Mathematical theory of elastic structures:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer [u.a.]
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Chin. übers. Aus: Series in pure and applied mathematics ; 6. 1981 |
| Beschreibung: | XI, 395 S. graph. Darst. |
| ISBN: | 3540513264 0387513264 |
Internformat
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| 245 | 1 | 0 | |a Mathematical theory of elastic structures |c Feng Kang ; Shi Zhong-Ci |
| 264 | 1 | |a Berlin [u.a.] |b Springer [u.a.] |c 1996 | |
| 300 | |a XI, 395 S. |b graph. Darst. | ||
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| 650 | 7 | |a Structures - Analyse |2 ram | |
| 650 | 7 | |a Élasticité - Analyse |2 ram | |
| 650 | 4 | |a Elastic analysis (Engineering) | |
| 650 | 4 | |a Structural analysis (Engineering) | |
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Datensatz im Suchindex
| _version_ | 1804124879732080640 |
|---|---|
| adam_text | FENG KANG SHI ZHONG-CI MATHEMATICAL THEORY OF ELASTIC STRUCTURES WITH 74
ILLUSTRATIONS SPRINGER LLJ!LIJL SCIENCE PRESS BEIJING CONTENTS CHAPTER 1
SIMPLE MODES OF ELASTIC DEFORMATION 1 §1 SIMPLE STRETCHING AND
COMPRESSION OF SPRINGS 1 1.1 DEFORMATION MODE 1 1.2 VARIATIONAL
PRINCIPLES AND EQUILIBRIUM EQUATION 4 §2 STRETCHING AND COMPRESSION OF
UNIFORM RODS 5 2.1 DEFORMATION MODES 5 2.2 VARIATIONAL PRINCIPLES AND
EQUILIBRIUM EQUATIONS 10 2.3 PEIECEWISE UNIFORM RODS 16 2.4 SYSTEMS OF
RODS IN PLANE TENSION 22 §3 STRETCHING AND COMPRESSION OF NONUNIFORM
RODS 38 3.1 DEFORMATION MODES 38 3.2 VARIATIONAL PRINCIPLES 40 3.3
BOUNDARY VALUE PROBLEMS 48 3.4 EQUILIBRIUM EQUATIONS 54 3.5 STRAINLESS
STATES 57 §4 STRETCHING AND COMPRESSION IN VARIOUS DIRECTIONS 60 4.1
HOOKE S LAW AND STRAIN ENERGY 60 4.2 CHANGES OF VOLUME 62 §5 SHEAR
DEFORMATIONS 64 5.1 SHEARING STRESSES 64 5.2 SHEAR STRAINS 65 5.3
HOOKE S LAW AND THE STRAIN ENERGY OF SHEAR DEFORMATIONS 68 §6 TORSION OF
CIRCULAR RODS 69 6.1 DEFORMATION MODES 69 6.2 VARIATIONAL PRINCIPLES AND
EQUILIBRIUM EQUATIONS 71 6.3 TORSION OF CIRCULAR TUBES 73 VIII CONTENTS
§7 BENDING OF BEAMS 74 7.1 DEFORMATION MODES 74 7.2 VARIATIONAL
PRINCIPLES AND EQUILIBRIUM EQUATIONS 77 7.3 BOUNDARY CONDITIONS AND
INTERFACE CONDITIONS 81 7.4 STRAINLESS STATES 86 CHAPTER 2 STATIC
ELASTICITY : 89 §1 DISPLACEMENTS AND STRAINS 89 1.1 STRAINS 89 1.2
ROTATIONS 91 1.3 STRAINLESS STATES AND INFINITESIMAL RIGID DISPLACEMENTS
... 93 §2 TRANSFORMATION OF PRINCIPAL AXES AND PRINCIPAL STRAINS 95 2.1
ROTATION OF COORDINATE AXES 95 2.2 STRAIN TENSORS IN THE TRANSFORMED AND
ORIGINAL SYSTEMS OF COORDINATES 96 2.3 PRINCIPAL AXES AND PRINCIPAL
STRAINS 97 §3 STRESSES 99 3.1 COMPONENTS OF STRESS 99 3.2 EQUILIBRIUM
EQUATIONS 101 3.3 PRINCIPAL STRESSES 103 §4 HOOKE S LAW AND STRAIN
ENERGY 104 4.1 HOOKE S LAW 104 4.2 STRAIN ENERGY 106 §5 VARIATIONAL
PRINCIPLES AND ELASTIC EQUILIBRIUM 108 5.1 VARIATIONAL PRINCIPLES 108
5.2 EQUILIBRIUM EQUATIONS ILL 5.3 BOUNDARY CONDITIONS AND INTERFACE
CONDITIONS 112 5.4 STRAINLESS STATES 116 5.5 ON VARIATIONAL PRINCIPLES
AND FINITE ELEMENT METHODS 117 §6 GEOMETRICAL COMPATIBILITY 118 6.1
INTEGRABILITY CONDITIONS OF VECTOR FIELDS AND TOPOLOGICAL PROPERTIES OF
DOMAIN 118 6.2 EQUATIONS OF GEOMETRIC COMPATIBILITY AND CONDITIONS FOR
INTERGRABILITY 126 CONTENTS IX §7 THERMAL EFFECTS 132 7.1 HOOKE S LAW
AND STRAIN ENERGY 132 7.2 VARIATIONAL PRINCIPLES AND EQUILIBRIUM
EQUATIONS 135 CHAPTER 3 TYPICAL PROBLEMS OF ELASTIC EQUILIBRIUM 139 §1
PLANE ELASTIC PROBLEMS 139 1.1 PLANE STRAIN PROBLEMS 141 1.2 PLANE
STRESS PROBLEMS 143 1.3 COMPARISONS 144 1.4 ONE DIMENSIONAL PROBLEMS 146
§2 PLANE GEOMETRICAL COMPATIBILITY AND STRESS FUNCTION 148 2.1 PLANE
GEOMETRIC COMPATIBILITY 148 2.2 STRESS FUNCTION 149 2.3 BOUNDARY
CONDITIONS 152 2.4 MULTIPLY-CONNECTED DOMAINS 155 §3 TORSION OF
CYLINDERS 158 3.1 DEFORMATION MODES 158 3.2 TORSION FUNCTION 160 3.3
STRESS FUNCTION 163 3.4 TORSION FORMULAS OF SEVERAL SPECIFIED CROSS
SECTIONS 166 §4 BENDING OF THIN PLATES 169 4.1 DEFORMATION MODES 169 4.2
VARIATIONAL PRINCIPLES 172 4.3 EQUILIBRIUM EQUATIONS 175 4.4 BOUNDARY
CONDITIONS AND INTERFACE CONDITIONS 183 4.5 STRAINLESS STATES 191 4.6
THERMAL EFFECTS 193 §5 BENDING OF SPATIAL BEAMS 197 5.1 DEFORMATION
MODES 197 5.2 VARIATIONAL PRINCIPLES 200 5.3 EQUILIBRIUM EQUATIONS 203
5.4 BOUNDARY CONDITIONS AND INTERFACE CONDITIONS 207 5.5 STRAINLESS
STATES 208 5.6 THERMAL EFFECTS 210 X CONTENTS CHAPTER 4 COMPOSITE
ELASTIC STRUCTURES 212 §1 INTRODUCTION 212 §2 PLANE COMPOSITE STRUCTURES
215 2.1 GEOMETRIC DESCRIPTION 215 2.2 FUNDAMENTAL MEMBERS 220 2.3 THE
RIGID CONNECTION 226 2.4 BOUNDARY CONDITIONS 231 2.5 THE PINNED
CONNECTION 233 2.6 VARIATIONAL PRINCIPLES 234 2.7 EQUILIBRIUM EQUATIONS
236 2.8 STRAINLESS STATES 239 §3 SPACE COMPOSITE STRUCTURES 243 3.1
GEOMETRIC DESCRIPTION 243 3.2 FUNDAMENTAL MEMBERS 249 3.3 THE RIGID
CONNECTION 262 3.4 BOUNDARY CONDITIONS 264 3.5 THE PINNED CONNECTION 268
3.6 VARIATIONAL PRINCIPLES 270 3.7 EQUILIBRIUM EQUATIONS 272 3.8
STRAINLESS STATES 280 3.9 TREATMENT OF THE OFFSET DISTANCE 284 CHAPTER 5
FINITE ELEMENT METHODS 289 §1 INTRODUCTION 289 §2 STRETCHING AND TORSION
OF RODS 290 2.1 VARIATIONAL PROBLEMS 290 2.2 SUBDIVISION AND
INTERPOLATION 292 2.3 ANALYSIS OF ELEMENTS (LINEAR ELEMENTS 294 2.4
ASSEMBLY 297 2.5 TREATMENT OF ESSENTIAL CONDITIONS 300 2.6 APPLICATIONS
OF THE QUADRATIC ELEMENT 301 §3 BENDING OF BEAMS 304 3.1 VARIATIONAL
PROBLEMS 304 3.2 THE CUBIC HERMITE ELEMENT 305 CONTENTS XI §4 POISSON
EQUATION 309 4.1 VARIATIONAL PROBLEMS 309 4.2 SUBDIVISION AND
INTERPOLATION 311 4.3 ANALYSIS OF ELEMENTS (LINEAR ELEMENTS AND
QUADRATIC ELEMENTS 322 4.4 ASSEMBLY AND THE OTHERS 328 §5 PROBLEMS OF
PLANE ELASTICITY : 332 5.1 VARIATIONAL PROBLEMS 332 5.2 BILINEAR
RECTANGULAR ELEMENTS 334 5.3 ESSENTIAL BOUNDARY CONDITIONS 340 §6
BENDING THIN PLATES 343 6.1 VARIATIONAL PRINCIPLES 343 6.2 INCOMPLETE
BICUBIC RECTANGULAR ELEMENTS (ADDINI-CLOUGH-MELOSH ELEMENTS 344 6.3
INCOMPLETE CUBIC TRIANGULAR ELEMENTS (ZIENKIEWICZ ELEMENTS 351 6.4
COMPLETE QUADRATIC TRIANGULAR ELEMENTS (MORLEY ELEMENTS 356 6.5 ON
NONCOMFORMING ELEMENTS 361 §7 COMPOSITE STRUCTURES 362 7.1 PLANE
COMPOSITE STRUCTURES 362 7.2 SPACE COMPOSITE STRUCTURES 370 7.3
NONSTANDARD CONNECTIONS AND THE TREATMENT OF THE OFFSET DISTANCE 381
REFERENCES 386 INDEX 390
|
| any_adam_object | 1 |
| author | Feng, Kang 1920-1993 Shi, Zhongci |
| author_GND | (DE-588)142632791 |
| author_facet | Feng, Kang 1920-1993 Shi, Zhongci |
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| building | Verbundindex |
| bvnumber | BV010445118 |
| callnumber-first | T - Technology |
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| callnumber-sort | TA 3653 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 3000 |
| classification_tum | PHY 202f MAT 354f MTA 050f |
| ctrlnum | (OCoLC)33243459 (DE-599)BVBBV010445118 |
| dewey-full | 624.1/7 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 624 - Civil engineering |
| dewey-raw | 624.1/7 |
| dewey-search | 624.1/7 |
| dewey-sort | 3624.1 17 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Bauingenieurwesen Mathematik |
| format | Book |
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| indexdate | 2024-07-09T17:52:41Z |
| institution | BVB |
| isbn | 3540513264 0387513264 |
| language | English |
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| physical | XI, 395 S. graph. Darst. |
| publishDate | 1996 |
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| spelling | Feng, Kang 1920-1993 Verfasser (DE-588)142632791 aut Mathematical theory of elastic structures Feng Kang ; Shi Zhong-Ci Berlin [u.a.] Springer [u.a.] 1996 XI, 395 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Chin. übers. Aus: Series in pure and applied mathematics ; 6. 1981 Analyse élastique (théorie des constructions) ram Engenharia civil (estruturas) larpcal Mecanica, elasticidade e reologia larpcal Structures - Analyse ram Élasticité - Analyse ram Elastic analysis (Engineering) Structural analysis (Engineering) Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Lineare Elastizitätstheorie (DE-588)4139506-2 gnd rswk-swf Lineare Elastizitätstheorie (DE-588)4139506-2 s DE-604 Elastizitätstheorie (DE-588)4123124-7 s Shi, Zhongci Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006961663&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feng, Kang 1920-1993 Shi, Zhongci Mathematical theory of elastic structures Analyse élastique (théorie des constructions) ram Engenharia civil (estruturas) larpcal Mecanica, elasticidade e reologia larpcal Structures - Analyse ram Élasticité - Analyse ram Elastic analysis (Engineering) Structural analysis (Engineering) Elastizitätstheorie (DE-588)4123124-7 gnd Lineare Elastizitätstheorie (DE-588)4139506-2 gnd |
| subject_GND | (DE-588)4123124-7 (DE-588)4139506-2 |
| title | Mathematical theory of elastic structures |
| title_auth | Mathematical theory of elastic structures |
| title_exact_search | Mathematical theory of elastic structures |
| title_full | Mathematical theory of elastic structures Feng Kang ; Shi Zhong-Ci |
| title_fullStr | Mathematical theory of elastic structures Feng Kang ; Shi Zhong-Ci |
| title_full_unstemmed | Mathematical theory of elastic structures Feng Kang ; Shi Zhong-Ci |
| title_short | Mathematical theory of elastic structures |
| title_sort | mathematical theory of elastic structures |
| topic | Analyse élastique (théorie des constructions) ram Engenharia civil (estruturas) larpcal Mecanica, elasticidade e reologia larpcal Structures - Analyse ram Élasticité - Analyse ram Elastic analysis (Engineering) Structural analysis (Engineering) Elastizitätstheorie (DE-588)4123124-7 gnd Lineare Elastizitätstheorie (DE-588)4139506-2 gnd |
| topic_facet | Analyse élastique (théorie des constructions) Engenharia civil (estruturas) Mecanica, elasticidade e reologia Structures - Analyse Élasticité - Analyse Elastic analysis (Engineering) Structural analysis (Engineering) Elastizitätstheorie Lineare Elastizitätstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006961663&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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