Structural analysis with finite elements: with ... 26 tables
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2007
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. [579] - 591 |
| Physical Description: | XII, 597 S. graph. Darst. |
| ISBN: | 9783540496984 354049698X |
Staff View
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| 245 | 1 | 0 | |a Structural analysis with finite elements |b with ... 26 tables |c Friedel Hartmann ; Casimir Katz |
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Record in the Search Index
| _version_ | 1804137155437527040 |
|---|---|
| adam_text | FRIEDEL HARTMANN CASIMIR KATZ STRUCTURAL ANALYSIS WITH FINITE ELEMENTS
WITH 408 FIGURES AND 26 TABLES 4U SPRINGER CONTENTS WHAT ARE FINITE
ELEMENTS? 1 1.1 INTRODUCTION 1 1.2 KEY POINTS OF THE FE METHOD 1 1.3
POTENTIAL ENERGY G 1.4 PROJECTION 8 1.5 THE ERROR OF AN FE SOLUTION 13
1.6 A BEAUTIFUL IDEA THAT DOES NOT WORK 15 1.7 SET THEORY 16 1.8
PRINCIPLE OF VIRTUAL DISPLACEMENTS 23 1.9 TAUT ROPE 29 1.10 LEAST
SQUARES 33 1.11 DISTANCE INSIDE = DISTANCE OUTSIDE 37 1.12 SCALAR
PRODUCT AND WEAK SOLUTION 40 1.13 EQUIVALENT NODAL FORCES 42 1.14
CONCENTRATED FORCES 44 1.15 GREEN S FUNCTIONS 51 1.16 PRACTICAL
CONSEQUENCES 55 1.17 WHY FINITE ELEMENT RESULTS ARE WRONG 57 1.18 PROOF
64 1.19 INFLUENCE FUNCTIONS 69 1.20 ACCURACY 80 1.21 WHY RESULTANT
STRESSES ARE MORE ACCURATE 86 1.22 WHY STRESSES AT MIDPOINTS ARE MORE
ACCURATE 88 1.23 WHY STRESSES JUMP 99 1.24 WHY FINITE ELEMENT SUPPORT
REACTIONS ARC RELATIVELY ACCURATE . . 99 1.25 GAUSS POINTS 104 1.26 THE
DIRAC ENERGY 110 1.27 HOW TO PREDICT CHANGES 113 1.28 THE INFLUENCE OF A
SINGLE ELEMENT 126 1.29 RETROFITTING STRUCTURES 130 1.30 LOCAL ERRORS
AND POLLUTION 136 1.31 ADAPTIVE METHODS 147 1.32 ST. VENANFS PRINCIPLE
172 1.33 SINGULARITIES 175 1.34 ACTIO = REACT IO? 177 X CONTENTS 1.35
THE OUTPUT 181 1.36 SUPPORT CONDITIONS 183 1.37 EQUILIBRIUM 184 1.38
TEMPERATURE CHANGES AND DISPLACEMENT OF SUPPORTS 187 1.39 STABILITY
PROBLEMS 193 1.40 INTERPOLATION 197 1.41 POLYNOMIALS 199 1.42 INFINITE
ENERGY 208 1.43 CONFORMING AND NONCONFORMING SHAPE FUNCTIONS 209 1.44
PARTITION OF UNITY 211 1.45 GENERALIZED FINITE CLEMENT METHODS 213 1.46
ELEMENTS 220 1.47 STIFFNESS MATRICES 221 1.48 COUPLING DEGREES OF
FREEDOM 224 1.49 NUMERICAL DETAILS 226 1.50 WARNING 235 2 WHAT ARE
BOUNDARY ELEMENTS? 239 2.1 INFLUENCE FUNCTIONS OR BETTI S THEOREM 240
2.2 STRUCTURAL ANALYSIS WITH BOUNDARY ELEMENTS 247 2.3 COMPARISON FINITE
ELEMENTS -BOUNDARY ELEMENTS 262 3 FRAMES 269 3.1 INTRODUCTION 269 3.2
THE FE APPROACH 270 3.3 FINITE ELEMENTS AND THE SLOPE DEFLECTION METHOD
289 3.4 STIFFNESS MATRICES 292 3.5 APPROXIMATIONS FOR STIFFNESS MATRICES
298 3.6 CABLES 305 3.7 HIERARCHICAL ELEMENTS 309 3.8 SENSITIVITY
ANALYSIS 313 4 PLANE PROBLEMS 327 4.1 SIMPLE EXAMPLE 327 4.2 STRAINS AND
STRESSES 334 4.3 SHAPE FUNCTIONS 337 4.4 PLANE ELEMENTS 338 4.5 THE
PATCH TEST 344 4.6 VOLUME FORCES 346 4.7 SUPPORTS 347 4.8 NODAL STRESSES
AND ELEMENT STRESSES 357 4.9 TRUSS AND FRAME MODELS 363 4.10 TWO-BAY
WALL 365 4.11 MULTISTORY SHEAR WALL 365 4.12 SHEAR WALL WITH SUSPENDED
LOAD 370 CONTENTS XI 4.13 SHEAR WALL AND HORIZONTAL LOAD 375 4.14
EQUILIBRIUM OF RESULTANT FORCES 378 4.15 ADAPTIVE MESH REFINEMENT 383
4.16 PLANE PROBLEMS IN SOIL MECHANICS 386 4.17 INCOMPRESSIBLE MATERIAL
393 4.18 MIXED METHODS 393 4.19 INFLUENCE FUNCTIONS FOR MIXED
FORMULATIONS 399 4.20 ERROR ANALYSIS 401 4.21 NONLINEAR PROBLEMS 401
SLABS 415 5.1 KIRCHHOFF PLATES 416 5.2 THE DISPLACEMENT MODEL 421 5.3
ELEMENTS 422 5.4 HYBRID ELEMENTS 425 5.5 SINGULARITIES OF A KIRCHHOFF
PLATE 429 5.6 REISSNER-MINDLIN PLATES 431 5.7 SINGULARITIES OF A
REISSNER-MINDLIN PLATE 436 5.8 REISSNER-MINDLIN ELEMENTS 439 5.9
SUPPORTS 441 5.10 COLUMNS 443 5.11 SHEAR FORCES 451 5.12 VARIABLE
THICKNESS 452 5.13 BEAM MODELS 459 5.14 WHEEL LOADS 460 5.15 CIRCULAR
SLABS 461 5.16 T BEAMS 462 5.17 FOUNDATION SLABS 469 5.18 DIRECT DESIGN
METHOD 476 5.19 POINT SUPPORTS 477 5.20 STUDY 480 5.21 SENSITIVITY
ANALYSIS 480 SHELLS 485 6.1 SHELL EQUATIONS 485 6.2 SHELLS OF REVOLUTION
488 6.3 VOLUME ELEMENTS AND DEGENERATE SHELL ELEMENTS 490 6.4 CIRCULAR
ARCHES 491 6.5 FLAT ELEMENTS 493 6.6 MEMBRANES 498 XII CONTENTS 7
THEORETICAL DETAILS 503 7.1 SCALAR PRODUCT 503 7.2 GREEN S IDENTITIES
508 7.3 GREEN S FUNCTIONS 516 7.4 GENERALIZED GREEN S FUNCTIONS 519 7.5
NONLINEAR PROBLEMS 526 7.6 THE DERIVATION OF INFLUENCE FUNCTIONS 529 7.7
WEAK FORM OF INFLUENCE FUNCTIONS 535 7.8 INFLUENCE FUNCTIONS FOR OTHER
QUANTITIES 539 7.9 SHIFTED GREEN S FUNCTIONS 541 7.10 THE DUAL SPACE 552
7.11 SOME CONCEPTS OF ERROR ANALYSIS 560 7.12 IMPORTANT EQUATIONS AND
INEQUALITIES 568 REFERENCES 579 INDEX 593
|
| adam_txt |
FRIEDEL HARTMANN CASIMIR KATZ STRUCTURAL ANALYSIS WITH FINITE ELEMENTS
WITH 408 FIGURES AND 26 TABLES 4U SPRINGER CONTENTS WHAT ARE FINITE
ELEMENTS? 1 1.1 INTRODUCTION 1 1.2 KEY POINTS OF THE FE METHOD 1 1.3
POTENTIAL ENERGY G 1.4 PROJECTION 8 1.5 THE ERROR OF AN FE SOLUTION 13
1.6 A BEAUTIFUL IDEA THAT DOES NOT WORK 15 1.7 SET THEORY 16 1.8
PRINCIPLE OF VIRTUAL DISPLACEMENTS 23 1.9 TAUT ROPE 29 1.10 LEAST
SQUARES 33 1.11 DISTANCE INSIDE = DISTANCE OUTSIDE 37 1.12 SCALAR
PRODUCT AND WEAK SOLUTION 40 1.13 EQUIVALENT NODAL FORCES 42 1.14
CONCENTRATED FORCES 44 1.15 GREEN'S FUNCTIONS 51 1.16 PRACTICAL
CONSEQUENCES 55 1.17 WHY FINITE ELEMENT RESULTS ARE WRONG 57 1.18 PROOF
64 1.19 INFLUENCE FUNCTIONS 69 1.20 ACCURACY 80 1.21 WHY RESULTANT
STRESSES ARE MORE ACCURATE 86 1.22 WHY STRESSES AT MIDPOINTS ARE MORE
ACCURATE 88 1.23 WHY STRESSES JUMP 99 1.24 WHY FINITE ELEMENT SUPPORT
REACTIONS ARC RELATIVELY ACCURATE . . 99 1.25 GAUSS POINTS 104 1.26 THE
DIRAC ENERGY 110 1.27 HOW TO PREDICT CHANGES 113 1.28 THE INFLUENCE OF A
SINGLE ELEMENT 126 1.29 RETROFITTING STRUCTURES 130 1.30 LOCAL ERRORS
AND POLLUTION 136 1.31 ADAPTIVE METHODS 147 1.32 ST. VENANFS PRINCIPLE
172 1.33 SINGULARITIES 175 1.34 ACTIO = REACT IO? 177 X CONTENTS 1.35
THE OUTPUT 181 1.36 SUPPORT CONDITIONS 183 1.37 EQUILIBRIUM 184 1.38
TEMPERATURE CHANGES AND DISPLACEMENT OF SUPPORTS 187 1.39 STABILITY
PROBLEMS 193 1.40 INTERPOLATION 197 1.41 POLYNOMIALS 199 1.42 INFINITE
ENERGY 208 1.43 CONFORMING AND NONCONFORMING SHAPE FUNCTIONS 209 1.44
PARTITION OF UNITY 211 1.45 GENERALIZED FINITE CLEMENT METHODS 213 1.46
ELEMENTS 220 1.47 STIFFNESS MATRICES 221 1.48 COUPLING DEGREES OF
FREEDOM 224 1.49 NUMERICAL DETAILS 226 1.50 WARNING 235 2 WHAT ARE
BOUNDARY ELEMENTS? 239 2.1 INFLUENCE FUNCTIONS OR BETTI'S THEOREM 240
2.2 STRUCTURAL ANALYSIS WITH BOUNDARY ELEMENTS 247 2.3 COMPARISON FINITE
ELEMENTS -BOUNDARY ELEMENTS 262 3 FRAMES 269 3.1 INTRODUCTION 269 3.2
THE FE APPROACH 270 3.3 FINITE ELEMENTS AND THE SLOPE DEFLECTION METHOD
289 3.4 STIFFNESS MATRICES 292 3.5 APPROXIMATIONS FOR STIFFNESS MATRICES
298 3.6 CABLES 305 3.7 HIERARCHICAL ELEMENTS 309 3.8 SENSITIVITY
ANALYSIS 313 4 PLANE PROBLEMS 327 4.1 SIMPLE EXAMPLE 327 4.2 STRAINS AND
STRESSES 334 4.3 SHAPE FUNCTIONS 337 4.4 PLANE ELEMENTS 338 4.5 THE
PATCH TEST 344 4.6 VOLUME FORCES 346 4.7 SUPPORTS 347 4.8 NODAL STRESSES
AND ELEMENT STRESSES 357 4.9 TRUSS AND FRAME MODELS 363 4.10 TWO-BAY
WALL 365 4.11 MULTISTORY SHEAR WALL 365 4.12 SHEAR WALL WITH SUSPENDED
LOAD 370 CONTENTS XI 4.13 SHEAR WALL AND HORIZONTAL LOAD 375 4.14
EQUILIBRIUM OF RESULTANT FORCES 378 4.15 ADAPTIVE MESH REFINEMENT 383
4.16 PLANE PROBLEMS IN SOIL MECHANICS 386 4.17 INCOMPRESSIBLE MATERIAL
393 4.18 MIXED METHODS 393 4.19 INFLUENCE FUNCTIONS FOR MIXED
FORMULATIONS 399 4.20 ERROR ANALYSIS 401 4.21 NONLINEAR PROBLEMS 401
SLABS 415 5.1 KIRCHHOFF PLATES 416 5.2 THE DISPLACEMENT MODEL 421 5.3
ELEMENTS 422 5.4 HYBRID ELEMENTS 425 5.5 SINGULARITIES OF A KIRCHHOFF
PLATE 429 5.6 REISSNER-MINDLIN PLATES 431 5.7 SINGULARITIES OF A
REISSNER-MINDLIN PLATE 436 5.8 REISSNER-MINDLIN ELEMENTS 439 5.9
SUPPORTS 441 5.10 COLUMNS 443 5.11 SHEAR FORCES 451 5.12 VARIABLE
THICKNESS 452 5.13 BEAM MODELS 459 5.14 WHEEL LOADS 460 5.15 CIRCULAR
SLABS 461 5.16 T BEAMS 462 5.17 FOUNDATION SLABS 469 5.18 DIRECT DESIGN
METHOD 476 5.19 POINT SUPPORTS 477 5.20 STUDY 480 5.21 SENSITIVITY
ANALYSIS 480 SHELLS 485 6.1 SHELL EQUATIONS 485 6.2 SHELLS OF REVOLUTION
488 6.3 VOLUME ELEMENTS AND DEGENERATE SHELL ELEMENTS 490 6.4 CIRCULAR
ARCHES 491 6.5 FLAT ELEMENTS 493 6.6 MEMBRANES 498 XII CONTENTS 7
THEORETICAL DETAILS 503 7.1 SCALAR PRODUCT 503 7.2 GREEN'S IDENTITIES
508 7.3 GREEN'S FUNCTIONS 516 7.4 GENERALIZED GREEN'S FUNCTIONS 519 7.5
NONLINEAR PROBLEMS 526 7.6 THE DERIVATION OF INFLUENCE FUNCTIONS 529 7.7
WEAK FORM OF INFLUENCE FUNCTIONS 535 7.8 INFLUENCE FUNCTIONS FOR OTHER
QUANTITIES 539 7.9 SHIFTED GREEN'S FUNCTIONS 541 7.10 THE DUAL SPACE 552
7.11 SOME CONCEPTS OF ERROR ANALYSIS 560 7.12 IMPORTANT EQUATIONS AND
INEQUALITIES 568 REFERENCES 579 INDEX 593 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Hartmann, Friedel Katz, Casimir 1954- |
| author_GND | (DE-588)105483222 |
| author_facet | Hartmann, Friedel Katz, Casimir 1954- |
| author_role | aut aut |
| author_sort | Hartmann, Friedel |
| author_variant | f h fh c k ck |
| building | Verbundindex |
| bvnumber | BV022888361 |
| classification_rvk | SK 910 ZI 3310 |
| ctrlnum | (OCoLC)633127760 (DE-599)DNB981710905 |
| dewey-full | 620.00151825 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.00151825 |
| dewey-search | 620.00151825 |
| dewey-sort | 3620.00151825 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Bauingenieurwesen Mathematik |
| discipline_str_mv | Maschinenbau / Maschinenwesen Bauingenieurwesen Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV022888361 |
| illustrated | Illustrated |
| index_date | 2024-07-02T18:52:36Z |
| indexdate | 2024-07-09T21:07:48Z |
| institution | BVB |
| isbn | 9783540496984 354049698X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016093241 |
| oclc_num | 633127760 |
| open_access_boolean | |
| owner | DE-703 DE-92 DE-1051 DE-634 DE-83 DE-1050 |
| owner_facet | DE-703 DE-92 DE-1051 DE-634 DE-83 DE-1050 |
| physical | XII, 597 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| spelling | Hartmann, Friedel Verfasser aut Structural analysis with finite elements with ... 26 tables Friedel Hartmann ; Casimir Katz 2. ed. Berlin [u.a.] Springer 2007 XII, 597 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [579] - 591 Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Schale (DE-588)4052003-1 gnd rswk-swf Platte (DE-588)4046304-7 gnd rswk-swf Baumechanik (DE-588)4355658-9 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Strukturmechanik (DE-588)4126904-4 s DE-604 Platte (DE-588)4046304-7 s Schale (DE-588)4052003-1 s Baumechanik (DE-588)4355658-9 s 1\p DE-604 Katz, Casimir 1954- Verfasser (DE-588)105483222 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016093241&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hartmann, Friedel Katz, Casimir 1954- Structural analysis with finite elements with ... 26 tables Strukturmechanik (DE-588)4126904-4 gnd Schale (DE-588)4052003-1 gnd Platte (DE-588)4046304-7 gnd Baumechanik (DE-588)4355658-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4126904-4 (DE-588)4052003-1 (DE-588)4046304-7 (DE-588)4355658-9 (DE-588)4017233-8 |
| title | Structural analysis with finite elements with ... 26 tables |
| title_auth | Structural analysis with finite elements with ... 26 tables |
| title_exact_search | Structural analysis with finite elements with ... 26 tables |
| title_exact_search_txtP | Structural analysis with finite elements with ... 26 tables |
| title_full | Structural analysis with finite elements with ... 26 tables Friedel Hartmann ; Casimir Katz |
| title_fullStr | Structural analysis with finite elements with ... 26 tables Friedel Hartmann ; Casimir Katz |
| title_full_unstemmed | Structural analysis with finite elements with ... 26 tables Friedel Hartmann ; Casimir Katz |
| title_short | Structural analysis with finite elements |
| title_sort | structural analysis with finite elements with 26 tables |
| title_sub | with ... 26 tables |
| topic | Strukturmechanik (DE-588)4126904-4 gnd Schale (DE-588)4052003-1 gnd Platte (DE-588)4046304-7 gnd Baumechanik (DE-588)4355658-9 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Strukturmechanik Schale Platte Baumechanik Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016093241&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hartmannfriedel structuralanalysiswithfiniteelementswith26tables AT katzcasimir structuralanalysiswithfiniteelementswith26tables |