Electromagnetics and calculation of fields:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 565 S. graph. Darst. |
| ISBN: | 0387948775 |
Internformat
MARC
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| 084 | |a UH 1000 |0 (DE-625)145634: |2 rvk | ||
| 100 | 1 | |a Ida, Nathan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electromagnetics and calculation of fields |c Nathan Ida ; João P. A. Bastos |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XVII, 565 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 7 | |a Teoria eletromagnetica |2 larpcal | |
| 650 | 4 | |a Electromagnetic fields | |
| 650 | 4 | |a Electromagnetism | |
| 650 | 0 | 7 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Berechnung |0 (DE-588)4120997-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektromagnetismus |0 (DE-588)4014306-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Elektromagnetismus |0 (DE-588)4014306-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |D s |
| 689 | 1 | 1 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Elektromagnetisches Feld |0 (DE-588)4014305-3 |D s |
| 689 | 2 | 1 | |a Berechnung |0 (DE-588)4120997-7 |D s |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Bastos, João P. A. |e Verfasser |4 aut | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590777&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007590777 | |
Datensatz im Suchindex
| _version_ | 1807320297291907072 |
|---|---|
| adam_text |
CONTENTS
PREFACE
.
V
PART
I.
THE
ELECTROMAGNETIC
FIELD
AND
MAXWELL'S
EQUATIONS
1.
MATHEMATICAL
PRELIMINARIES
1.1.
INTRODUCTION
.
1
1.2.
THE
VECTOR
NOTATION
.
1
1.3.
VECTOR
DERIVATION
.
2
1.3.1.
THE
NABLA
(V)
OPERATOR
.
2
1.3.2.
DEFINITION
OF
THE
GRADIENT,
DIVERGENCE,
AND
CURL
.
2
1.4.
THE
GRADIENT
.
3
1.4.1.
EXAMPLE
OF
GRADIENT
.
5
1.5.
THE
DIVERGENCE
.
6
1.5.1.
DEFINITION
OF
FLUX
.
6
1.5.2.
THE
DIVERGENCE
THEOREM
.
8
1.5.3.
CONSERVATIVE
FLUX
.
9
1.5.4.
EXAMPLE
OF
DIVERGENCE
.
11
1.6.
THE
CURL
.
12
1.6.1.
CIRCULATION
OF
A
VECTOR
.
12
1.6.2.
STOKES'THEOREM
.
14
1.6.3.
EXAMPLE
OF
CURL
.
17
1.7.
SECOND
ORDER
OPERATORS
.
18
1.8.
APPLICATION
OF
OPERATORS
TO
MORE
THAN
ONE
FUNCTION
.
19
1.9.
EXPRESSIONS
IN
CYLINDRICAL
AND
SPHERICAL
COORDINATES
.
20
2.
THE
ELECTROMAGNETIC
FIELD
AND
MAXWELL'S
EQUATIONS
2.1.
INTRODUCTION
.
22
2.2.
MAXWELL'S
EQUATIONS
.
22
2.2.1.
FUNDAMENTAL
PHYSICAL
PRINCIPLES
OF
THE
ELECTROMAGNETIC
FIELD
.
23
X
CONTENTS
2.2.2.
POINT
FORM
OF
THE
EQUATIONS
.
29
2.2.3.
THE
EQUATIONS
IN
VACUUM
.
32
2.2.4.
THE
EQUATIONS
IN
MEDIA
WITH
E=O
AND
.
34
2.2.5.
THE
EQUATIONS
IN
GENERAL
MEDIA
.
35
2.2.6.
THE
INTEGRAL
FORM
OF
MAXWELL'S
EQUATIONS
.
37
2.3.
APPROXIMATIONS
TO
MAXWELL'S
EQUATIONS
.
43
2.4.
UNITS
.
45
3.
ELECTROSTATIC
FIELDS
3.1.
INTRODUCTION
.
47
3.2.
THE
ELECTROSTATIC
CHARGE
.
47
3.2.1.
THE
ELECTRIC
FIELD
.
48
3.2.2.
FORCE
ON
AN
ELECTRIC
CHARGE
.
48
3.2.3.
THE
ELECTRIC
SCALAR
POTENTIAL
V
.
49
3.3.
NONCONSERVATIVE
FIELDS:
ELECTROMOTIVE
FORCE
.
53
3.4.
REFRACTION
OF
THE
ELECTRIC
FIELD
.
55
3.5.
DIELECTRIC
STRENGTH
.
59
3.6.
THE
CAPACITOR
.
61
3.6.1.
DEFINITION
OF
CAPACITANCE
.
61
3.6.2.
ENERGY
STORED
IN
A
CAPACITOR
.
64
3.6.3.
ENERGY
IN
A
STATIC,
CONSERVATIVE
FIELD
.
64
3.7.
LAPLACE'S
AND
POISSON'S
EQUATIONS
IN
TERMS
OF
THE
ELECTRIC
FIELD
65
3.8.
EXAMPLES
.
67
3.8.1.
THE
INFINITE
CHARGED
LINE
.
67
3.8.2.
THE
CHARGED
SPHERICAL
HALF-SHELL
.
70
3.8.3.
THE
SPHERICAL
CAPACITOR
.
71
3.8.4.
THE
SPHERICAL
CAPACITOR
WITH
TWO
DIELECTRIC
LAYERS
.
72
3.9.
A
BRIEF
INTRODUCTION
TO
THE
FINITE
ELEMENT
METHOD:
SOLUTION
OF
THE
TWO-DIMENSIONAL
LAPLACE
EQUATION
.
74
3.9.1.
THE
FINITE
ELEMENT
TECHNIQUE
FOR
DIVISION
OF
A
DOMAIN
.
75
3.9.2.
THE
VARIATIONAL
METHOD
.
77
3.9.3.
A
FINITE
ELEMENT
PROGRAM
.
80
3.9.4.
EXAMPLE
FOR
USE
OF
THE
FINITE
ELEMENT
PROGRAM
.
84
3.10.
TABLES
OF
PERMITTIVITIES,
DIELECTRIC
STRENGTH,
AND
CONDUCTIVITIES
88
4.
MAGNETOSTATIC
FIELDS
4.1.
INTRODUCTION
.
90
4.2.
MAXWELL'S
EQUATIONS
IN
MAGNETOSTATICS
.
91
4.2.1.
THE
EQUATION
VXH=J
.
91
4.2.2.
THE
EQUATION
V
B=0
.
93
4.2.3.
THE
EQUATION
VXE=0
.
93
CONTENTS
XI
4.3.
THE
BIOT-SAVART
LAW
.
94
4.4.
BOUNDARY
CONDITIONS
FOR
THE
MAGNETIC
FIELD
.
96
4.5.
MAGNETIC
MATERIALS
.
98
4.5.1.
DIAMAGNETIC
MATERIALS
.
99
4.5.2.
PARAMAGNETIC
MATERIALS
.
100
4.5.3.
FERROMAGNETIC
MATERIALS
.
100
4.5.4.
PERMANENT
MAGNETS
.
104
4.6.
THE
ANALOGY
BETWEEN
MAGNETIC
AND
ELECTRIC
CIRCUITS
.
115
4.7.
INDUCTANCE
AND
MUTUAL
INDUCTANCE
.
119
4.7.1.
DEFINITION
OF
INDUCTANCE
.
119
4.7.2.
ENERGY
IN
A
LINEAR
SYSTEM
.
120
4.7.3.
THE
ENERGY
STORED
IN
THE
MAGNETIC
FIELD
.
122
4.8.
EXAMPLES
.
123
4.8.1.
CALCULATION
OF
FIELD
INTENSITY
AND
INDUCTANCE
OF
A
LONG
SOLENOID
.
123
4.8.2.
CALCULATION
OF
H
FOR
A
CIRCULAR
LOOP
.
125
4.8.3.
FIELD
OF
A
RECTANGULAR
LOOP
.
127
4.8.4.
CALCULATION
OF
INDUCTANCE
OF
A
COAXIAL
CABLE
.
128
4.8.5.
CALCULATION
OF
THE
FIELD
INSIDE
A
CYLINDRICAL
CONDUCTOR
.
.
129
4.8.6.
CALCULATION
OF
THE
MAGNETIC
FIELD
INTENSITY
IN
A
MAGNETIC
CIRCUIT
.
130
4.8.7.
CALCULATION
OF
THE
MAGNETIC
FIELD
INTENSITY
OF
A
SATURATED
MAGNETIC
CIRCUIT
.
133
4.8.8.
MAGNETIC
CIRCUIT
INCORPORATING
PERMANENT
MAGNETS
.
135
4.9.
LAPLACE'S
EQUATION
IN
TERMS
OF
THE
MAGNETIC
SCALAR
POTENTIAL
.
.
138
4.10.
PROPERTIES
OF
SOFT
MAGNETIC
MATERIALS
.
140
5.
MAGNETODYNAMIC
FIELDS
5.1.
INTRODUCTION
.
142
5.2.
MAXWELL'S
EQUATIONS
FOR
THE
MAGNETODYNAMIC
FIELD
.
143
5.3.
PENETRATION
OF
TIME
DEPENDENT
FIELDS
IN
CONDUCTING
MATERIALS
.
146
5.3.1.
THE
EQUATION
FOR
H
.
146
5.3.2.
THE
EQUATION
FOR
B
.
147
5.3.3.
THE
EQUATION
FOR
E
.
147
5.3.4.
THE
EQUATION
FOR
J
.
148
5.3.5.
SOLUTION
OF
THE
EQUATIONS
.
148
5.4.
EDDY
CURRENT
LOSSES
IN
PLATES
.
153
5.5.
HYSTERESIS
LOSSES
.
156
5.6.
EXAMPLES
.
160
5.6.1.
INDUCED
CURRENTS
DUE
TO
CHANGE
IN
INDUCTION
.
160
5.6.2.
INDUCED
CURRENTS
DUE
TO
CHANGES
IN
GEOMETRY
.
163
5.6.3.
INDUCTIVE
HEATING
OF
A
CONDUCTING
BLOCK
.
165
XII
CONTENTS
5.6.4.
EFFECT
OF
MOVEMENT
OF
A
MAGNET
RELATIVE
TO
A
FLAT
CONDUCTOR
.
169
5.6.5.
VISUALIZATION
OF
PENETRATION
OF
FIELDS
AS
A
FUNCTION
OF
FREQUENCY
.
171
5.6.6.
THE
VOLTAGE
TRANSFORMER
.
172
6.
INTERACTION
BETWEEN
ELECTROMAGNETIC
AND
MECHANICAL
FORCES
6.1.
INTRODUCTION
.
175
6.2.
FORCE
ON
A
CONDUCTOR
.
175
6.3.
FORCE
ON
MOVING
CHARGES:
THE
LORENTZ
FORCE
.
178
6.4.
ENERGY
IN
THE
MAGNETIC
FIELD
.
180
6.5.
FORCE
AS
VARIATION
OF
ENERGY
(VIRTUAL
WORK)
.
182
6.6.
THE
POYNTING
VECTOR
.
184
6.7.
MAXWELL'S
FORCE
TENSOR
.
188
6.8.
EXAMPLES
.
195
6.8.1.
FORCE
BETWEEN
TWO
CONDUCTING
SEGMENTS
.
195
6.8.2.
TORQUE
ON
A
LOOP
.
198
6.8.3.
THE
HALL
EFFECT
.
200
6.8.4.
THE
LINEAR
MOTOR
AND
GENERATOR
.
202
6.8.5.
ATTRACTION
OF
A
FERROMAGNETIC
BODY
.
205
6.8.6.
REPULSION
OF
A
DIAMAGNETIC
BODY
.
206
6.8.7.
MAGNETIC
LEVITATION
.
207
6.8.8.
THE
MAGNETIC
BRAKE
.
209
7.
WAVE
PROPAGATION
AND
HIGH-FREQUENCY
ELECTROMAGNETIC
FIELDS
7.1.
INTRODUCTION
.
212
7.2.
THE
WAVE
EQUATION
AND
ITS
SOLUTION
.
215
7.2.1.
THE
TIME
DEPENDENT
EQUATIONS
.
215
7.2.2.
THE
TIME
HARMONIC
WAVE
EQUATIONS
.
220
7.2.3.
SOLUTION
OF
THE
WAVE
EQUATION
.
222
7.2.4.
SOLUTION
FOR
PLANE
WAVES
.
222
7.2.5.
THE
ONE-DIMENSIONAL
WAVE
EQUATION
IN
FREE
SPACE
AND
LOSSLESS
DIELECTRICS
.
223
7.3.
PROPAGATION
OF
WAVES
IN
MATERIALS
.
227
7.3
1.
PROPAGATION
OF
WAVES
IN
LOSSY
DIELECTRICS
.
227
7.3.2.
PROPAGATION
OF
PLANE
WAVES
IN
LOW-LOSS
DIELECTRICS
.
229
7.3.3.
PROPAGATION
OF
PLANE
WAVES
IN
CONDUCTORS
.
230
7.3.4.
PROPAGATION
IN
A
CONDUCTOR:
DEFINITION
OF
THE
SKIN
DEPTH
232
7.4.
POLARIZATION
OF
PLANE
WAVES
.
233
CONTENTS
XIII
7.5.
REFLECTION,
REFRACTION,
AND
TRANSMISSION
OF
PLANE
WAVES
.
235
7.5.1.
REFLECTION
AND
TRANSMISSION
AT
A
LOSSY
DIELECTRIC
INTERFACE:
NORMAL
INCIDENCE
.
236
7.5.2.
REFLECTION
AND
TRANSMISSION
AT
A
CONDUCTOR
INTERFACE:
NORMAL
INCIDENCE
.
239
7.5.3.
REFLECTION
AND
TRANSMISSION
AT
A
FINITE
CONDUCTIVITY
CONDUCTOR
INTERFACE
.
240
7.5.4.
REFLECTION
AND
TRANSMISSION
AT
AN
INTERFACE:
OBLIQUE
INCIDENCE
.
241
7.5.5.
OBLIQUE
INCIDENCE
ON
A
CONDUCTING
INTERFACE:
PERPENDICULAR
POLARIZATION
.
242
7.5.6.
OBLIQUE
INCIDENCE
ON
A
CONDUCTING
INTERFACE:
PARALLEL
POLARIZATION
.
244
7.5.7.
OBLIQUE
INCIDENCE
ON
A
DIELECTRIC
INTERFACE:
PERPENDICULAR
POLARIZATION
.
245
7.5.8.
OBLIQUE
INCIDENCE
ON
A
DIELECTRIC
INTERFACE:
PARALLEL
POLARIZATION
.
248
7.6.
WAVEGUIDES
.
249
7.6.1.
TEM,
TE,
AND
TM
WAVES
.
249
7.6.2.
TEM
WAVES
.
251
7.6.3.
TE
WAVES
.
251
7.6.4.
TM
WAVES
.
252
7.6.5.
RECTANGULAR
WAVEGUIDES
.
253
7.6.6.
TM
MODES
IN
WAVEGUIDES
.
253
7.6.7.
TE
MODES
IN
WAVEGUIDES
.
256
7.7.
CAVITY
RESONATORS
.
258
7.7.1.
TM
AND
TE
MODES
IN
CAVITY
RESONATORS
.
259
7.7.2.
TE
MODES
IN
A
CAVITY
.
261
7.7.3.
ENERGY
IN
A
CAVITY
.
261
7.7.4.
QUALITY
FACTOR
OF
A
CAVITY
RESONATOR
.
263
7.7.5.
COUPLING
TO
CAVITIES
.
263
PART
IL
INTRODUCTION
TO
THE
FINITE
ELEMENT
METHOD
IN
ELECTROMAGNETICS
8.
INTRODUCTION
TO
THE
FINITE
ELEMENT
METHOD
8.1.
INTRODUCTION
.
265
8.2.
THE
GALERKIN
METHOD
-
BASIC
CONCEPTS
.
266
8.3.
THE
GALERKIN
METHOD
-
EXTENSION
TO
2D
.
277
8.3.1.
THE
BOUNDARY
CONDITIONS
.
278
8.3.2.
CALCULATION
OF
THE
2D
ELEMENTAL
MATRIX
.
279
8.4.
THE
VARIATIONAL
METHOD
-
BASIC
CONCEPTS
.
281
XIV
CONTENTS
8.5.
THE
VARIATIONAL
METHOD
-
EXTENSION
TO
2D
.
284
8.5.1.
THE
VARIATIONAL
FORMULATION
.
284
8.5.2.
CALCULATION
OF
THE
2D
ELEMENTAL
MATRIX
.
289
8.6.
GENERALIZATION
OF
THE
FINITE
ELEMENT
METHOD
.
291
8.6.1.
HIGH-ORDER
FINITE
ELEMENTS:
GENERAL
.
292
8.6.2.
HIGH-ORDER
FINITE
ELEMENTS:
NOTATION
.
293
8.6.3.
HIGH-ORDER
FINITE
ELEMENTS:
IMPLEMENTATION
.
296
8.6.4.
CONTINUITY
OF
FINITE
ELEMENTS
.
298
8.6.5.
POLYNOMIAL
BASIS
.
298
8.6.6.
TRANSFORMATION
OF
QUANTITIES
-
THE
JACOBIAN
.
300
8.6.7.
EVALUATION
OF
THE
INTEGRALS
.
302
8.7.
NUMERICAL
INTEGRATION
.
306
8.7.1.
EVALUATION
OF
THE
INTEGRALS
.
306
8.7.2.
BASIC
PRINCIPLES
OF
NUMERICAL
INTEGRATION
.
307
8.7.3.
ACCURACY
AND
ERRORS
IN
NUMERICAL
INTEGRATION
.
311
8.8.
SOME
SPECIFIC
FINITE
ELEMENTS
.
313
8.8.1.
ID
ELEMENTS
.
314
8.8.2.
2D
ELEMENTS
.
315
8.8.3.
3D
ELEMENTS
.
318
8.9.
COUPLING
DIFFERENT
FINITE
ELEMENTS;
INFINITE
ELEMENTS
.
323
8.9.1.
COUPLING
DIFFERENT
TYPES
OF
FINITE
ELEMENTS
.
323
8.9.2.
INFINITE
ELEMENTS
.
325
8.10.
CALCULATION
OF
SOME
TERMS
IN
POISSON'S
EQUATION
.
327
8.10.1.
THE
STIFFNESS
MATRIX
.
327
8.10.2.
EVALUATION
OFTHE
SECOND
TERM
IN
EQ.
(8.130)
.
329
8.10.3.
EVALUATION
OFTHE
THIRD
TERM
IN
EQ.
(8.130)
.
329
8.10.4.
EVALUATION
OF
THE
SOURCE
TERM
.
330
8.11.
A
SIMPLIFIED
2D
SECOND-ORDER
FINITE
ELEMENT
PROGRAM
.
330
8.11.1.
THE
PROBLEM
TO
BE
SOLVED
.
330
8.11.2.
THE
DISCRETIZED
DOMAIN
.
332
8.11.3.
THE
FINITE
ELEMENT
PROGRAM
.
333
9.
THE
VARIATIONAL
FINITE
ELEMENT
METHOD:
SOME
STATIC
APPLICATIONS
9.1.
INTRODUCTION
.
343
9.2.
SOME
STATIC
APPLICATIONS
.
343
9.2.1.
ELECTROSTATIC
FIELDS:
DIELECTRIC
MATERIALS
.
343
9.2.2.
STATIONARY
CURRENTS:
CONDUCTING
MATERIALS
.
345
9.2.3.
MAGNETIC
FIELDS:
SCALAR
POTENTIAL
.
346
9.2.4.
THE
MAGNETIC
FIELD:
VECTOR
POTENTIAL
.
347
9.2.5.
THE
ELECTRIC
VECTOR
POTENTIAL
.
352
9.3.
THE
VARIATIONAL
METHOD
.
353
CONTENTS
XV
9.3.1.
THE
VARIATIONAL
FORMULATION
.
354
9.3.2.
FUNCTIONALS
INVOLVING
SCALAR
POTENTIALS
.
355
9.3.3.
THE
VECTOR
POTENTIAL
FUNCTIONALS
.
359
9.4.
THE
FINITE
ELEMENT
METHOD
.
362
9.5.
APPLICATION
OF
FINITE
ELEMENTS
WITH
THE
VARIATIONAL
METHOD
.
.
.
366
9.5.1.
APPLICATION
TO
THE
ELECTROSTATIC
FIELD
.
367
9.5.2.
APPLICATION
TO
THE
CASE
OF
STATIONARY
CURRENTS
.
370
9.5.3.
APPLICATION
TO
THE
MAGNETIC
FIELD:
SCALAR
POTENTIAL
.
370
9.5.4.
APPLICATION
TO
THE
MAGNETIC
FIELD:
VECTOR
POTENTIAL
.
371
9.5.5.
APPLICATION
TO
THE
ELECTRIC
VECTOR
POTENTIAL
.
373
9.6.
ASSEMBLY
OF
THE
MATRIX
SYSTEM
.
373
9.7.
AXI-SYMMETRIC
APPLICATIONS
.
375
9.8.
NONLINEAR
APPLICATIONS
.
383
9.8.1.
METHOD
OF
SUCCESSIVE
APPROXIMATION
.
383
9.8.2.
THE
NEWTON-RAPHSON
METHOD
.
384
9.9.
THE
THREE-DIMENSIONAL
SCALAR
POTENTIAL
.
387
9.9.1.
THE
FIRST-ORDER
TETRAHEDRAL
ELEMENT
.
388
9.9.2.
APPLICATION
OF
THE
VARIATIONAL
METHOD
.
389
9.9.3.
MODELING
OF
3D
PERMANENT
MAGNETS
.
389
9.10.
EXAMPLES
.
390
9.10.1.
CALCULATION
OF
ELECTROSTATIC
FIELDS
.
391
9.10.2.
CALCULATION
OF
STATIC
CURRENTS
.
392
9.10.3.
CALCULATION
OF
THE
MAGNETIC
FIELD:
SCALAR
POTENTIAL
.
.
.
394
9.10.4.
CALCULATION
OF
THE
MAGNETIC
FIELD:
VECTOR
POTENTIAL
.
396
9.10.5.
THREE-DIMENSIONAL
CALCULATION
OF
FIELDS
OF
PERMANENT
MAGNETS
.
398
10.
GALERKIN'S
RESIDUAL
METHOD:
APPLICATIONS
TO
DYNAMIC
FIELDS
10.1.
INTRODUCTION
.
400
10.2.
APPLICATION
TO
MAGNETIC
FIELDS
IN
ANISOTROPIC
MEDIA
.
401
10.3.
APPLICATION
TO
2D
EDDY
CURRENT
PROBLEMS
.
405
10.3.1.
FIRST-ORDER
ELEMENT
IN
LOCAL
COORDINATES
.
405
10.3.2.
THE
VECTOR
POTENTIAL
EQUATION
USING
TIME
DISCRETIZATION
.
409
10.3.3.
THE
COMPLEX
VECTOR
POTENTIAL
EQUATION
.
417
10.3.4.
STRUCTURES
WITH
MOVING
PARTS
.
420
10.3.5.
THE
AXI-SYMMETRIC
FORMULATION
.
422
10.3.6.
A
MODIFIED
COMPLEX
VECTOR
POTENTIAL
FORMULATION
FOR
WAVE
PROPAGATION
.
425
10.3.7.
FORMULATION
OF
HELMHOLTZ'S
EQUATION
.
427
10.3.8.
ADVANTAGES
AND
LIMITATIONS
OF
2D
FORMULATIONS
.
430
10.4.
APPLICATION
OF
THE
NEWTON-RAPHSON
METHOD
.
432
XVI
CONTENTS
10.5.
EXAMPLES
.
434
10.5.1.
EDDY
CURRENTS:
TIME
DISCRETIZATION
.
434
10.5.2.
MOVING
CONDUCTING
PIECE
IN
FRONT
OF
AN
ELECTROMAGNET
.
437
10.5.3.
MODES
AND
FIELDS
IN
A
WAVEGUIDE
.
440
10.5.4.
RESONANT
FREQUENCIES
OF
A
MICROWAVE
CAVITY
.
442
11.
HEXAHEDRAL
EDGE
ELEMENTS
-
SOME
3D
APPLICATIONS
11.1.
INTRODUCTION
.
445
11.2.
THE
HEXAHEDRAL
EDGE
ELEMENT
SHAPE
FUNCTIONS
.
448
11.3.
CONSTRUCTION
OF
THE
SHAPE
FUNCTIONS
.
456
11.4.
APPLICATION
OF
EDGE
ELEMENTS
TO
LOW-FREQUENCY
MAXWELL'S
EQUATIONS
.
460
11.4.1.
STATIC
CASES
.
461
11.4.2.
LISTING
OF
THE
MATRIX
CONSTRUCTION
CODE
.
464
11.4.3.
MODELING
OF
PERMANENT
MAGNETS
.
466
11.4.4.
EDDY
CURRENTS
-
THE
TIME-STEPPING
PROCEDURE
.
466
11.4.5.
EDDY
CURRENTS
-
THE
COMPLEX
FORMULATION
.
468
11.4.6.
THE
NEWTON-RAPHSON
METHOD
.
469
11.4.7.
THE
DIVERGENCE
OF
J
AND
OTHER
PARTICULARS
.
471
11.5.
MODELING
OF
WAVEGUIDES
AND
CAVITY
RESONATORS
.
472
11.6.
EXAMPLES
.
473
11.6.1.
STATIC
CALCULATIONS
(TEAM
PROBLEM
13)
.
474
11.6.2.
A
LINEAR
MOTOR
WITH
PERMANENT
MAGNETS
.
475
11.6.3.
EDDY
CURRENT
CALCULATIONS
(TEAM
PROBLEM
21)
.
AHI
11.6.4.
CALCULATION
OF
RESONANT
FREQUENCIES
(TEAM
PROBLEM
19)
.
480
12.
COMPUTATIONAL
ASPECTS
IN
FINITE
ELEMENT
SOFTWARE
IMPLEMENTATION
12.1.
INTRODUCTION
.
484
12.2.
GEOMETRIC
REPETITION
OF
DOMAINS
.
484
12.2.1.
PERIODICITY
.
484
12.2.2.
ANTI-PERIODICITY
.
486
12.3.
STORAGE
OF
THE
COEFFICIENT
MATRIX
.
487
12.3.1.
SYMMETRY
OF
THE
COEFFICIENT
MATRIX
.
487
12.3.2.
THE
BANDED
MATRIX
AND
ITS
STORAGE
.
487
12.3.3.
COMPACT
STORAGE
OF
THE
MATRIX
.
489
12.4.
INSERTION
OF
DIRICHLET
BOUNDARY
CONDITIONS
.
490
12.5.
QUADRILATERAL
AND
HEXAHEDRAL
ELEMENTS
.
491
CONTENTS
XVII
12.6.
METHODS
OF
SOLUTION
OF
THE
LINEAR
SYSTEM
.
493
12.6.1.
DIRECT
METHODS
.
493
12.6.2.
ITERATIVE
METHODS
.
497
12.7.
METHODS
OF
SOLUTION
FOR
EIGENVALUES
AND
EIGENVECTORS
.
500
12.7.1.
THE
JACOBI
TRANSFORMATION
.
500
12.7.2.
THE
GIVENS
TRANSFORMATION
.
503
12.7.3.
THE
QR
AND
QZ
METHODS
.
504
12.8.
DIAGRAM
OF
A
FINITE
ELEMENT
PROGRAM
.
506
13.
GENERAL
ORGANIZATION
OF
FIELD
COMPUTATION
SOFTWARE
13.1.
INTRODUCTION
.
509
13.2.
THE
PRE-PROCESSOR
MODULE
.
510
13.2.1.
THE
USER/SYSTEM
DIALOGUE
.
510
13.2.2.
DOMAIN
DISCRETIZATION
.
511
13.3.
THE
PROCESSOR
MODULE
.
516
13.4.
THE
POST-PROCESSOR
MODULE
.
517
13.4.1.
VISUALIZATION
OF
RESULTS
.
517
13.4.2.
CALCULATION
OF
NUMERICAL
RESULTS
.
519
13.5.
THE
COMPUTATIONAL
ORGANIZATION
OF
A
SOFTWARE
PACKAGE
.
524
13.5.1.
THE
EFCAD
SOFTWARE
.
525
13.6.
EVOLVING
SOFTWARE
.
528
13.6.1.
THE
ADAPTIVE
MESH
METHOD
.
528
13.6.2.
A
COUPLED
THERMAL/ELECTRICAL
SYSTEM
.
533
13.6.3.
A
SOFTWARE
PACKAGE
FOR
ELECTRICAL
MACHINES
.
537
13.6.4
A
SYSTEM
FOR
SIMULTANEOUS
SOLUTION
OF
FIELD
EQUATIONS
AND
EXTERNAL
CIRCUITS
.
541
13.6.5.
COMPUTATIONAL
DIFFICULTIES
AND
EXTENSIONS
TO
FIELD
COMPUTATION
PACKAGES
.
547
13.7.
RECENT
TRENDS
.
547
BIBLIOGRAPHY
.
549
SUBJECT
INDEX
.
559 |
| any_adam_object | 1 |
| author | Ida, Nathan Bastos, João P. A. |
| author_facet | Ida, Nathan Bastos, João P. A. |
| author_role | aut aut |
| author_sort | Ida, Nathan |
| author_variant | n i ni j p a b jpa jpab |
| building | Verbundindex |
| bvnumber | BV011300417 |
| callnumber-first | Q - Science |
| callnumber-label | QC760 |
| callnumber-raw | QC760 |
| callnumber-search | QC760 |
| callnumber-sort | QC 3760 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 1000 |
| ctrlnum | (OCoLC)35450486 (DE-599)BVBBV011300417 |
| dewey-full | 537 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 537 - Electricity and electronics |
| dewey-raw | 537 |
| dewey-search | 537 |
| dewey-sort | 3537 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011300417 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:22:27Z |
| institution | BVB |
| isbn | 0387948775 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007590777 |
| oclc_num | 35450486 |
| open_access_boolean | |
| owner | DE-703 DE-20 DE-29T DE-634 DE-83 DE-11 |
| owner_facet | DE-703 DE-20 DE-29T DE-634 DE-83 DE-11 |
| physical | XVII, 565 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| spelling | Ida, Nathan Verfasser aut Electromagnetics and calculation of fields Nathan Ida ; João P. A. Bastos 2. ed. New York [u.a.] Springer 1997 XVII, 565 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Teoria eletromagnetica larpcal Electromagnetic fields Electromagnetism Elektromagnetisches Feld (DE-588)4014305-3 gnd rswk-swf Berechnung (DE-588)4120997-7 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 s DE-604 Elektromagnetisches Feld (DE-588)4014305-3 s Finite-Elemente-Methode (DE-588)4017233-8 s Berechnung (DE-588)4120997-7 s Bastos, João P. A. Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590777&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ida, Nathan Bastos, João P. A. Electromagnetics and calculation of fields Teoria eletromagnetica larpcal Electromagnetic fields Electromagnetism Elektromagnetisches Feld (DE-588)4014305-3 gnd Berechnung (DE-588)4120997-7 gnd Elektromagnetismus (DE-588)4014306-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4014305-3 (DE-588)4120997-7 (DE-588)4014306-5 (DE-588)4017233-8 |
| title | Electromagnetics and calculation of fields |
| title_auth | Electromagnetics and calculation of fields |
| title_exact_search | Electromagnetics and calculation of fields |
| title_full | Electromagnetics and calculation of fields Nathan Ida ; João P. A. Bastos |
| title_fullStr | Electromagnetics and calculation of fields Nathan Ida ; João P. A. Bastos |
| title_full_unstemmed | Electromagnetics and calculation of fields Nathan Ida ; João P. A. Bastos |
| title_short | Electromagnetics and calculation of fields |
| title_sort | electromagnetics and calculation of fields |
| topic | Teoria eletromagnetica larpcal Electromagnetic fields Electromagnetism Elektromagnetisches Feld (DE-588)4014305-3 gnd Berechnung (DE-588)4120997-7 gnd Elektromagnetismus (DE-588)4014306-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Teoria eletromagnetica Electromagnetic fields Electromagnetism Elektromagnetisches Feld Berechnung Elektromagnetismus Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007590777&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT idanathan electromagneticsandcalculationoffields AT bastosjoaopa electromagneticsandcalculationoffields |