Cathode shape design for steady-state electrochemical machining:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
München
Verl. Dr. Hut
2015
|
| Edition: | 1. Aufl. |
| Series: | Ingenieurwissenschaften
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIV, 111 S. graph. Darst. 210 mm x 148 mm, 210 g |
| ISBN: | 9783843920773 384392077X |
Staff View
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CONTENTS
1 INTRODUCTION 1
1.1 NECESSITY AND PRINCIPLE OF ELECTROCHEMICAL MACHINING 1
1.2 EXISTING APPROACHES TO CATHODE SHAPE DESIGN FOR STEADY-STATE GCM 4
1.3 AIM, BASIS AND SCOPE OF THIS WORK 8
2 THEORETICAL BACKGROUND AND METHODS 11
2.1 OUTLINE 11
2.2 METAL DISSOLUTION IN ECM USING PASSIVATING ELECTROLYTES 11
2.2.1 ELECTROLYTES AND CURRENT DENSITY-POTENTIAL CHARACTERISTICS 11
2.2.2 MATERIAL REMOVAL RATES AND CURRENT EFFICIENCY 12
2.2.3 POTENTIAL DROP ACROSS THE INTERELECTRODE GAP 13
2.3 THE POTENTIAL MODEL OF ECM 14
2.3.1 MODEL ASSUMPTIONS 14
2.3.2 MATHEMATICAL MODEL FORMULATION FOR PLANE ELECTRODES 15
2.3.3 MATHEMATICAL MODEL FORMULATION FOR CURVED ELECTRODES 17
2.3.4 STEADY-STATE CONDITION AND THE CATHODE SHAPE DESIGN PROBLEM 18
2.4 INVERSE PROBLEMS, ILL-POSEDNESS AND REGULARIZATION 19
2.5 ADJOINT METHOD IN OPTIMIZATION 22
2.6 ELEMENTS OF SHAPE CALCULUS 25
3 EXPERIMENTAL TESTS OF THE POTENTIAL MODEL 29
3.1 OUTLINE 29
3.2 MATERIALS AND EXPERIMENTAL SETUP 29
3.3 ECM USING PLANE ELECTRODES 29
3.3.1 CHARACTERISTICS OF STEADY-STATE MACHINING 29
3.3.2 TRANSITION INTO STEADY STATE 31
3.3.3 GAP WIDTH AND CURRENT DENSITY EVOLUTION AT ZERO FEED RATE 32
3.4 ECM USING CURVED CATHODES . 33
3.5 CONCLUDING REMARKS 35
4 NUMERICAL WORKPIECE SHAPE PREDICTION 37
4.1 OUTLINE 37
4.2 DIMENSIONLESS FORMULATION OF THE POTENTIAL MODEL 37
4.3 NUMERICAL IMPLEMENTATION OF THE SIMULATION TOOL 38
4.4 VERIFICATION OF THE SIMULATION TOOL 41
4.4.1 PLAUSIBILITY OF THE COMPUTED ANODE SHAPE EVOLUTION 41
V
HTTP://D-NB.INFO/1074264398
4.4.2 ACCURACY OF THE PREDICTED STEADY-STATE ANODE SHAPE 43
4.5 MAPPING OF SURFACE FEATURES OF THE CATHODE ONTO THE SURFACE OF THE
ANODE . 45
4.5.1 SINGLE-WAVELENGTH IRREGULARITY 45
4.5.2 MULTI-WAVELENGTH IRREGULARITY 47
4.5.3 SIGNIFICANCE OF THE FINDINGS IN PRACTICE 49
5 EXACT SOLUTIONS TO THE STEADY-STATE CATHODE SHAPE DESIGN PROBLEM IN 2D
51
5.1 OUTLINE 51
5.2 DIMENSIONLESS FORMULATION OF THE CATHODE SHAPE DESIGN PROBLEM 51
5.3 CATHODE SHAPE DESIGN FOR ANALYTIC ANODE SHAPES 53
5.3.1 GAUSSIAN-SHAPED INDENTATION 53
5.3.2 SINUSOIDAL ANODE SURFACE 54
5.3.3 PRACTICAL SIGNIFICANCE OF THE RESULTS 55
5.4 CATHODE SHAPE DESIGN FOR ANODE SHAPES WITH LIMITED SMOOTHNESS 56
5.5 EXISTENCE OF PHYSICALLY REALIZABLE SOLUTIONS 60
6 CATHODE SHAPE DESIGN BY ADJOINT-BASED SHAPE OPTIMIZATION 61
6.1 OUTLINE 61
6.2 CATHODE SHAPE DESIGN SOLVED AS SHAPE OPTIMIZATION PROBLEM 61
6.3 NUMERICAL IMPLEMENTATION OF THE SIMULATION TOOL 64
6.4 VERIFICATION OF THE SIMULATION TOOL 66
6.4.1 PLAUSIBILITY OF THE COMPUTED CATHODE SHAPES 66
6.4.2 ACCURACY OF THE COMPUTED CATHODE SHAPES 67
6.5 CATHODE SHAPE DESIGN FOR ANALYTIC ANODE SHAPES 68
6.5.1 APPLICATION TO 3D PROBLEMS 68
6.5.2 COMPARISON WITH THE COS 0-METHOD 69
6.5.3 CURVATURE DEPENDENCE OF THE EQUILIBRIUM FRONT GAP 71
6.5.4 REMARK ON THE POLARITY REVERSAL METHOD OF CATHODE SHAPE DESIGN 73
6.5.5 COMPUTATION OF PHYSICALLY UNREALIZABLE CATHODE SHAPES 74
6.6 CATHODE SHAPE DESIGN FOR ANODE SHAPES WITH LIMITED SMOOTHNESS 75
6.6.1 CONSEQUENCES OF THE ILL-POSEDNESS OF THE CATHODE SHAPE DESIGN
PROBLEM . 75
6.6.2 NUMERICALLY COMPUTED CATHODE SHAPE NEAR A NONANALYTIC POINT OF THE
ANODE 76
6.6.3 PERIMETER REGULARIZATION FOR CATHODE SHAPE DESIGN 78
6.6.4 ANODE SHAPES PRODUCED BY REGULARIZED CATHODES 80
7 CONCLUSION AND OUTLOOK 83
7.1 PROPOSED CATHODE SHAPE DESIGN PROCEDURE 83
7.2 LIMITATIONS OF THE PRESENT WORK AND SUGGESTIONS FOR FURTHER STUDIES
86
7.2.1 ALTERNATIVE METHODS TO DESCRIBE ANODE SHAPE CHANGES 86
7.2.2 EXACT SOLUTIONS TO THE CATHODE SHAPE DESIGN PROBLEM IN 3D 88
7.2.3 EXTENDED PHYSICAL MODEL FOR CATHODE SHAPE DESIGN 88
7.2.4 ALTERNATIVE REGULARIZATION METHODS 89
CONTENTS
VII
A COMPLEX VARIABLE METHOD FOR CATHODE SHAPE DESIGN IN 2D 91
B SOLUTIONS TO THE SHAPE OPTIMIZATION PROBLEMS 95
B.L DERIVATION OF THE SOLUTION TO PROBLEM (P
N
) 95
B.2 DERIVATION OF THE SOLUTION TO PROBLEM (P
D
) 97
C ANALYTICAL ESTIMATE OF THE FRONT GAP IN ECM USING CURVED ELECTRODES 99
C.L 2D CASE 99
C.2 3D CASE 100
REFERENCES 101 |
| any_adam_object | 1 |
| author | Lu, Jinming |
| author_facet | Lu, Jinming |
| author_role | aut |
| author_sort | Lu, Jinming |
| author_variant | j l jl |
| building | Verbundindex |
| bvnumber | BV042571998 |
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| ctrlnum | (OCoLC)910976889 (DE-599)DNB1069685089 |
| dewey-full | 620 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620 |
| dewey-search | 620 |
| dewey-sort | 3620 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Werkstoffwissenschaften |
| edition | 1. Aufl. |
| format | Thesis Book |
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| id | DE-604.BV042571998 |
| illustrated | Illustrated |
| indexdate | 2024-08-03T02:23:36Z |
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| language | English |
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| physical | XIV, 111 S. graph. Darst. 210 mm x 148 mm, 210 g |
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| publishDateSearch | 2015 |
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| spelling | Lu, Jinming Verfasser aut Cathode shape design for steady-state electrochemical machining Jinming Lu 1. Aufl. 201504 München Verl. Dr. Hut 2015 XIV, 111 S. graph. Darst. 210 mm x 148 mm, 210 g txt rdacontent n rdamedia nc rdacarrier Ingenieurwissenschaften Zugl.: München, Technische Universität, Diss., 2014 Immobilisierung (DE-588)4123417-0 gnd rswk-swf Carbene (DE-588)4147281-0 gnd rswk-swf Stickstoffheterocyclen (DE-588)4183269-3 gnd rswk-swf Katalysator (DE-588)4029919-3 gnd rswk-swf Cathode shape design steady-state electrochemical machining OpenFOAM (DE-588)4113937-9 Hochschulschrift gnd-content Stickstoffheterocyclen (DE-588)4183269-3 s Carbene (DE-588)4147281-0 s Katalysator (DE-588)4029919-3 s Immobilisierung (DE-588)4123417-0 s DE-604 Verlag Dr. Hut (München) Sonstige (DE-588)10174118-2 oth X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=5206449&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028005532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lu, Jinming Cathode shape design for steady-state electrochemical machining Immobilisierung (DE-588)4123417-0 gnd Carbene (DE-588)4147281-0 gnd Stickstoffheterocyclen (DE-588)4183269-3 gnd Katalysator (DE-588)4029919-3 gnd |
| subject_GND | (DE-588)4123417-0 (DE-588)4147281-0 (DE-588)4183269-3 (DE-588)4029919-3 (DE-588)4113937-9 |
| title | Cathode shape design for steady-state electrochemical machining |
| title_auth | Cathode shape design for steady-state electrochemical machining |
| title_exact_search | Cathode shape design for steady-state electrochemical machining |
| title_full | Cathode shape design for steady-state electrochemical machining Jinming Lu |
| title_fullStr | Cathode shape design for steady-state electrochemical machining Jinming Lu |
| title_full_unstemmed | Cathode shape design for steady-state electrochemical machining Jinming Lu |
| title_short | Cathode shape design for steady-state electrochemical machining |
| title_sort | cathode shape design for steady state electrochemical machining |
| topic | Immobilisierung (DE-588)4123417-0 gnd Carbene (DE-588)4147281-0 gnd Stickstoffheterocyclen (DE-588)4183269-3 gnd Katalysator (DE-588)4029919-3 gnd |
| topic_facet | Immobilisierung Carbene Stickstoffheterocyclen Katalysator Hochschulschrift |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=5206449&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028005532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lujinming cathodeshapedesignforsteadystateelectrochemicalmachining AT verlagdrhutmunchen cathodeshapedesignforsteadystateelectrochemicalmachining |