What every engineer should know about computational techniques of finite element analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla. [u.a.]
CRC Press
2009
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| Ausgabe: | 2. ed. |
| Schriftenreihe: | What every engineer should know about
38 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 331 S. Ill., graph. Darst. |
| ISBN: | 9781439802946 |
Internformat
MARC
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| 245 | 1 | 0 | |a What every engineer should know about computational techniques of finite element analysis |c Louis Komzsik |
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| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 2009 | |
| 300 | |a XVII, 331 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | WHAT EVERY ENGINEER SHOULD KNOW ABOUT COMPUTATIONAL TECHNIQUES OF FINITE
ELEMENT ANALYSIS SECOND EDITION LOUIS KOMZSIK LTFI) CRC PRESS VV J
TAYLOR &. FRANCIS CROUP BOCA RATON LONDON NEW YORK CRC PRESS IS AN
IMPRINT OF THE TAYLOR & FRANCIS GROUP, AN INFORMA BUSINESS CONTENTS
PREFACE TO THE SECOND EDITION XIII PREFACE TO THE FIRST EDITION XV
ACKNOWLEDGMENTS XVII I NUMERICAL MODEL GENERATION 1 1 FINITE ELEMENT
ANALYSIS 3 1.1 SOLUTION OF BOUNDARY VALUE PROBLEMS 3 1.2 FINITE ELEMENT
SHAPE FUNCTIONS 6 1.3 FINITE ELEMENT BASIS FUNCTIONS 9 1.4 ASSEMBLY OF
FINITE ELEMENT MATRICES 12 1.5 ELEMENT MATRIX GENERATION 15 1.6 LOCAL TO
GLOBAL COORDINATE TRANSFORMATION 19 1.7 A LINEAR QUADRILATERAL FINITE
ELEMENT 20 1.8 QUADRATIC FINITE ELEMENTS 26 REFERENCES 29 2 FINITE
ELEMENT MODEL GENERATION 31 2.1 BEZIER SPLINE APPROXIMATION 31 2.2
BEZIER SURFACES 37 2.3 B-SPLINE TECHNOLOGY 40 2.4 COMPUTATIONAL EXAMPLE
43 2.5 NURBS OBJECTS 48 2.6 GEOMETRIC MODEL DISCRETIZATION 50 2.7
DELAUNAY MESH GENERATION 51 2.8 MODEL GENERATION CASE STUDY 54
REFERENCES 57 3 MODELING OF PHYSICAL PHENOMENA 59 3.1 LAGRANGE S
EQUATIONS OF MOTION 59 3.2 CONTINUUM MECHANICAL SYSTEMS 61 3.3 FINITE
ELEMENT ANALYSIS OF ELASTIC CONTINUUM 63 3.4 A TETRAHEDRAL FINITE
ELEMENT 65 3.5 EQUATION OF MOTION OF MECHANICAL SYSTEM 69 3.6
TRANSFORMATION TO FREQUENCY DOMAIN 71 VII VLLL REFERENCES 74 4
CONSTRAINTS AND BOUNDARY CONDITIONS 75 4.1 THE CONCEPT OF MULTI-POINT
CONSTRAINTS 76 4.2 THE ELIMINATION OF MULTI-POINT CONSTRAINTS 79 4.3 AN
AXIAL BAR ELEMENT 82 4.4 THE CONCEPT OF SINGLE-POINT CONSTRAINTS 85 4.5
THE ELIMINATION OF SINGLE-POINT CONSTRAINTS 86 4.6 RIGID BODY MOTION
SUPPORT 88 4.7 CONSTRAINT AUGMENTATION APPROACH 90 REFERENCES 92 5
SINGULARITY DETECTION OF FINITE ELEMENT MODELS 93 5.1 LOCAL
SINGULARITIES 93 5.2 GLOBAL SINGULARITIES 97 5.3 MASSLESS DEGREES OF
FREEDOM 99 5.4 MASSLESS MECHANISMS 100 5.5 INDUSTRIAL CASE STUDIES 102
REFERENCES 104 6 COUPLING PHYSICAL PHENOMENA 105 6.1 FLUID-STRUCTURE
INTERACTION 105 6.2 A HEXAHEDRAL FINITE ELEMENT 106 6.3 FLUID FINITE
ELEMENTS 109 6.4 COUPLING STRUCTURE WITH COMPRESSIBLE FLUID ILL 6.5
COUPLING STRUCTURE WITH INCOMPRESSIBLE FLUID 112 6.6 STRUCTURAL ACOUSTIC
CASE STUDY 113 REFERENCES 115 II COMPUTATIONAL REDUCTION TECHNIQUES 117
7 MATRIX FACTORIZATION AND LINEAR SYSTEMS 119 7.1 FINITE ELEMENT MATRIX
REORDERING 119 7.2 SPARSE MATRIX FACTORIZATION 122 7.3 MULTI-FRONTAL
FACTORIZATION 124 7.4 LINEAR SYSTEM SOLUTION 126 7.5 DISTRIBUTED
FACTORIZATION AND SOLUTION 127 7.6 FACTORIZATION AND SOLUTION CASE
STUDIES 130 7.7 ITERATIVE SOLUTION OF LINEAR SYSTEMS 134 7.8
PRECONDITIONED ITERATIVE SOLUTION TECHNIQUE 137 REFERENCES 139 IX 8
STATIC CONDENSATION 141 8.1 SINGLE-LEVEL, SINGLE-COMPONENT CONDENSATION
141 8.2 COMPUTATIONAL EXAMPLE 144 8.3 SINGLE-LEVEL, MULTIPLE-COMPONENT
CONDENSATION 147 8.4 MULTIPLE-LEVEL STATIC CONDENSATION 152 8.5 STATIC
CONDENSATION CASE STUDY 155 REFERENCES 158 9 REAL SPECTRAL COMPUTATIONS
159 9.1 SPECTRAL TRANSFORMATION 159 9.2 LANCZOS REDUCTION 161 9.3
GENERALIZED EIGENVALUE PROBLEM 164 9.4 EIGENSOLUTION COMPUTATION 166 9.5
DISTRIBUTED EIGENVALUE COMPUTATION 168 9.6 DENSE EIGENVALUE ANALYSIS 172
9.7 HOUSEHOLDER REDUCTION TECHNIQUE 175 9.8 NORMAL MODES ANALYSIS CASE
STUDIES 177 REFERENCES 181 10 COMPLEX SPECTRAL COMPUTATIONS 183 10.1
COMPLEX SPECTRAL TRANSFORMATION 183 10.2 BIORTHOGONAL LANCZOS REDUCTION
184 10.3 IMPLICIT OPERATOR MULTIPLICATION 186 10.4 RECOVERY OF PHYSICAL
SOLUTION 188 10.5 SOLUTION EVALUATION 190 10.6 REDUCTION TO HESSENBERG
FORM 191 10.7 ROTATING COMPONENT APPLICATION 192 10.8 COMPLEX MODAL
ANALYSIS CASE STUDIES 196 REFERENCES 199 11 DYNAMIC REDUCTION 201 11.1
SINGLE-LEVEL, SINGLE-COMPONENT DYNAMIC REDUCTION 201 11.2 ACCURACY OF
DYNAMIC REDUCTION 203 11.3 COMPUTATIONAL EXAMPLE 206 11.4 SINGLE-LEVEL,
MULTIPLE-COMPONENT DYNAMIC REDUCTION 208 11.5 MULTIPLE-LEVEL DYNAMIC
REDUCTION 210 11.6 MULTI-BODY ANALYSIS APPLICATION 212 REFERENCES 215 12
COMPONENT MODE SYNTHESIS 217 12.1 SINGLE-LEVEL, SINGLE-COMPONENT MODAL
SYNTHESIS 217 12.2 MIXED BOUNDARY COMPONENT MODE REDUCTION 219 12.3
COMPUTATIONAL EXAMPLE 222 12.4 SINGLE-LEVEL, MULTIPLE-COMPONENT MODAL
SYNTHESIS 225 12.5 MULTIPLE-LEVEL MODAL SYNTHESIS 228 X 12.6 COMPONENT
MODE SYNTHESIS CASE STUDY 230 REFERENCES 232 III ENGINEERING SOLUTION
COMPUTATIONS 235 13 MODAL SOLUTION TECHNIQUE 237 13.1 MODAL SOLUTION 237
13.2 TRUNCATION ERROR IN MODAL SOLUTION 239 13.3 THE METHOD OF RESIDUAL
FLEXIBILITY 241 13.4 THE METHOD OF MODE ACCELERATION 245 13.5 COUPLED
MODAL SOLUTION APPLICATION 246 13.6 MODAL CONTRIBUTIONS AND ENERGIES 247
REFERENCES 250 14 TRANSIENT RESPONSE ANALYSIS 251 14.1 THE CENTRAL
DIFFERENCE METHOD 251 14.2 THE NEWMARK METHOD 252 14.3 STARTING
CONDITIONS AND TIME STEP CHANGES 254 14.4 STABILITY OF TIME INTEGRATION
TECHNIQUES 255 14.5 TRANSIENT RESPONSE CASE STUDY 258 14.6 STATE-SPACE
FORMULATION 259 REFERENCES 262 15 FREQUENCY DOMAIN ANALYSIS 263 15.1
DIRECT AND MODAL FREQUENCY RESPONSE ANALYSIS 263 15.2 REDUCED-ORDER
FREQUENCY RESPONSE ANALYSIS 264 15.3 ACCURACY OF REDUCED-ORDER SOLUTION
267 15.4 FREQUENCY RESPONSE CASE STUDY 268 15.5 ENFORCED MOTION
APPLICATION 269 REFERENCES 271 16 NONLINEAR ANALYSIS 273 16.1
INTRODUCTION TO NONLINEAR ANALYSIS 273 16.2 GEOMETRIC NONLINEARITY 275
16.3 NEWTON-RAPHSON METHODS 278 16.4 QUASI-NEWTON ITERATION TECHNIQUES
282 16.5 CONVERGENCE CRITERIA 284 16.6 COMPUTATIONAL EXAMPLE 285 16.7
NONLINEAR DYNAMICS 287 REFERENCES 288 17 SENSITIVITY AND OPTIMIZATION
289 17.1 DESIGN SENSITIVITY 289 17.2 DESIGN OPTIMIZATION 290 17.3 PLANAR
BENDING OF THE BAR 294 CONTENTS XI 17.4 COMPUTATIONAL EXAMPLE 297 17.5
EIGENFUNCTION SENSITIVITIES 302 17.6 VARIATIONAL ANALYSIS 304 REFERENCES
308 18 ENGINEERING RESULT COMPUTATIONS 309 18.1 DISPLACEMENT RECOVERY
309 18.2 STRESS CALCULATION 311 18.3 NODAL DATA INTERPOLATION 312 18.4
LEVEL CURVE COMPUTATION 314 18.5 ENGINEERING ANALYSIS CASE STUDY 316
REFERENCES 319 ANNOTATION 321 LIST OF FIGURES 323 LIST OF TABLES 325
INDEX 327 CLOSING REMARKS 331
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| isbn | 9781439802946 |
| language | English |
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| series | What every engineer should know about |
| series2 | What every engineer should know about |
| spelling | Komzsik, Louis Verfasser aut What every engineer should know about computational techniques of finite element analysis Louis Komzsik 2. ed. Boca Raton, Fla. [u.a.] CRC Press 2009 XVII, 331 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier What every engineer should know about 38 Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s DE-604 What every engineer should know about 38 (DE-604)BV004410434 38 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017610719&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Komzsik, Louis What every engineer should know about computational techniques of finite element analysis What every engineer should know about Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4017233-8 |
| title | What every engineer should know about computational techniques of finite element analysis |
| title_auth | What every engineer should know about computational techniques of finite element analysis |
| title_exact_search | What every engineer should know about computational techniques of finite element analysis |
| title_full | What every engineer should know about computational techniques of finite element analysis Louis Komzsik |
| title_fullStr | What every engineer should know about computational techniques of finite element analysis Louis Komzsik |
| title_full_unstemmed | What every engineer should know about computational techniques of finite element analysis Louis Komzsik |
| title_short | What every engineer should know about computational techniques of finite element analysis |
| title_sort | what every engineer should know about computational techniques of finite element analysis |
| topic | Finite element method Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Finite element method Finite-Elemente-Methode |
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