Three-dimensional elastic bodies in rolling contact:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Kluwer
1990
|
| Series: | Solid mechanics and its applications
2 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXVI, 314 S. graph. Darst. |
| ISBN: | 0792307127 |
Staff View
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| 100 | 1 | |a Kalker, J. J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Three-dimensional elastic bodies in rolling contact |c by J. J. Kalker |
| 264 | 1 | |a Dordrecht u.a. |b Kluwer |c 1990 | |
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| 490 | 1 | |a Solid mechanics and its applications |v 2 | |
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Record in the Search Index
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| adam_text | THREE-DIMENSIONAL ELASTIC BODIES IN ROLLING CONTACT BY J. J. KALKER
DEPARTMENT OF MATHEMATICS AND INFORMATICS, TH DELFT, THE NETHERLANDS
KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS
PREFACE INTRODUCTION NOTATION XIII XV XXI CHAPTER 1 THE ROLLING CONTACT
PROBLEM 1 1.1 STATEMENT OF THE PROBLEM 4 1.2 MATHEMATICAL MODELING OF
THE CONTACT FORMATION 6 1.3 MATHEMATICAL MODELING OF THE SLIP 10 1.4
MATHEMATICAL MODELING OF FRICTION 18 1.5 THE COMPLETE BOUNDARY
CONDITIONS 20 1.6 THE HALF-SPACE APPROXIMATION 22 1.6.1 MANY GEOMETRIES
ARE ELASTICALLY ALIKE 23 1.6.2 A(X,Y) MAY BE CALCULATED EXACTLY 23 1.6.3
QUASIIDENTITY IS COMMON IN HALF-SPACE PROBLEMS 24 1.6.3.1 THE
PANAGIOTOPOULOS PROCESS 24 1.6.3.2 AN ALTERNATIVE TO THE PANAGIOTOPOULOS
PROCESS (KOMBI) 24 1.6.3.3 THE JOHNSON PROCESS 25 1.6.3.4 SYMMETRY AND
QUASIIDENTITY 25 1.6.3.5 MINDLIN S METHOD 28 1.6.4 EXACT
THREE-DIMENSIONAL SOLUTIONS OF CONTACT PROBLEMS 28 1.7 BOUNDARY
CONDITIONS FOR SOME APPLICATIONS 28 1.7.1 THE HERTZ PROBLEM 28 1.7.2
FRICTIONLESS OR QUASIIDENTICAL CONTACT FORMATION FOR CONCENTRATED OR
SEMI-CONCENTRATED NON-HERTZIAN CONTACT 35 VII 1.7.3 FRICTIONAL BOUNDARY
CONDITIONS FOR BODIES OF REVOLUTION WITH THE AXES ALMOST IN ONE PLANE 41
1.7.3.1 CONCENTRATED, E.G. HERTZIAN, GEOMETRY 44 1.7.3.2 A BALL ROLLING
IN A CONFORMING GROOVE 45 CHAPTER 2 REVIEW 47 2.1 2.2 FRICTIONLESS
CONTACT 2.1.1 ELASTIC 2.2.1 2.2.2 ELEMENT METHODS 2.1.1.1 2.1.1.2
2.1.1.3 2.1.1.4 2.1.1.5 : ROLLING CARTER FRIDMAN AND CHERNINA LATER
AUTHORS INFLUENCE FUNCTION METHODS FOR THE HALF-SPACE: , CHOICE OF
ELEMENTS THE ACCURACY OF THE ELEMENTS CONCLUSION CONTACT AND FROMM THE
NO-SLIP THEORY OF ROLLING CONTACT 48 49 50 51 52 56 59 59 59 64 2.2.2.1
COMPARISON OF JOHNSON S SPIN THEORY WITH THE EXACT VALUES 66 2.2.2.2
COMPARISON OF VERMEULEN AND JOHNSON S NO-SPIN THEORY WITH THE EXACT
VALUES 67 2.2.2.3 CALCULATION OF THE EXACT VALUES OF THE C.. BY IJ J
SEPARATING THE VARIABLES IN LAPLACE S EQUATION 68 2.2.2.4 CALCULATION ON
THE BASIS OF A GENERALISATION OF GALIN S THEOREM 69 2.2.2.5 STRIP
THEORY/LINE CONTACT THEORY 71 2.2.2.6 IF METHODS FOR THE HALF-SPACE 73
2.2.3 NONLINEAR, FINITE FRICTION ROLLING CONTACT 74 2.2.3.1 JOHNSON AND
VERMEULEN-JOHNSON 74 2.2.3.2 STRIP THEORY 78 2.2.3.3 SIMPLIFIED THEORY
80 2.2.3.4 THE FIRST EXACT THEORY 82 2.2.3.5 A LINEAR PROGRAMMING METHOD
FOR THE TWO-DIMENSIONAL CASE 84 2.2.3.6 GENERALISATION OF THE METHOD OF
SEC. 2.2.3.5 TO THE THREE-DIMENSIONAL CASE 94 2.2.3.7 DUVAUT-LIONS BASED
METHODS 95 VIII CHAPTER 3 THE SIMPLIFIED THEORY OF CONTACT 99 3.1
RECAPITULATION OF THE LINEAR THEORY OF ELASTICITY 100 3.2 THE THIN
ELASTIC LAYER 101 3.3 VALIDATION BY FRICTIONLESS CONTACT 103 3.3.1
COMPARISON WITH THE THEORY OF MEIJERS 103 3.3.2 COMPARISON WITH THE
HERTZ THEORY 107 3.3.3 CONCLUSION 112 3.4 FRICTIONAL COMPRESSION 112 3.5
THE FASTSIM ALGORITHM 117 3.6 THE SHIFT 119 3.6.1 ^ = 0, W = (L.,0) ,
ELLIPTIC CONTACT 120 3.6.2 ^ = Z,J,W = 0 , 122 3.7 STEADY STATE ROLLING
CONTACT 122 3.7.1 THE FULL ADHESION SOLUTION 123 3.7.2 FINITE FRICTION
COEFFICIENT 126 3.8 TRANSIENT ROLLING CONTACT 133 3.9 AN ALTERNATIVE
METHOD TO FIND THE L. 133 3.10 CONCLUSION OF TANGENTIAL SIMPLIFIED
THEORY 134 CHAPTER 4 VARIATIONAL AND NUMERICAL THEORY OF CONTACT 137 4.1
THE PRINCIPLE OF VIRTUAL WORK AND ITS DUAL FOR CONTACT PROBLEMS 138
4.1.1 VIRTUAL WORK 138 4.1.2 COMPLEMENTARY VIRTUAL WORK 144 4.2
APPLICATION TO ELASTICITY 148 4.2.1 MINIMALITY OF THE POTENTIAL ENERGY,
MAXIMALITY OF THE COMPLEMENTARY ENERGY, AND UNIQUENESS OF THE SOLUTION
150 4.2.2 THE CASE 5^*0 154 4.2.3 EXISTENCE-UNIQUENESS THEORY 156 4.2.4
SURFACE MECHANICAL PRINCIPLES 157 4.2.5 COMPLEMENTARY ENERGY OR
POTENTIAL ENERGY IN NUMERICAL WORK? . 158 4.3 IMPLEMENTATION 159 4.3.1
THE BASIC ALGORITHM 160 4.3.2 DISCRETISATION OF THE CONTACT PROBLEM 168
4.3.3 THE ALGORITHM OF 4.3.1 APPLIED TO HALF-SPACE CONTACT PROBLEMS 172
4.3.4 STEADY STATE ROLLING, ELASTIC AND VISCOELASTIC 181 4.3.5
PRESCRIPTION OF TOTAL FORCE COMPONENTS 181 IX 4.3.6 SENSITIVITIES 182
4.3.7 CALCULATION OF THE INFLUENCE NUMBERS IN A HALF-SPACE 183 4.3.8 THE
SUBSURFACE ELASTIC FIELD IN A HALF-SPACE 184 4.3.9 NOTE ON THE
GENERALISATION TO NON-CONCENTRATED CONTACTS 184 CHAPTER 5 RESULTS 185
5.1 THE NORMAL CONTACT PROBLEM 186 5.1.1 VALIDATION (NORMAL CONTACT) 188
5.1.2 NEW RESULTS ACHIEVED BY RNJLK AND CC 193 5.2 QUASIIDENTICAL
FRICTIONAL CONTACT PROBLEMS 202 5.2.1 VALIDATION , 203 5.2.1.1 THE
CATTANEO SHIFT 203 5.2.1.2 THE MINDLIN SHIFT 205 5.2.1.3 THE CREEPAGE
AND SPIN COEFFICIENTS FOR STEADY STATE ROLLING 206 5.2.1.4 THE THEORY OF
VERMEULEN-JOHNSON ON STEADY STATE ROLLING AND ITS GENERALISATIONS 207
5.2.1.5 THE VERMEULEN-JOHNSON THEORY AND ITS GENERALISATIONS: VALIDATION
213 5.2.1.6. BRICKIE S EXPERIMENTS COMPARED WITH CONTACT AND FASTSIM 214
5.2.2 NEW RESULTS IN HERTZIAN FRICTIONAL ROLLING CONTACT 215 5.2.2.1 THE
TOTAL TANGENTIAL FORCE 216 5.2.2.2 THE AREAS OF ADHESION AND SLIP 218
5.2.2.3 SURFACE TRACTIONS 219 5.2.2.4 SUBSURFACE STRESSES 221 5.2.2.5
TRANSIENT ROLLING CONTACT 224 5.2.2.6 SOME REMARKS ON CORRUGATION 229
5.3 NON-QUASIIDENTICAL FRICTIONAL CONTACT PROBLEMS 231 5.3.1 VALIDATION
231 5.3.2 NEW RESULTS 233 5.3.2.1 UNLOADING THE SPENCE COMPRESSION 233
5.3.2.2 TRANSITION FROM THE SPENCE COMPRESSION TO STEADY STATE ROLLING
235 CHAPTER 6 CONCLUSION 237 X APPENDIX A THE BASIC EQUATIONS OF THE
LINEAR THEORY OF ELASTICITY 239 APPENDIX B SOME NOTIONS OF MATHEMATICAL
PROGRAMMING 245 APPENDIX C NUMERICAL CALCULATION OF THE ELASTIC FIELD IN
A HALF-SPACE 255 APPENDIX D THREE-DIMENSIONAL VISCOELASTIC BODIES IN
STEADY STATE FRICTIONAL ROLLING CONTACT WITH GENERALISATION TO CONTACT
PERTURBATIONS 265 APPENDIX E TABLES 285 BIBLIOGRAPHY 295 INDEX 307 XI
|
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| indexdate | 2024-07-09T16:11:43Z |
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| isbn | 0792307127 |
| language | English |
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| physical | XXVI, 314 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
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| publisher | Kluwer |
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| series | Solid mechanics and its applications |
| series2 | Solid mechanics and its applications |
| spelling | Kalker, J. J. Verfasser aut Three-dimensional elastic bodies in rolling contact by J. J. Kalker Dordrecht u.a. Kluwer 1990 XXVI, 314 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Solid mechanics and its applications 2 Contact de roulement Solides élastiques Elastic solids Rolling contact Rollkontakt (DE-588)4191975-0 gnd rswk-swf Elastischer Werkstoff (DE-588)4151686-2 gnd rswk-swf Elastischer Werkstoff (DE-588)4151686-2 s Rollkontakt (DE-588)4191975-0 s DE-604 Solid mechanics and its applications 2 (DE-604)BV004342211 2 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002698507&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kalker, J. J. Three-dimensional elastic bodies in rolling contact Solid mechanics and its applications Contact de roulement Solides élastiques Elastic solids Rolling contact Rollkontakt (DE-588)4191975-0 gnd Elastischer Werkstoff (DE-588)4151686-2 gnd |
| subject_GND | (DE-588)4191975-0 (DE-588)4151686-2 |
| title | Three-dimensional elastic bodies in rolling contact |
| title_auth | Three-dimensional elastic bodies in rolling contact |
| title_exact_search | Three-dimensional elastic bodies in rolling contact |
| title_full | Three-dimensional elastic bodies in rolling contact by J. J. Kalker |
| title_fullStr | Three-dimensional elastic bodies in rolling contact by J. J. Kalker |
| title_full_unstemmed | Three-dimensional elastic bodies in rolling contact by J. J. Kalker |
| title_short | Three-dimensional elastic bodies in rolling contact |
| title_sort | three dimensional elastic bodies in rolling contact |
| topic | Contact de roulement Solides élastiques Elastic solids Rolling contact Rollkontakt (DE-588)4191975-0 gnd Elastischer Werkstoff (DE-588)4151686-2 gnd |
| topic_facet | Contact de roulement Solides élastiques Elastic solids Rolling contact Rollkontakt Elastischer Werkstoff |
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