Inverse and crack identification problems in engineering mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
2001
|
| Series: | Applied optimization
46 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 223 S. Ill., graph. Darst. |
| ISBN: | 0792366905 |
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| 245 | 1 | 0 | |a Inverse and crack identification problems in engineering mechanics |c by Georgios E. Stavroulakis |
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Record in the Search Index
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| adam_text | INVERSE AND CRACK IDENTIFICATION PROBLEMS IN ENGINEERING MECHANICS BY
GEORGIOS E. STAVROULAKIS INSTITUTE OF APPLIED MATHEMATICS, DEPARTMENT OF
CIVIL ENGINEERING, TECHNICAL UNIVERSITY CAROLO WILHELMINA, BRAUNSCHWEIG,
GERMANY KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS
PREFACE XI PART I INTRODUCTION. PROBLEM DESCRIPTION 1. DIRECT AND
INVERSE PROBLEMS 3 1.1 INTRODUCTION 3 1.2 DIRECT NONSMOOTH MECHANICS
PROBLEMS 3 1.3 INVERSE AND IDENTIFICATION PROBLEMS *. 4 1.4 RECENT
RESULTS AND FUTURE WORK 5 REFERENCES PART II THEORETICAL AND
COMPUTATIONAL TOOLS 2. COMPUTATIONAL MECHANICS 11 2.1 ELASTOSTATICS 11
2.1.1 SMALL DISPLACEMENT SMOOTH (CLASSICAL) ELASTOSTATICS. 12 2.1.2
UNILATERAL CONTACT PROBLEMS. 15 2.1.2.1 THE UNILATERAL CONTACT
CONDITIONS 19 2.1.3 FRICTION PROBLEMS WITH CONVEX ENERGY POTENTIAL 21
2.1.3.1 COMBINED FRICTIONAL CONTACT PROBLEM 23 2.1.4 BEM FORMULATION AND
IMPLEMENTATION 24 2.1.4.1 BEM FORMULATION OF UNILATERAL PROBLEMS 24
2.1.4.2 LCP-BEM STATIC UNILATERAL-FRICTIONAL CONTACT PROBLEMS 26 2.1.4.3
MULTI-REGION BEM FORMULATION FOR INEQUALITY PROBLEMS 27 2.1.4.4 UNIFIED
LCP FORMULATION OF COMBINED UNILATERAL FRICTIONAL CONTACT PROBLEMS 29
2.2 SOLUTION ALGORITHMS 32 2.2.1 SMOOTH AND NONSMOOTH OPTIMIZATION
APPROACH 32 2.2.2 QPP AND LCP SOLUTION SCHEMES 34 2.2.3 NONLINEAR
EQUATIONS FOR COMPLEMENTERITY PROBLEMS 34 2.2.3.1 NONLINEAR EQUATION
REFORMULATION 36 VII VIII INVERSE AND CRACK IDENTIFICATION 2.2.3.2
EXAMPLES OF NCP FUNCTIONS 36 2.2.3.3 MERIT FUNCTIONS 37 2.2.3.4 SOLUTION
TECHNIQUE 37 2.2.3.5 FORMULATION OF NONLINEAR EQUATIONS WITHFEM AND BEM
38 2.2.3.6 NCP FUNCTIONS PROPOSED IN THE ENGINEERING LITERATURE 40 2.3
ELASTODYNAMICS 41 2.3.1 STEADY STATE, HARMONIC PROBLEMS 41 2.3.2
TRANSIENT ELASTODYNAMICS 43 2.3.2.1 LCP-BEM DYNAMIC
UNILATERAL-FRICTIONAL CONTACT PROBLEMS 45 REFERENCES 3. COMPUTATIONAL
AND STRUCTURAL OPTIMIZATION 55 3.1 OPTIMIZATION AND OPTIMALITY
CONDITIONS 55 3.1.1 SMOOTH, INEQUALITY CONSTRAINED, CONVEX PROBLEMS 58
3.1.1.1 LAGRANGIANS, SADDLE POINTS, DUALITY 59 3.1.1.2 CONCISE FORM OF
OPTIMALITY CONDITIONS 61 3.1.2 CONVEX, NONSMOOTH OPTIMIZATION 62 3.1.2.1
UNCONSTRAINED 62 3.1.2.2 CONSTRAINED 62 3.1.3 CONVEX OPTIMIZATION
ALGORITHMS 63 3.1.3.1 SMOOTH UNCONSTRAINED-PROBLEMS 63 3.1.3.2
CONSTRAINED PROBLEMS 64 3.1.3.3 NONSMOOTH PROBLEMS 67 3.2 OPTIMIZATION
UNDER EQUILIBRIUM CONSTRAINTS (MPEC) 68 3.2.1 FORMULATION 69 3.2.2
EXAMPLES OF STRUCTURAL OPTIMIZATION 71 3.2.2.1 OPTIMAL DESIGN FOR
STRUCTURES 71 3.2.2.2 OPTIMAL DESIGN FOR UNILATERAL STRUCTURES 71
3.2.2.3 OPTIMAL PRESTRESS OF UNILATERAL STRUCTURES 72 3.2.2.4 GEOMETRY
DESIGN, INVERSE OR IDENTIFICATION PROBLEM 73 3.2.2.5 NONSMOOTHNESS AND
NONCONVEXITY IN MPEC 74 3.2.3 SOLUTION METHODS 76 3.2.3.1 ERROR
MINIMIZATION WITH FEGULARIZATION 76 3.2.3.2 ERROR MINIMIZATION -
REGULARIZATION - NONLINEAR EQUATION APPROACH 77 3.2.3.3 ERROR
MINIMIZATION - PENALTY FORMULATION 77 3.2.3.4 ERROR MINIMIZATION -
REGULARIZATION - NONLINEAR EQUATION APPROACH - PENALTY FORMULATION 78
3.2.3.5 FURTHER NUMERICAL APPROACHES 78 REFERENCES 4. SELECTED SOFT
COMPUTING TOOLS 85 4.1 SOFT-COMPUTING VERSUS CLASSICAL COMPUTING 85 4.2
NEURAL NETWORKS 86 4.2.1 BACKPROPAGATION NEURAL NETWORK MODEL 86
CONTENTS IX 4.2.2 NEURAL NETWORK MAPPINGS, MOTIVATION AND APPLICATION ON
INVERSE PROBLEMS 89 4.3 GENETIC ALGORITHMS 92 4.4 FUZZY AND NEURO-FUZZY
INFERENCE 95 4.5 CLASSICAL AND EXTENDED KALMAN FILTER AND IDENTIFICATION
96 4.5.1 REVIEW 96 4.5.2 DESCRIPTION 97 REFERENCES PART III APPLICATIONS
TO INVERSE PROBLEMS 5. STATIC PROBLEMS 107 5.1 INTRODUCTION AND
LITERATURE SURVEY 107 5.2 OUTPUT ERROR FORMULATION OF THE INVERSE
PROBLEM 110 5.2.1 LOCAL OPTIMIZATION APPROACH 112 5.2.2 NEURAL NETWORK
SOLUTION METHOD 112 5.3 NUMERICAL EXAMPLES OF DIRECT PROBLEMS 114 5.3.1
STATIC UNILATERAL CRACK ANALYSIS 118 5.4 NUMERICAL EXAMPLES OF INVERSE
PROBLEMS 124 5.4.1 FLAW IDENTIFICATION 124 5.4.2 BILATERAL AND
UNILATERAL CRACK IDENTIFICATION THROUGH ERROR OPTIMIZATION , 133 5.4.3
CLASSICAL AND UNILATERAL NEURAL CRACK IDENTIFICATION 135 5.4.4
FILTER-DRIVEN ITERATIVE CRACK IDENTIFICATION 147 REFERENCES 6.
STEADY-STATE DYNAMICS 157 6.1 INTRODUCTION AND LITERATURE SURVEY 157 6.2
OUTPUT ERROR FORMULATION OF THE INVERSE PROBLEM 159 6.3 NEURAL NETWORK
SOLUTION OF THE INVERSE PROBLEM 160 6.4 NUMERICAL EXAMPLES 161 6:4.1
FLAW IDENTIFICATION 161 6.4.2 CRACK IDENTIFICATION 168 6.4.2.1 DIRECT
PROBLEM . 168 6.4.2.2 INVERSE PROBLEM 171 REFERENCES 7. TRANSIENT
DYNAMICS 187 7.1 INTRODUCTION AND LITERATURE SURVEY 187 7.2 NUMERICAL
EXAMPLES OF DIRECT PROBLEMS 189 7.3 NUMERICAL EXAMPLES OF INVERSE
PROBLEMS 202 7.3.1 CLASSICAL AND UNILATERAL IMPACT-ECHO 202 7.3.1.1
OUTLINE OF THE METHOD 202 7.3.1.2 NUMERICAL COMPARISON 203 7.3.2
IMPACT-ECHO AND NEURAL IDENTIFICATION 204 REFERENCES
|
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| indexdate | 2024-07-09T18:54:22Z |
| institution | BVB |
| isbn | 0792366905 |
| language | English |
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| publisher | Kluwer |
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| series | Applied optimization |
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| spelling | Stavroulakis, Georgios E. Verfasser aut Inverse and crack identification problems in engineering mechanics by Georgios E. Stavroulakis Dordrecht [u.a.] Kluwer 2001 XIII, 223 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied optimization 46 Mécanique appliquée - Modèles mathématiques ram Optimisation mathématique ram Équations différentielles ram Mathematik Inverse problems (Differential equations) Mathematical optimization Mechanics, Applied Mathematics Inverses Problem (DE-588)4125161-1 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Rissbildung (DE-588)4050137-1 gnd rswk-swf Rissbildung (DE-588)4050137-1 s Inverses Problem (DE-588)4125161-1 s Optimierung (DE-588)4043664-0 s DE-604 Applied optimization 46 (DE-604)BV010841718 46 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009522509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stavroulakis, Georgios E. Inverse and crack identification problems in engineering mechanics Applied optimization Mécanique appliquée - Modèles mathématiques ram Optimisation mathématique ram Équations différentielles ram Mathematik Inverse problems (Differential equations) Mathematical optimization Mechanics, Applied Mathematics Inverses Problem (DE-588)4125161-1 gnd Optimierung (DE-588)4043664-0 gnd Rissbildung (DE-588)4050137-1 gnd |
| subject_GND | (DE-588)4125161-1 (DE-588)4043664-0 (DE-588)4050137-1 |
| title | Inverse and crack identification problems in engineering mechanics |
| title_auth | Inverse and crack identification problems in engineering mechanics |
| title_exact_search | Inverse and crack identification problems in engineering mechanics |
| title_full | Inverse and crack identification problems in engineering mechanics by Georgios E. Stavroulakis |
| title_fullStr | Inverse and crack identification problems in engineering mechanics by Georgios E. Stavroulakis |
| title_full_unstemmed | Inverse and crack identification problems in engineering mechanics by Georgios E. Stavroulakis |
| title_short | Inverse and crack identification problems in engineering mechanics |
| title_sort | inverse and crack identification problems in engineering mechanics |
| topic | Mécanique appliquée - Modèles mathématiques ram Optimisation mathématique ram Équations différentielles ram Mathematik Inverse problems (Differential equations) Mathematical optimization Mechanics, Applied Mathematics Inverses Problem (DE-588)4125161-1 gnd Optimierung (DE-588)4043664-0 gnd Rissbildung (DE-588)4050137-1 gnd |
| topic_facet | Mécanique appliquée - Modèles mathématiques Optimisation mathématique Équations différentielles Mathematik Inverse problems (Differential equations) Mathematical optimization Mechanics, Applied Mathematics Inverses Problem Optimierung Rissbildung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009522509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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