Numerical simulation of mechatronic sensors and actuators: finite elements for computational multiphysics
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2015
|
| Ausgabe: | 3. ed. |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=4388501&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=027698685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XXVII, 587 S. Ill., graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642401695 3642401694 9783662499900 |
Internformat
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| 245 | 1 | 0 | |a Numerical simulation of mechatronic sensors and actuators |b finite elements for computational multiphysics |c Manfred Kaltenbacher |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Heidelberg [u.a.] |b Springer |c 2015 | |
| 300 | |a XXVII, 587 S. |b Ill., graph. Darst. |c 235 mm x 155 mm | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
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| adam_text | CONTENTS
1 INTRODUCTION 1
REFERENCES 5
2 THE FINITE ELEMENT (FE) METHOD 7
2.1 FINITE ELEMENT FORMULATION 8
2.2 FINITE ELEMENT METHOD FOR A ID PROBLEM 13
2.3 NODAL (LAGRANGIAN), FINITE ELEMENTS 20
2.3.1 BASIC PROPERTIES 21
2.3.2 QUADRILATERAL ELEMENT IN R
2
23
2.3.3 TRIANGULAR ELEMENT IN R
2
26
2.3.4 TETRAHEDRON ELEMENT IN R
3
27
2.3.5 HEXAHEDRON ELEMENT IN R
3
28
2.3.6 WEDGE ELEMENT IN R
3
30
2.3.7 PYRAMIDAL ELEMENT IN R
3
31
2.3.8 GLOBAL/LOCAL DERIVATIVES 32
2.3.9 NUMERICAL INTEGRATION 34
2.4 FINITE ELEMENT PROCEDURE 36
2.5 TIME DISCRETIZATION 41
2.5.1 PARABOLIC DIFFERENTIAL EQUATION 41
2.5.2 HYPERBOLIC DIFFERENTIAL EQUATION 45
2.6 INTEGRATION OVER SURFACES 48
2.7 EDGE NEDELEC FINITE ELEMENTS 49
2.8 DISCRETIZATION ERROR 51
2.9 FINITE ELEMENTS OF HIGHER ORDER 55
2.9.1 LEGENDRE POLYNOMIALS AND HIERARCHICAL
FINITE ELEMENTS 57
2.9.2 LAGRANGE POLYNOMIALS AND SPECTRAL ELEMENTS 65
2.10 FLEXIBLE DISCRETIZATION 67
2.10.1 MORTAR FEM 69
2.10.2 NITSCHE TYPE MORTARING 82
XV
HTTP://D-NB.INFO/103818178X
XVI CONTENTS
2.10.3 NUMERICAL EXAMPLE 87
REFERENCES 89
3 MECHANICAL FIELD 93
3.1 NAVIER S EQUATION 93
3.2 DEFORMATION AND DISPLACEMENT GRADIENT 97
3.3 MECHANICAL STRAIN 98
3.4 CONSTITUTIVE EQUATIONS 102
3.4.1 PLANE STRAIN STATE 104
3.4.2 PLANE STRESS STATE 105
3.4.3 AXISYMMETRIC STRESS-STRAIN RELATIONS 106
3.5 WAVES IN SOLID BODIES 106
3.6 MATERIAL PROPERTIES 108
3.7 NUMERICAL COMPUTATION 110
3.7.1 LINEAR ELASTICITY 110
3.7.2 DAMPING MODEL 112
3.7.3 GEOMETRIC NONLINEAR CASE 114
3.7.4 NUMERICAL EXAMPLE 120
3.8 LOCKING AND EFFICIENT SOLUTION APPROACHES 121
3.8.1 INCOMPATIBLE MODES METHOD 124
3.8.2 ENHANCED ASSUMED STRAIN METHOD 126
3.8.3 BALANCED REDUCED AND SELECTIVE INTEGRATION 128
REFERENCES 134
4 FLOW FIELD 137
4.1 SPATIAL REFERENCE SYSTEMS 138
4.2 REYNOLDS TRANSPORT THEOREM 139
4.3 CONSERVATION EQUATIONS 140
4.3.1 CONSERVATION OF MASS 140
4.3.2 CONSERVATION OF MOMENTUM 141
4.3.3 CONSERVATION OF ENERGY 144
4.3.4 CONSTITUTIVE EQUATIONS 145
4.4 NAVIER-STOKES EQUATIONS 145
4.5 CHARACTERIZATION OF FLOWS BY DIMENSIONLESS NUMBERS 146
4.6 FINITE ELEMENT FORMULATION 147
4.7 NUMERICAL EXAMPLES 151
4.7.1 STEADY CHANNEL FLOW 151
4.7.2 UNSTEADY FLOW AROUND A SQUARE 154
REFERENCES 156
5 ACOUSTIC FIELD 159
5.1 WAVE THEORY OF SOUND 159
5.1.1 CONSERVATION OF MASS (CONTINUITY EQUATION) 161
5.1.2 CONSERVATION OF MOMENTUM (EULER EQUATION) 161
CONTENTS XVII
5.1.3 PRESSURE-DENSITY RELATION (STATE EQUATION) 162
5.1.4 LINEAR ACOUSTIC WAVE EQUATION 164
5.1.5 ACOUSTIC QUANTITIES 166
5.1.6 PLANE AND SPHERICAL WAVES 168
5.2 QUANTITATIVE MEASURE OF SOUND 172
5.3 NONLINEAR ACOUSTIC WAVE EQUATION 176
5.4 NUMERICAL COMPUTATION 181
5.4.1 LINEAR ACOUSTIC WAVE EQUATION 181
5.4.2 LINEAR ACOUSTIC CONSERVATION LIQUATIONS 184
5.4.3 NONLINEAR ACOUSTICS 187
5.4.4 NON-CONFORMING GRIDS 190
5.4.5 DISCRETIZATION ERROR 194
5.5 TREATMENT OF OPEN DOMAIN PROBLEMS 198
5.5.1 ABSORBING BOUNDARY CONDITIONS 199
5.5.2 PERFECTLY MATCHED LAYER (PML) TECHNIQUE 201
5.6 NUMERICAL EXAMPLES 212
5.6.1 TRANSIENT WAVE PROPAGATION IN UNBOUNDED
DOMAINS 212
5.6.2 HARMONIC WAVE PROPAGATION IN UNBOUNDED
DOMAINS 216
5.6.3 NONLINEAR WAVE PROPAGATION IN A CHANNEL 218
REFERENCES 223
6 ELECTROMAGNETIC FIELD 227
6.1 MAXWELL S EQUATIONS 227
6.1.1 LAW OF AMPERE 229
6.1.2 LAW OF FARADAY 230
6.1.3 LAW OF GAUSS 233
6.1.4 SOLENOIDAL MAGNETIC FIELD 234
6.2 QUASISTATIC ELECTROMAGNETIC FIELDS 235
6.2.1 MAGNETIC VECTOR POTENTIAL 235
6.2.2 SKIN EFFECT 236
6.3 ELECTROSTATIC FIELD 238
6.4 MATERIAL PROPERTIES 239
6.4.1 MAGNETIC PERMEABILITY 239
6.4.2 ELECTRICAL CONDUCTIVITY 242
6.4.3 DIELECTRIC PERMITTIVITY 243
6.5 ELECTROMAGNETIC INTERFACE CONDITIONS 244
6.5.1 CONTINUITY RELATIONS FOR MAGNETIC FIELD 244
6.5.2 CONTINUITY RELATIONS FOR ELECTRIC FIELD 245
6.5.3 CONTINUITY RELATIONS FOR ELECTRIC CURRENT DENSITY .... 247
6.6 NUMERICAL COMPUTATION: ELECTROSTATICS 247
6.7 NUMERICAL COMPUTATION: ELECTROMAGNETICS 249
6.7.1 FORMULATION 249
XV111
CONTENTS
6.7.2 DISCRETIZATION WITH EDGE ELEMENTS 255
6.7.3 DISCRETIZATION WITH NODAL FINITE ELEMENTS 257
6.7.4 NEWTON S METHOD FOR THE NONLINEAR CASE 260
6.7.5 APPROXIMATION OF BH CURVE 263
6.7.6 HIGHER ORDER EDGE ELEMENTS 265
6.7.7 MODELING OF CURRENT-LOADED COIL 271
6.7.8 COMPUTATION OF GLOBAL QUANTITIES 272
6.7.9 INDUCED ELECTRIC VOLTAGE 275
6.7.10 VOLTAGE-LOADED COIL 275
6.8 NUMERICAL EXAMPLES 277
6.8.1 THIN IRON PLATE 277
6.8.2 TEAM-13 BENCHMARK PROBLEM 280
REFERENCES 282
7 COUPLED FLOW-STRUCTURAL MECHANICAL SYSTEMS 285
7.1 FLUID-SOLID INTERACTION 285
7.2 COUPLING TYPES AND STRATEGIES 286
7.3 GRID ADAPTION 289
7.4 NUMERICAL EXAMPLES 292
7.4.1 SOLID PLUNGER 292
7.4.2 FLAG IN A FLOW 293
REFERENCES 296
8 COUPLED MECHANICAL-ACOUSTIC SYSTEMS 297
8.1 SOLID-FLUID INTERFACE 297
8.2 COUPLED FIELD FORMULATION 299
8.3 NUMERICAL COMPUTATION 300
8.3.1 FINITE ELEMENT FORMULATION 300
8.3.2 NON-CONFORMING GRIDS 302
8.3.3 NUMERICAL EXAMPLES 303
REFERENCES 308
9 COMPUTATIONAL AEROACOUSTICS 309
9.1 REQUIREMENTS FOR NUMERICAL SCHEMES 309
9.2 LIGHTHILL S ANALOGY 312
9.3 CURIE S THEORY 317
9.4 VORTEX SOUND 322
9.5 PERTURBATION EQUATIONS 324
9.6 FINITE ELEMENT FORMULATION 327
9.6.1 LIGHTHILLS INHOMOGENEOUS WAVE EQUATION 327
9.6.2 PERTURBATION EQUATIONS 330
9.6.3 SOURCE TERM TREATMENT 333
9.7 COMPARISON OF DIFFERENT AEROACOUSTIC ANALOGIES 334
REFERENCES 337
CONTENTS XIX
10 COUPLED ELECTROSTATIC-MECHANICAL SYSTEMS 339
10.1 ELECTROSTATIC FORCE 339
10.2 NUMERICAL COMPUTATION 346
10.2.1 CALCULATION SCHEME 347
10.2.2 VOLTAGE-DRIVEN BAR 349
REFERENCES 351
11 COUPLED MAGNETOMECHANICAL SYSTEMS 353
11.1 GENERAL MOVING/DEFORMING BODY 353
11.2 ELECTROMAGNETIC FORCE 355
11.3 NUMERICAL COMPUTATION 357
11.3.1 FORCE COMPUTATION VIA THE PRINCIPLE
OF VIRTUAL WORK 357
11.3.2 GRID ADAPTION TECHNIQUES 360
11.3.3 CALCULATION SCHEME 364
11.3.4 MOVING CURRENT/VOLTAGE-LOADED COIL 366
REFERENCES 373
12 PIEZOELECTRIC SYSTEMS 375
12.1 CONSTITUTIVE EQUATIONS 375
12.2 GOVERNING EQUATIONS: LINEAR PIEZOELECTRICITY 378
12.3 PIEZOELECTRIC MATERIAL PROPERTIES 379
12.4 MODELS FOR NONLINEAR PIEZOELECTRICITY 384
12.4.1 MACROSCOPIC MODEL WITH HYSTERESIS OPERATORS 384
12.4.2 MICRO-MECHANICAL SWITCHING MODEL 392
12.5 NUMERICAL COMPUTATION 393
12.5.1 LINEAR CASE 394
12.5.2 MACROSCOPIC HYSTERESIS BASED APPROACH 396
12.5.3 MICRO-MECHANICAL SWITCHING MODEL 400
12.6 NUMERICAL EXAMPLES 405
12.6.1 COMPUTATION OF IMPEDANCE CURVE 405
12.6.2 PIEZOELECTRIC DISC ACTUATOR 408
12.6.3 POLARIZATION AND DEPOLARIZATION PROCESS 409
REFERENCES 412
13 ALGEBRAIC SOLVERS 415
13.1 PRECONDITIONED CONJUGATE GRADIENT (PCG) METHOD 415
13.2 MULTIGRID (MG) METHOD 417
13.3 GEOMETRIC MG METHOD 420
13.3.1 GEOMETRIC MG FOR EDGE ELEMENTS 420
13.3.2 CASE STUDY 423
13.4 ALGEBRAIC MG METHOD 426
13.4.1 AUXILIARY MATRIX 427
13.4.2 COARSENING PROCESS 427
XX CONTENTS
13.4.3 PROLONGATION OPERATORS 431
13.4.4 SMOOTHER AND COARSE-GRID OPERATOR 431
13.4.5 AMG FOR NODAL ELEMENTS 432
13.4.6 AMG FOR EDGE ELEMENTS 433
13.4.7 AMG FOR TIME-HARMONIC CASE 436
13.4.8 CASE STUDIES 437
13.5 BLOCK PRECONDITIONER FOR HIGHER ORDER EDGE
ELEMENT DISCRETIZATION 443
REFERENCES 450
14 INDUSTRIAL APPLICATIONS 453
14.1 ELECTRODYNAMIC LOUDSPEAKER 453
14.1.1 FINITE ELEMENT MODELS 454
14.1.2 VERIFICATION OF COMPUTER MODELS 456
14.1.3 NUMERICAL ANALYSIS OF THE NONLINEAR
LOUDSPEAKER BEHAVIOR 458
14.1.4 COMPUTER OPTIMIZATION OF THE NONLINEAR
LOUDSPEAKER BEHAVIOR 460
14.2 NOISE COMPUTATION OF POWER TRANSFORMERS 460
14.2.1 FINITE ELEMENT MODELS 462
14.2.2 VERIFICATION OF THE COMPUTER MODELS 465
14.2.3 VERIFICATION OF THE CALCULATED WINDING
AND TANK-SURFACE VIBRATIONS 465
14.2.4 VERIFICATION OF THE SOUND-FIELD CALCULATIONS 467
14.2.5 INFLUENCE OF TAP-CHANGER POSITION 468
14.2.6 INFLUENCE OF STIFFNESS OF WINDING SUPPORTS 469
14.3 FAST-SWITCHING ELECTROMAGNETIC VALVES 469
14.3.1 MODELING AND SOLUTION STRATEGY 470
14.3.2 ACTUATOR CHARACTERISTICS 472
14.3.3 ACTUATOR DYNAMICS 474
14.3.4 DYNAMICS OPTIMIZATION I: ELECTRICAL
PREMAGNETIZATION 475
14.3.5 DYNAMICS OPTIMIZATION II: OVEREXCITATION 477
14.3.6 SWITCHING CYCLE 478
14.4 COFIRED PIEZOCERAMIC MULTILAYER ACTUATORS 479
14.4.1 POLARIZATION OF A STACK ACTUATOR 480
14.4.2 STACK ACTUATOR: HYSTERESIS BASED APPROACH 483
14.5 CAPACITIVE MICRO-MACHINED ULTRASOUND TRANSDUCERS 485
14.5.1 REQUIREMENTS TO NUMERICAL SIMULATION SCHEME 486
14.5.2 SINGLE CMUT CELL 488
14.5.3 CMUT ARRAY 490
14.5.4 CONTROLLED CMUT ARRAY 491
14.6 HIGH-INTENSITY FOCUSED ULTRASOUND 495
14.6.1 PIEZOELECTRIC TRANSDUCER AND INPUT IMPEDANCE 495
CONTENTS XXI
14.6.2 PRESSURE PULSE COMPUTATION 497
14.6.3 HIGH-POWER PULSE SOURCES FOR LITHOTRIPSY 498
14.7 HUMAN PHONATION 503
14.7.1 MATHEMATICAL MODELING 505
14.7.2 2D FULLY COUPLED SIMULATION 505
14.7.3 3D DRIVEN SIMULATION 510
14.8 AEROACOUSTICS OF FLOW AROUND OBSTACLES 515
14.8.1 SQUARE CYLINDER GEOMETRIES 515
14.8.2 EDGE TONE 523
14.8.3 AIRFRAME NOISE 530
REFERENCES 533
15 SUMMARY AND OUTLOOK 537
REFERENCES 538
APPENDIX A: NORMS 539
APPENDIX B: SCALAR AND VECTOR FIELDS 541
APPENDIX C: TENSORS AND INDEX NOTATION 557
APPENDIX D: APPROPRIATE FUNCTION SPACES 563
APPENDIX E: SOLUTION OF NONLINEAR EQUATIONS 569
APPENDIX F: HYSTERESIS MODEL 575
INDEX 581
|
| any_adam_object | 1 |
| author | Kaltenbacher, Manfred |
| author_facet | Kaltenbacher, Manfred |
| author_role | aut |
| author_sort | Kaltenbacher, Manfred |
| author_variant | m k mk |
| building | Verbundindex |
| bvnumber | BV042260909 |
| classification_rvk | ZQ 7000 |
| ctrlnum | (OCoLC)864529747 (DE-599)DNB103818178X |
| dewey-full | 621.01518 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.01518 |
| dewey-search | 621.01518 |
| dewey-sort | 3621.01518 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV042260909 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T17:06:07Z |
| institution | BVB |
| isbn | 9783642401695 3642401694 9783662499900 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027698685 |
| oclc_num | 864529747 |
| open_access_boolean | |
| owner | DE-703 DE-858 DE-92 DE-29T DE-861 |
| owner_facet | DE-703 DE-858 DE-92 DE-29T DE-861 |
| physical | XXVII, 587 S. Ill., graph. Darst. 235 mm x 155 mm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Kaltenbacher, Manfred Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics Mechatronik (DE-588)4238812-0 gnd Aktor (DE-588)4198914-4 gnd Simulation (DE-588)4055072-2 gnd Feld Physik (DE-588)4153902-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Sensor (DE-588)4038824-4 gnd |
| subject_GND | (DE-588)4238812-0 (DE-588)4198914-4 (DE-588)4055072-2 (DE-588)4153902-3 (DE-588)4128130-5 (DE-588)4038824-4 |
| title | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics |
| title_auth | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics |
| title_exact_search | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics |
| title_full | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics Manfred Kaltenbacher |
| title_fullStr | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics Manfred Kaltenbacher |
| title_full_unstemmed | Numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics Manfred Kaltenbacher |
| title_short | Numerical simulation of mechatronic sensors and actuators |
| title_sort | numerical simulation of mechatronic sensors and actuators finite elements for computational multiphysics |
| title_sub | finite elements for computational multiphysics |
| topic | Mechatronik (DE-588)4238812-0 gnd Aktor (DE-588)4198914-4 gnd Simulation (DE-588)4055072-2 gnd Feld Physik (DE-588)4153902-3 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Sensor (DE-588)4038824-4 gnd |
| topic_facet | Mechatronik Aktor Simulation Feld Physik Numerisches Verfahren Sensor |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4388501&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=027698685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kaltenbachermanfred numericalsimulationofmechatronicsensorsandactuatorsfiniteelementsforcomputationalmultiphysics |