Numerical structural analysis: methods, models and pitfalls
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2003
|
| Schriftenreihe: | Foundations of engineering mechanics
Engineering online library |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIX, 501 S. Ill., graph. Darst. : 24 cm |
| ISBN: | 3540006281 |
Internformat
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| 245 | 1 | 0 | |a Numerical structural analysis |b methods, models and pitfalls |c Anatoly V. Perelmuter ; Vladimir I. Slivker |
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Datensatz im Suchindex
| _version_ | 1804129891750248448 |
|---|---|
| adam_text | ANATOLY V. PERELMUTER, VLADIMIR I. SLIVKER NUMERICAL STRUCTURAL ANALYSIS
METHODS, MODELS AND PITFALLS WITH 242 FIGURES AND 38 TABLES SPRINGER
CONTENTS PREFACE IX PREFACE TO THE ENGLISH EDITION X PREFACE TO THE
SECOND EDITION XII PREFACE TO THE FIRST EDITION XV REFERENCES XIX 1
OBJECT OF ANALYSIS AND PROBLEM OF MODELLING 1 .1 MULTIDIMENSIONALITY AND
MULTIFUNCTONALITY 1 .2 PRINCIPAL FACTORS TAKEN INTO ACCOUNT DURING
CREATION OF DESIGN MODELS 3 .3 INCOMPLETE DETERMINACY OF AN OBJECT S
KNOWLEDGE 6 .4 EXPERIMENT AND PRACTICAL EXPERIENCE 7 .5 GENERAL ISSUES
OF MODELLING 10 .6 MAJORANT AND MINORANT MODELS 12 .7 POSTERIOR ANALYSIS
OF A DESIGN MODEL 13 REFERENCES 15 2 BUILDING A DESIGN MODEL 17 2.1
DETERMINATIVE PARAMETERS AND THE NUMBER OF DEGREES OF FREEDOM 18 2.2
MODEL OF LOADING AS A PART OF THE DESIGN MODEL 22 2.3 VALIDATION AND
MEANS OF DESCRIPTION OF DESIGN MODELS 25 2.4 SOME TRICKS 34 2.5
MONO-CONSTRAINTS AND POLY-CONSTRAINTS IN DESIGN MODELS 42 2.6 PERFECTLY
RIGID BODIES AS FINITE ELEMENT TYPES 46 2.6.1 ONE-DIMENSIONAL PERFECTLY
RIGID BODIES 47 2.6.2 TWO-DIMENSIONAL PERFECTLY RIGID BODIES 47 2.6.3
THREE-DIMENSIONAL PERFECTLY RIGID BODIES 48 2.7 ON A NONLINEAR ANALYSIS
51 2.8 USING SEVERAL MODELS AT THE SAME TIME 54 2.9 COMPARISON BETWEEN
CALCULATED AND EXPERIMENTAL DATA 59 REFERENCES 62 IV CONTENTS 3 BASIC
RELATIONSHIPS FOR DISCRETE SYSTEMS 65 3.1 GOVERNING EQUATIONS 65 3.1.1
SLOPE DEFLECTION METHOD 67 3.1.2 FORCEMETHOD 71 3.1.2 DUALITY OF THE
SLOPE DEFLECTION METHOD AND FORCE METHOD PROJECTORS 73 3.2 STATIC AND
KINEMATICAL ANALYSIS 77 3.2.1 NOTE ON DISLOCATIONS 81 3.3
POLY-CONSTRAINTS REVISITED. VARIATIONAL FORMULATION 82 3.4 NULL-ELEMENTS
91 3.5 GEOMETRICAL NONLINEARITY. STABILITY 98 3.5.1 FOUR FLOORS OF
GEOMETRICALLY NONLINEAR PROBLEM STATEMENTS 98 3.5.2 GEOMETRICAL
NONLINEARITY IN TRUSS-TYPE BARS 99 3.5.3 GEOMETRICAL NONLINEAR EQUATIONS
IN VARIATIONS 105 3.6 STRUCTURAL NONLINEARITY - SYSTEMS WITH UNILATERAL
CONSTRAINTS .... 109 3.7 CABLE ELEMENTS IN DESIGN MODELS 114 3.7.1
COORDINATE AXES 118 3.7.2 SPECIFICATION OF PRE-STRESS 119 3.7.3 ON
LINEARIZED MODELS OF CABLE STRUCTURES 120 3.7.4 LINEARIZATION OF CABLE
ELEMENTS IN A DESIGN MODEL 122 3.7.5 LINEARIZATION OF COMPRESSED AND
BENT ELEMENTS OF ADESIGN MODEL 126 3.8 DYNAMICAL ANALYSIS 128 3.9
CONTINUAL SYSTEMS IN FINITE-DIMENSIONAL REPRESENTATION 133 3.9.1 A NOTE
ON TERMONOLOGY 135 3.9.2 A NOTE ON METHOD OF VISUALIZATION DESIGN MODELS
135 REFERENCES 136 4 FINITE ELEMENT MODELS 139 4.1 NOTES ON A STRUCTURAL
DISCRETIZATION 139 4.2 BASIC CONCEPTS OF THE FINITE ELEMENT ANALYSIS 140
4.3 MODELLING OF BAR SYSTEMS 144 4.4 FINITE ELEMENT GRID MODELLING 151
4.5 ON PRACTICAL CONVERGENCE 153 4.6 CONVERGENCE VALIDATION FOR SOME
MODELS 154 4.7 RICHARDSON EXTRAPOLATION 158 4.8 CIRCUMVENTING
SINGULARITIES 161 4.9 FINITE ELEMENT MESH GENERATION 165 4.9 USING
HYBRID FINITE ELEMENTS 169 REFERENCES 173 CONTENTS V MISTAKES AND
PITFALLS, SPECIAL TECHNIQUES TO BUILD FINITE ELEMENT MODELS 177 5.1
FRAGMENTATION 177 5.2 BUILDING CONTINUOUS STRESS FIELDS WITH FEM 184 5.3
MISTAKES AND TRAPS IN COUPLING ELEMENTS OF DIFFERENT DIMENSIONALITY 193
5.3.1 BARS + PLATES 194 5.3.2 BARS + PLANE STRESS 200 5.3.3 BARS +
MASSIVE ELEMENTS 211 5.3.4 PLANE STRESS + FLEXURAL PLATES (COULING SHELL
ELEMENTS) .. 211 5.4 A PARADOX OF COUPLING BERNOULLI AND TIMOSHENKO BARS
IN THE SAME MODEL 216 5.5 APPROXIMATING GEOMETRIC SHAPES AND FIXATIONS
224 5.6 COMPUTATIONAL ERROR AND WAYS TO DISPOSE OF IT 227 5.6.1 NOTES ON
THE SUPER-ELEMENT APPLICATION 238 5.6.2 NOTES ON A SOFTWARE TESTING 239
5.7 STEP-BY-STEP PROCEDURE 241 REFERENCES 246 6 ESTIMATING AND
INTERPRETING RESULTS 249 6.1 AN ESTIMATION ISSUE 249 6.2 WHAT ANALYSIS
RESULTS ARE NEEDED 250 6.3 GENERAL VALIDATION 256 6.4 CHARACTERISTIC
DISPLACEMENT 259 6.5 CALCULATING ENERGY OF DEFORMATION 262 6.6 FURTHER
PROCESSING OF RESULTS .... 264 REFERENCES 266 7 UNCERTAINTY OF
PARAMETERS 267 7.1 KEY SOURCES OF UNCERTAINTY 267 7.2 METHODS OF
SENSITIVITY ANALYSIS 274 7.3 SENSITIVITY OF NATURAL OSCILLATIONS 277 7.4
ESTIMATING EXTRA STRESSES CAUSED BY VARIED STIFFNESS 282 7.5 THEORETICAL
ESTIMATES IN THE CASE OF UNCERTAIN STIFFNESS PROPERTIES 285 7.6 MAKING
USE OF EXPERIMENT PLANNING METHODS 287 7.7 LIMIT EQUILIBRIUM UNDER AN
UNCERTAIN LOAD 294 REFERENCES 296 VI CONTENTS 8 A REVIEW OF SOME PROBLEM
CLASSES 299 8.1 HINGED BAR SYSTEM 299 8.2 ERECTION 302 8.2.1 GENETIC
NONLINEARITY 307 8.3 PRE-STRESSING 315 8.4 STRUCTURES WITH HYDRAULIC
JACKS 318 8.4.1 LIQUID FINITE ELEMENT 323 8.5 A STRUCTURE-FOUNDATION
MODEL 324 8.5.1 ALLOWING FOR A DISTRIBUTIVE ABILITY OF SOIL 324 8.5.2 A
TWO-PARAMETRIC BED MODEL 326 8.6 ASSIGNING PROPERTIES OF A
TWO-PARAMETRIC ELASTIC BED 331 8.6.1 A CCC BED MODEL 334 8.7 EMPLOYING
FINITE-ELEMENT FOUNDATION MODELS 342 8.8 A BI-MEMBER MODEL OF AN
OPEN-SECTION THIN-WALLED BAR 345 8.8.1 CONSTRUTION OF A BI-MEMBER MODEL
345 8.8.2 A BI-MEMBER MODEL OF A THIN-WALLED BAR REINFORCED BY LATERAL
SLATS 351 8.8.3 A THIN-WALLED BAR REINFORCED BY A LATERAL DIAPHRAGM ..
357 8.8.4 A MATHEMATICAL INTERPRETATION OF THE BI-MEMBER MODEL AND ITS
DISCRETE SCHEME 358 8.9 DESIGN LOAD COMBINATIONS 361 REFERENCES 367 9
BUCKLING PROBLEMS AND RELATED ISSUES 369 9.1 VALIDATING AN EQUILIBRIUM
STABILITY 369 9.2 CLASSICAL PROBLEMS OF EQUILIBRIUM STABILITY 375 9.3
FREE LENGTHS OF COMPRESSED BARS 379 9.4 ANALYSIS OF A ROLE PLAYED BY
PARTICULAR SUBSYSTEMS 383 9.5 ON THE INFLUENCE OF ADDITIONAL CONSTRAINTS
UPON THE STABILITY OF A SYSTEM 388 9.5.1 ON AN ERROR OF A MYSTERIOUS
NATURE THAT HAPPENS IN SOFTWARE WHEN ANALYZING MECHANICAL SYSTEMS FOR
BUCKLING 389 9.6 ON A PARADOX ENCOUNTERED IN A BAR BUCKLING PROBLEM 404
9.7 ALLOWING FOR IMPERFECTIONS IN A REAL CONSTRUCTION 410 9.8 NOTES FOR
ALLOWING FOR P-A EFFECTS 415 REFERENCES 416 10 PROBLEMS OF DYNAMICS 419
10.1 DESIGN MODELS FOR DYNAMICAL ANALYSIS 419 10.1.1 DYNAMICAL DEGREES
OF FREEDOM 423 CONTENTS VII 10.1.2 DYNAMIC CONDENSATION - A GUYAN S
PROCEDURE 424 10.2 INTEGRATING MOTION EQUATIONS 427 10.3 FORCED
OSCILLATIONS UNDER A HARMONIC ACTION 432 10.3.1 A MODEL BY GORDEYEVA 439
10.4 DECREMENT OF OSCILLATIONS 443 10.4.1 FINITE ELEMENTS OF AN ELASTIC
MATERIAL 446 10.4.2 A DRY FRICTION ELEMENT 447 10.4.3 A VISCOUS FRICTION
ELEMENT 447 10.4.4 A NONLINEAR VISCOUS FRICTION ELEMENT 448 10.4.5
DAMPING BY RADIATION 448 10.5 THREE RESONANCE CURVES 450 10.6 ANALYSIS
OF STRUCTURES UNDER SEISMIC ACTIONS 452 10.6.1 EARTHQUAKE SPECTRA 452
10.6.2 SEISMIC RESPONSE 453 10.6.3 ANALYSIS WITH ACCELEROGRAMS 459
10.6.4 STORY RESPONSE SPECTRA 459 10.7 ACTION OF PULSE AND IMPACT LOADS
461 10.8 OSCILLATIONS UNDER AN ACTION OF WIND FLOW PULSATIONS 465 10.8.1
MODELLING OF WIND ACTIONS 465 10.8.2 A DYNAMIC ACTION OF THE WIND LOAD S
PULSATION COMPONENT 466 10.8.3 REPRESENTATION OF A PULSATION COMPONENT
OF A WIND LOAD 468 10.8.4 SPECTRUM OF WIND VELOCITY PULSATIONS 470
10.8.5 A DYNAMICAL COMPONENT OF A DESIGN FACTOR 471 10.8.6 ISSUES OF
NUMERICAL IMPLEMENTATION 472 REFERENCES 474 11 A WORD INSTEAD OF A
CONCLUSION 477 11.1 OUR RECOMMENDATIONS TO POTENTIAL USERS 471
REFERENCES 483 APPENDIX 485 A. 1 JORDAN EXCLUSIONS AND THEIR ROLE IN
STRUCTURAL MECHANICS 486 A.2 GENERAL DESCRIPTION 486 A.3 JORDAN
EXCLUSIONS WITH THE STIFFNESS MATRIX OF A STRUCTURE 488 A.4 STIFFNESS
MATRIX OF A FINITE ELEMENT NON-RIGIDLY ATTACHED TO ITS NODES 493 A.5 A
DOUBLE JORDAN EXCLUSION 496 REFERENCES 498 INDEX 499
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:12:21Z |
| institution | BVB |
| isbn | 3540006281 |
| language | English |
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| spelling | Perelʹmuter, Anatolij V. Verfasser (DE-588)124666396 aut Numerical structural analysis methods, models and pitfalls Anatoly V. Perelmuter ; Vladimir I. Slivker Berlin [u.a.] Springer 2003 XIX, 501 S. Ill., graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Foundations of engineering mechanics Engineering online library Literaturangaben Mathematisches Modell Structural analysis (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf CAD (DE-588)4069794-0 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Bautechnik (DE-588)4004955-3 gnd rswk-swf Bautechnik (DE-588)4004955-3 s Strukturmechanik (DE-588)4126904-4 s Numerisches Modell (DE-588)4338132-7 s CAD (DE-588)4069794-0 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Slivker, Vladimir I. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250127&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Perelʹmuter, Anatolij V. Slivker, Vladimir I. Numerical structural analysis methods, models and pitfalls Mathematisches Modell Structural analysis (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd CAD (DE-588)4069794-0 gnd Numerisches Modell (DE-588)4338132-7 gnd Strukturmechanik (DE-588)4126904-4 gnd Bautechnik (DE-588)4004955-3 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4069794-0 (DE-588)4338132-7 (DE-588)4126904-4 (DE-588)4004955-3 |
| title | Numerical structural analysis methods, models and pitfalls |
| title_auth | Numerical structural analysis methods, models and pitfalls |
| title_exact_search | Numerical structural analysis methods, models and pitfalls |
| title_full | Numerical structural analysis methods, models and pitfalls Anatoly V. Perelmuter ; Vladimir I. Slivker |
| title_fullStr | Numerical structural analysis methods, models and pitfalls Anatoly V. Perelmuter ; Vladimir I. Slivker |
| title_full_unstemmed | Numerical structural analysis methods, models and pitfalls Anatoly V. Perelmuter ; Vladimir I. Slivker |
| title_short | Numerical structural analysis |
| title_sort | numerical structural analysis methods models and pitfalls |
| title_sub | methods, models and pitfalls |
| topic | Mathematisches Modell Structural analysis (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd CAD (DE-588)4069794-0 gnd Numerisches Modell (DE-588)4338132-7 gnd Strukturmechanik (DE-588)4126904-4 gnd Bautechnik (DE-588)4004955-3 gnd |
| topic_facet | Mathematisches Modell Structural analysis (Engineering) Mathematical models Finite-Elemente-Methode CAD Numerisches Modell Strukturmechanik Bautechnik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250127&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT perelʹmuteranatolijv numericalstructuralanalysismethodsmodelsandpitfalls AT slivkervladimiri numericalstructuralanalysismethodsmodelsandpitfalls |