk management Probabilistische Sicherheitsanalyse (DE-588)4322949-9 gnd Fuzzy-Zufallsvariable (DE-588)4201987-4 gnd Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
topic_facet | Ingenieurwissenschaften Engineering Management Fuzzy logic Risk management Probabilistische Sicherheitsanalyse Fuzzy-Zufallsvariable Strukturmechanik Finite-Elemente-Methode |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012781094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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