Linear and nonlinear rotordynamics: a modern treatment with applications
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
2012
|
| Edition: | 2., enl. and improved ed. |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XXV, 447 S. Ill., graph. Darst. |
| ISBN: | 3527409424 9783527409426 9783527651894 |
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| 100 | 1 | |a Ishida, Yukio |d 1948- |e Verfasser |0 (DE-588)1028082568 |4 aut | |
| 245 | 1 | 0 | |a Linear and nonlinear rotordynamics |b a modern treatment with applications |c Yukio Ishida and Toshio Yamamoto |
| 250 | |a 2., enl. and improved ed. | ||
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2012 | |
| 300 | |a XXV, 447 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Rotordynamik |0 (DE-588)4178546-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Rotordynamik |0 (DE-588)4178546-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Yamamoto, Toshio |d 1921-2007 |e Verfasser |0 (DE-588)1028083092 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-527-65191-7 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, MOBI |z 978-3-527-65190-0 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-527-65192-4 |
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CONTENTS
FOREWORD TO THE FIRST EDITION
XVII
PREFACE TO THE FIRST EDITION
XIX
PREFACE TO THE SECOND EDITION
XXIII
ACKNOWLEDGEMENTS
X
X
V
1 INTRODUCTION 1
1.1 CLASSIFICATION OF ROTOR SYSTEMS 1
1.2 HISTORICAL PERSPECTIVE
3
REFERENCES
8
2 VIBRATIONS O
F
MASSLESS SHAFTS WITH RIGID DISKS
11
2.1 GENERAL CONSIDERATIONS
11
2.2 ROTOR UNBALANCE
11
2.3 LATERAL VIBRATIONS OF AN ELASTIC SHAFT WITH A DISK AT ITS CENTER
13
2.3.1 DERIVATION O
F
EQUATIONS OF MOTION
13
2.3.2 FREE VIBRATIONS O
F
AN UNDAMPED SYSTEM AND WHIRLING MODES
14
2.3.3 SYNCHRONOUS WHIRL O
F
AN UNDAMPED SYSTEM
16
2.3.4 SYNCHRONOUS WHIRL O
F
A DAMPED SYSTEM
20
2.3.5 ENERGY BALANCE 22
2.4 INCLINATION VIBRATIONS O
F
AN ELASTIC SHAFT WITH A DISK AT ITS CENTER
23
2.4.1 ROTATIONAL EQUATIONS O
F
MOTION FOR SINGLE AXIS ROTATION 23
2.4.2 EQUATIONS O
F
MOTION
23
2.4.3 FREE VIBRATIONS AND NATURAL ANGULAR FREQUENCY
27
2.4.4 GYROSCOPIC MOMENT 29
2.4.5 SYNCHRONOUS WHIRL
33
2.5 VIBRATIONS O
F
A 4 DOF SYSTEM
34
2.5.1 EQUATIONS O
F
MOTION
34
2.5.1.1 DERIVATION BY USING THE RESULTS O
F
2 DOF SYSTEM 35
2.5.1.2 DERIVATION BY LAGRANGE'S EQUATIONS
37
2.5.2 FREE VIBRATIONS AND A NATURAL FREQUENCY DIAGRAM
4
0
2.5.3 SYNCHRONOUS WHIRLING RESPONSE 42
2.6 VIBRATIONS O
F
A RIGID ROTOR 43
2.6.1 EQUATIONS O
F
MOTION
43
HTTP://D-NB.INFO/1019094451
V
I
I
I |
CONTENTS
2.6.2 FREE WHIRLING MOTION AND WHIRLING MODES 45
2.7 APPROXIMATE FORMULAS FOR CRITICAL SPEEDS O
F
A SHAFT WITH SEVERAL
DISKS
46
2.7.1 RAYLEIGH'S METHOD
47
2.7.2 DUNKERLEY'S FORMULA
48
REFERENCES
48
3 VIBRATIONS O
F
A CONTINUOUS ROTOR
49
3.1 GENERAL CONSIDERATIONS 49
3.2 EQUATIONS O
F
MOTION 50
3.3 FREE WHIRLING MOTIONS AND CRITICAL SPEEDS 55
3.3.1 ANALYSIS CONSIDERING ONLY TRANSVERSE MOTION 56
3.3.2 ANALYSIS CONSIDERING THE GYROSCOPIC MOMENT AND ROTARY INERTIA
58
3.3.3 MAJOR CRITICAL SPEEDS 59
3.4 SYNCHRONOUS WHIRL 60
REFERENCES 65
4 BALANCING 67
4.1 INTRODUCTION 67
4.2 CLASSIFICATION O
F
ROTORS 67
4.3 BALANCING O
F
A RIGID ROTOR 69
4.3.1 PRINCIPLE O
F
BALANCING 69
4.3.1.1 TWO-PLANE BALANCING 69
4.3.1.2 SINGLE-PLANE BALANCING 70
4.3.2 BALANCING MACHINE
71
4.3.2.1 STATIC BALANCING MACHINE
71
4.3.2.2 DYNAMIC BALANCING MACHINE
71
4.3.3 FIELD BALANCING 75
4.3.4 VARIOUS EXPRESSIONS O
F
UNBALANCE 77
4.3.4.1 RESULTANT UNBALANCE
U
AND RESULTANT UNBALANCE MOMENT V 77
4.3.4.2 DYNAMIC UNBALANCE (UI, U2) 79
4.3.4.3 STATIC UNBALANCE
U
AND COUPLE UNBALANCE [U
C
, - LF
C
]
80
4.3.5 BALANCE QUALITY GRADE O
F
A RIGID ROTOR
8
2
4.3.5.1 BALANCE QUALITY GRADE
82
4.3.5.2 HOW TO USE THE STANDARDS
84
4.4 BALANCING O
F
A FLEXIBLE ROTOR 86
4.4.1 EFFECT O
F
THE ELASTIC DEFORMATION O
F
A ROTOR 86
4.4.2 MODAL BALANCING METHOD
87
4.4.2.1 N-PLANE MODAL BALANCING 88
4.4.2.2 (N + 2)-PLANE MODAL BALANCING 90
4.4.3 INFLUENCE COEFFICIENT METHOD 90
REFERENCES 92
5
5.1
VIBRATIONS O
F
AN ASYMMETRICAL SHAFT AND AN ASYMMETRICAL ROTOR 93
GENERAL CONSIDERATIONS 93
CONTENTS I
X
5.2 ASYMMETRICAL SHAFT WITH A DISK AT MIDSPAN 94
5.2.1 EQUATIONS OF MOTION 94
5.2.2 FREE VIBRATIONS AND NATURAL FREQUENCY DIAGRAMS 95
5.2.2.1 SOLUTIONS IN THE RANGES
U
A
CL
AND
ID
A
C
I
98
5.2.2.2 SOLUTIONS IN THE RANGE W
0
\
U A
C
I 99
5.2.3 SYNCHRONOUS WHIRL IN THE VICINITY OF THE MAJOR CRITICAL SPEED
100
5.3 INCLINATION MOTION O
F
AN ASYMMETRICAL ROTOR MOUNTED ON A
SYMMETRICAL SHAFT
102
5.3.1 EQUATIONS O
F
MOTION
103
5.3.2 FREE VIBRATIONS AND A NATURAL FREQUENCY DIAGRAM
108
5.3.3 SYNCHRONOUS WHIRL IN THE VICINITY O
F
THE MAJOR CRITICAL SPEED
109
5.4 DOUBLE-FREQUENCY VIBRATIONS OF AN ASYMMETRICAL HORIZONTAL
SHAFT
110
REFERENCES
113
6
NONLINEAR VIBRATIONS
115
6.1 GENERAL CONSIDERATIONS
115
6.2 CAUSES AND EXPRESSIONS O
F
NONLINEAR SPRING CHARACTERISTICS: WEAK
NONLINEARITY
115
6.3 EXPRESSIONS O
F
EQUATIONS O
F
MOTION USING PHYSICAL AND NORMAL
COORDINATES
121
6.4 VARIOUS TYPES O
F
NONLINEAR RESONANCES
123
6.4.1 HARMONIC RESONANCE
124
6.4.1.1 SOLUTION BY THE HARMONIC BALANCE METHOD
124
6.4.1.2 SOLUTION USING NORMAL COORDINATES
128
6.4.2 SUBHARMONIC RESONANCE O
F
ORDER 1/2 O
F
A FORWARD WHIRLING
MODE
130
6.4.3 SUBHARMONIC RESONANCE O
F
ORDER 1/3 O
F
A FORWARD WHIRLING
MODE
132
6.4.4 COMBINATION RESONANCE
133
6.4.5 SUMMARY O
F
NONLINEAR RESONANCES
136
6.5 NONLINEAR RESONANCES IN A SYSTEM WITH RADIAL CLEARANCE: STRONG
NONLINEARITY
139
6.5.1 EQUATIONS O
F
MOTION
141
6.5.2 HARMONIC RESONANCE AND SUBHARMONIC RESONANCES
142
6.5.3 CHAOTIC VIBRATIONS
144
6.6 NONLINEAR RESONANCES O
F
A CONTINUOUS ROTOR 145
6.6.1 REPRESENTATIONS OF NONLINEAR SPRING CHARACTERISTICS AND EQUATIONS
O
F
MOTION
146
6.6.2 TRANSFORMATION TO ORDINARY DIFFERENTIAL EQUATIONS
149
6.6.3 HARMONIC RESONANCE
150
6.6.4 SUMMARY O
F
NONLINEAR RESONANCES
151
6.7 INTERNAL RESONANCE PHENOMENON
152
6.7.1 EXAMPLES O
F
THE INTERNAL RESONANCE PHENOMENON
152
6.7.2 SUBHARMONIC RESONANCE O
F
ORDER 1/2
153
X
I CONTENTS
6.7.3 CHAOTIC VIBRATIONS IN THE VICINITY O
F
THE MAJOR CRITICAL SPEED
156
REFERENCES
158
7 SELF-EXCITED VIBRATIONS DUE TO INTERNAL DAMPING
161
7.1 GENERAL CONSIDERATIONS
161
7.2 FRICTION IN ROTOR SYSTEMS AND ITS EXPRESSIONS
161
7.2.1 EXTERNAL DAMPING 162
7.2.2 HYSTERETIC INTERNAL DAMPING
162
7.2.3 STRUCTURAL INTERNAL DAMPING
167
7.3 SELF-EXCITED VIBRATIONS DUE TO HYSTERETIC DAMPING
168
7.3.1 SYSTEM WITH LINEAR INTERNAL DAMPING FORCE
169
7.3.2 SYSTEM WITH NONLINEAR INTERNAL DAMPING FORCE
171
7
A
SELF-EXCITED VIBRATIONS DUE TO STRUCTURAL DAMPING
173
REFERENCES
176
8 NONSTATIONARY VIBRATIONS DURING PASSAGE THROUGH CRITICAL SPEEDS
177
8.1 GENERAL CONSIDERATIONS
177
8.2 EQUATIONS O
F
MOTION FOR LATERAL MOTION
178
8.3 TRANSITION WITH CONSTANT ACCELERATION
179
8.4 TRANSITION WITH LIMITED DRIVING TORQUE
183
8.4.1 CHARACTERISTICS O
F
POWER SOURCES
183
8.4.2 STEADY-STATE VIBRATION
184
8.4.3 STABILITY ANALYSIS
187
8.4.4 NONSTATIONARY VIBRATION
188
8.5 ANALYSIS BY THE ASYMPTOTIC METHOD (NONLINEAR SYSTEM, CONSTANT
ACCELERATION)
189
8.5.1 EQUATIONS O
F
MOTION AND THEIR TRANSFORMATION TO A NORMAL
COORDINATE EXPRESSION
190
8.5.2 STEADY-STATE SOLUTION 192
8.5.3 NONSTATIONARY VIBRATION
194
REFERENCES
196
9 VIBRATIONS DUE TO MECHANICAL ELEMENTS
199
9.1 GENERAL CONSIDERATIONS
199
9.2 BALL BEARINGS
199
9.2.1 VIBRATION AND NOISE IN ROLLING-ELEMENT BEARINGS
199
9.2.1.1 VIBRATIONS DUE TO THE PASSAGE OF ROLLING ELEMENTS
200
9.2.1.2 NATURAL VIBRATIONS O
F
OUTER RINGS
202
9.2.1.3 GEOMETRICAL IMPERFECTION
204
9.2.1.4 OTHER NOISES
205
9.2.2 RESONANCES O
F
A ROTOR SUPPORTED BY ROLLING-ELEMENT BEARINGS
205
9.2.2.1 RESONANCES DUE TO SHAFT ECCENTRICITY
205
9.2.2.2 RESONANCES DUE TO THE DIRECTIONAL DIFFERENCE IN STIFFNESS
206
9.2.2.3 VIBRATIONS O
F
A HORIZONTAL ROTOR DUE TO THE PASSAGE O
F
ROLLING
ELEMENTS
208
CONTENTS | X
I
9.2.2.4 VIBRATIONS DUE TO THE COEXISTENCE O
F
THE PASSAGE O
F
ROLLING ELEMENTS
AND A SHAFT INITIAL BEND
208
9.3 BEARING PEDESTALS WITH DIRECTIONAL DIFFERENCE IN STIFFNESS
209
9.4 UNIVERSAL JOINT
211
9.5 RUBBING
215
9.5.1 EQUATIONS O
F
MOTION
217
9.5.2 NUMERICAL SIMULATION
218
9.5.3 THEORETICAL ANALYSIS
220
9.5.3.1 FORWARD RUBBING
220
9.5.3.2 BACKWARD RUBBING
221
9.6 SELF-EXCITED OSCILLATION IN A SYSTEM WITH A CLEARANCE BETWEEN
BEARING
AND HOUSING
222
9.6.1 EXPERIMENTAL SETUP AND EXPERIMENTAL RESULTS
223
9.6.2 ANALYTICAL MODEL AND REDUCTION O
F
EQUATIONS OF MOTION
224
9.6.3 NUMERICAL SIMULATION 226
9.6.4 SELF-EXCITED OSCILLATIONS 227
9.6.4.1 ANALYTICAL MODEL AND EQUATIONS O
F
MOTION 227
9.6.4.2 STABILITY OF A SYNCHRONOUS WHIRL 228
9.6.4.3 MECHANISM O
F
A SELF-EXCITED OSCILLATION 229
REFERENCES
232
10 FLOW-INDUCED VIBRATIONS 235
10.1 GENERAL CONSIDERATIONS
235
10.2 OIL WHIP AND OIL WHIRL
235
10.2.1 JOURNAL BEARINGS AND SELF-EXCITED VIBRATIONS 236
10.2.2 REYNOLDS EQUATION
239
10.2.3 OIL FILM FORCE
240
10.2.3.1 SHORT BEARING APPROXIMATION
241
10.2.3.2 LONG BEARING APPROXIMATION
243
10.2.4 STABILITY ANALYSIS O
F
AN ELASTIC ROTOR
243
10.2.5 OIL WHIP PREVENTION
246
10.3 SEALS
248
10.3.1 PLAIN ANNULAR SEAL
248
10.3.2 LABYRINTH SEAL
251
10.4 TIP CLEARANCE EXCITATION
251
10.5 HOLLOW ROTOR PARTIALLY FILLED WITH LIQUID 252
10.5.1 EQUATIONS GOVERNING FLUID MOTION AND FLUID FORCE 254
10.5.2 ASYNCHRONOUS SELF-EXCITED WHIRLING MOTION 256
10.5.3 RESONANCE CURVES AT THE MAJOR CRITICAL SPEED (SYNCHRONOUS
OSCILLATION) 257
REFERENCES
261
11
11.1
11.2
VIBRATION SUPPRESSION 263
INTRODUCTION
263
VIBRATION ABSORBING RUBBER 263
X
I
I |
CONTENTS
11.3 THEORY O
F
DYNAMIC VIBRATION ABSORBER
263
11.4 SQUEEZE-FILM DAMPER BEARING 264
11.5 BALL BALANCER 266
11.5.1 FUNDAMENTAL CHARACTERISTICS AND THE PROBLEMS 266
11.5.2 COUNTERMEASURES TO THE PROBLEMS
268
11.6 DISCONTINUOUS SPRING CHARACTERISTICS
271
11.6.1 FUNDAMENTAL CHARACTERISTICS AND THE PROBLEMS
271
11.6.2 COUNTERMEASURES TO THE PROBLEMS 273
11.6.3 SUPPRESSION O
F
UNSTABLE OSCILLATIONS OF AN ASYMMETRICAL SHAFT 274
11.7 LEAF SPRING 276
11.8 VISCOUS DAMPER 277
11.9 SUPPRESSION O
F
RUBBING
278
REFERENCES
280
12 SOME PRACTICAL ROTOR SYSTEMS
283
12.1 GENERAL CONSIDERATION
283
12.2 STEAM TURBINES 283
12.2.1 CONSTRUCTION OF A STEAM TURBINE
283
12.2.2 VIBRATION PROBLEMS O
F
A STEAM TURBINE
286
12.2.2.1 POOR ACCURACY IN THE MANUFACTURING O
F
COUPLINGS
286
12.2.2.2 THERMAL BOW
287
12.2.2.3 VIBRATIONS OF TURBINE BLADES
287
12.2.2.4 OIL WHIP AND OIL WHIRL 290
12.2.2.5 LABYLINTH SEAL
290
12.2.2.6 STEAM WHIRL
290
12.3 WIND TURBINES 290
12.3.1 STRUCTURE O
F
A WIND TURBINE 290
12.3.2 CAMPBELL DIAGRAM O
F
A WIND TURBINE WITH TWO TEETERED
BLADES 292
12.3.3 EXCITATION FORCES IN WIND TURBINES 294
12.3.4 EXAMPLE: STEADY-STATE OSCILLATIONS O
F
A TEETERED TWO-BLADED WIND
TURBINE 295
12.3.4.1 WIND VELOCITY 296
12.3.4.2 VIBRATION O
F
THE TOWER 296
12.3.4.3 FLAPWISE BENDING VIBRATION O
F
THE BLADE 297
12.3.4.4 CHORDWISE BENDING VIBRATION O
F
THE BLADE 297
12.3.4.5 TORQUE VARIATION O
F
THE LOW-SPEED SHAFT 297
12.3.4.6 VARIATION O
F
THE TEETER ANGLE 297
12.3.4.7 VARIATION OF THE PITCH ANGLE 297
12.3.4.8 GEAR 297
12.3.5 BALANCING O
F
A ROTOR
298
12.3.6 VIBRATION ANALYSIS OF A BLADE ROTATING IN A VERTICAL PLANE 299
12.3.6.1 DERIVATION O
F
EQUATIONS O
F
MOTION 299
12.3.6.2 NATURAL FREQUENCIES
302
12.3.6.3 FORCED OSCILLATION
302
CONTENTS X
I
I
I
12.3.6.4 PARAMETRICALLY EXCITED OSCILLATION
303
REFERENCES
305
13 CRACKED ROTORS
307
13.1 GENERAL CONSIDERATIONS
307
13.2 MODELING AND EQUATIONS O
F
MOTION
309
13.2.1 PIECEWISE LINEAR MODEL (PWL MODEL)
309
13.2.2 POWER SERIES MODEL (PS MODEL)
311
13.3 NUMERICAL SIMULATION (PWL MODEL)
312
13.3.1 HORIZONTAL ROTOR
312
13.3.2 VERTICAL ROTOR
313
13.4 THEORETICAL ANALYSIS (PS MODEL)
313
13.4.1 FORWARD HARMONIC RESONANCE [+ W] (HORIZONTAL ROTOR)
313
13.4.2 FORWARD HARMONIC RESONANCE [+TU] (VERTICAL ROTOR)
315
13.4.3 FORWARD SUPERHARMONIC RESONANCE [+2 U] (HORIZONTAL ROTOR)
315
13.4.4 OTHER KINDS O
F
RESONANCE
317
13.4.4.1 BACKWARD HARMONIC RESONANCE [- Y]
317
13.4.4.2 FORWARD SUPERHARMONIC RESONANCE [+3W]
317
13.4.4.3 FORWARD SUBHARMONIC RESONANCE [+(L/2) Y]
318
13.4.4.4 FORWARD SUPER-SUBHARMONIC RESONANCE [+(3/2) J]
319
13.4.4.5 COMBINATION RESONANCE
320
13.5 CASE HISTORY IN INDUSTRIAL MACHINERY
321
REFERENCES
324
14 FINITE ELEMENT METHOD
327
14.1 GENERAL CONSIDERATIONS
327
14.2 FUNDAMENTAL PROCEDURE O
F
THE FINITE ELEMENT METHOD
327
14.3 DISCRETIZATION O
F
A ROTOR SYSTEM
328
14.3.1 ROTOR MODEL AND COORDINATE SYSTEMS
328
14.3.2 EQUATIONS O
F
MOTION O
F
AN ELEMENT 329
14.3.2.1 RIGID DISK
329
14.3.2.2 FINITE ROTOR ELEMENT
330
14.3.3 EQUATIONS O
F
MOTION FOR A COMPLETE SYSTEM 336
14.3.3.1 MODEL I: (UNIFORM ELASTIC ROTOR)
336
14.3.3.2 MODEL II: DISK-SHAFT SYSTEM
340
14.3.3.3 VARIATION O
F
EQUATIONS OF MOTION
343
14.4 FREE VIBRATIONS: EIGENVALUE PROBLEM
345
14.5 FORCED VIBRATIONS
347
14.6 ALTERNATIVE PROCEDURE
349
REFERENCES
350
15 TRANSFER MATRIX METHOD
351
15.1 GENERAL CONSIDERATIONS
351
15.2 FUNDAMENTAL PROCEDURE O
F
THE TRANSFER MATRIX METHOD
351
15.2.1 ANALYSIS O
F
FREE VIBRATION
351
X
I
V
CONTENTS
15.2.2 ANALYSIS O
F
FORCED VIBRATION 355
15.3 FREE VIBRATIONS O
F
A ROTOR 359
15.3.1 STATE VECTOR AND TRANSFER MATRIX 359
15.3.2 FREQUENCY EQUATION AND THE VIBRATION MODE
364
15.3.3 EXAMPLES 365
15.3.3.1 MODEL I: UNIFORM CONTINUOUS ROTOR 365
15.3.3.2 MODEL II: DISK-SHAFT SYSTEM 366
15.4 FORCED VIBRATIONS OF A ROTOR 367
15.4.1 EXTERNAL FORCE AND EXTENDED TRANSFER MATRIX 367
15.4.2 STEADY-STATE SOLUTION
370
15.4.3 EXAMPLE
371
REFERENCES
371
16 MEASUREMENT AND SIGNAL PROCESSING 373
16.1 GENERAL CONSIDERATIONS 373
16.2 MEASUREMENT AND SAMPLING PROBLEM 374
16.2.1 MEASUREMENT SYSTEM AND DIGITAL SIGNAL 374
16.2.2 PROBLEMS IN SIGNAL PROCESSING 375
16.3 FOURIER SERIES 376
16.3.1 REAL FOURIER SERIES 376
16.3.2 COMPLEX FOURIER SERIES 376
16.4 FOURIER TRANSFORM
378
16.5 DISCRETE FOURIER TRANSFORM 379
16.6 FAST FOURIER TRANSFORM
383
16.7 LEAKAGE ERROR AND COUNTERMEASURES
383
16.7.1 LEAKAGE ERROR
383
16.7.2 COUNTERMEASURES FOR LEAKAGE ERROR
384
16.7.2.1 WINDOW FUNCTION
384
16.7.2.2 PREVENTION O
F
LEAKAGE BY COINCIDING PERIODS
385
16.8 APPLICATIONS O
F
FFT TO ROTOR VIBRATIONS
386
16.8.1 SPECTRA O
F
STEADY-STATE VIBRATION
386
16.8.1.1 SUBHARMONIC RESONANCE OF ORDER 1/2 O
F
A FORWARD WHIRLING
MODE 386
16.8.1.2 COMBINATION RESONANCE
388
16.8.2 NONSTATIONARY VIBRATION
388
REFERENCES
391
17 ACTIVE MAGNETIC BEARING 393
17.1 GENERAL CONSIDERATIONS 393
17.2 MAGNETIC LEVITATION AND EARNSHAW'S THEOREM 393
17.3 ACTIVE MAGNETIC LEVITATION 394
17.3.1 LEVITATION MODEL 394
17.3.2 CURRENT CONTROL WITH PD-CONTROL 396
17.3.2.1 PHYSICAL MEANINGS O
F
PD CONTROL 397
17.3.2.2 TRANSFER FUNCTION AND STABILITY CONDITION 397
CONTENTS X
V
17.3.2.3 DETERMINATION OF GAINS
398
1-7.3.2.4 CASE WITH A STATIC LOAD 399
17.3.3 CURRENT CONTROL WITH PID-CONTROL
399
17.3.3.1 TRANSFER FUNCTION AND STABILITY CONDITION
399
17.3.3.2 DETERMINATION OF GAINS
400
17.3.3.3 CASE WITH A STATIC LOAD
400
17.3.4 PRACTICAL EXAMPLES O
F
LEVITATION
401
17.3.4.1 IDENTIFICATION O
F
SYSTEM PARAMETERS
401
17.3.4.2 DIGITAL PD-CONTROL WITH DSP
402
17.3.5 CURRENT CONTROL WITH STATE FEEDBACK CONTROL
403
17.4 ACTIVE MAGNETIC BEARING
405
17.4.1 PRINCIPLE O
F
AN ACTIVE MAGNETIC BEARING
405
17.4.2 ACTIVE MAGNETIC BEARINGS IN A HIGH-SPEED SPINDLE SYSTEM
405
17.4.3 DYNAMICS O
F
A RIGID ROTOR SYSTEM
406
REFERENCES
408
APPENDIX A MOMENT O
F
INERTIA AND EQUATIONS O
F
MOTION
409
APPENDIX B STABILITY ABOVE THE MAJOR CRITICAL SPEED
413
APPENDIX C DERIVATION O
F
EQUATIONS O
F
MOTION O
F
A 4 DOF ROTOR SYSTEM BY USING
EULER ANGLES
415
APPENDIX D ASYMMETRICAL SHAFT AND ASYMMETRICAL ROTOR WITH FOUR DEGREES
OF
FREEDOM
421
D.L 4 DOF ASYMMETRICAL SHAFT SYSTEM
421
D.2 4 DOF ASYMMETRICAL ROTOR SYSTEM
423
REFERENCE
425
APPENDIX E TRANSFORMATION OF EQUATIONS O
F
MOTION TO NORMAL COORDINATES: 4 DOF
ROTOR SYSTEM
427
E.L TRANSFORMATION O
F
EQUATIONS OF MOTION TO NORMAL COORDINATES
427
E.2 NONLINEAR TERMS
428
REFERENCES
429
APPENDIX F ROUTH-HURWITZ CRITERIA FOR COMPLEX EXPRESSIONS
431
REFERENCES
432
APPENDIX C FFT PROGRAM
433
REFERENCES
435
INDEX
437 |
| any_adam_object | 1 |
| author | Ishida, Yukio 1948- Yamamoto, Toshio 1921-2007 |
| author_GND | (DE-588)1028082568 (DE-588)1028083092 |
| author_facet | Ishida, Yukio 1948- Yamamoto, Toshio 1921-2007 |
| author_role | aut aut |
| author_sort | Ishida, Yukio 1948- |
| author_variant | y i yi t y ty |
| building | Verbundindex |
| bvnumber | BV040730526 |
| classification_rvk | UF 5200 ZL 5460 ZQ 3850 |
| classification_tum | MTA 270f |
| ctrlnum | (OCoLC)820517622 (DE-599)DNB1019094451 |
| dewey-full | 621.82 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.82 |
| dewey-search | 621.82 |
| dewey-sort | 3621.82 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Maschinenbau / Maschinenwesen Physik Elektrotechnik / Elektronik / Nachrichtentechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| edition | 2., enl. and improved ed. |
| format | Book |
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| id | DE-604.BV040730526 |
| illustrated | Illustrated |
| indexdate | 2025-03-10T13:01:38Z |
| institution | BVB |
| isbn | 3527409424 9783527409426 9783527651894 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025710582 |
| oclc_num | 820517622 |
| open_access_boolean | |
| owner | DE-29T DE-91G DE-BY-TUM DE-83 DE-92 |
| owner_facet | DE-29T DE-91G DE-BY-TUM DE-83 DE-92 |
| physical | XXV, 447 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Ishida, Yukio 1948- Verfasser (DE-588)1028082568 aut Linear and nonlinear rotordynamics a modern treatment with applications Yukio Ishida and Toshio Yamamoto 2., enl. and improved ed. Weinheim Wiley-VCH 2012 XXV, 447 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Rotordynamik (DE-588)4178546-0 gnd rswk-swf Rotordynamik (DE-588)4178546-0 s DE-604 Yamamoto, Toshio 1921-2007 Verfasser (DE-588)1028083092 aut Erscheint auch als Online-Ausgabe, EPUB 978-3-527-65191-7 Erscheint auch als Online-Ausgabe, MOBI 978-3-527-65190-0 Erscheint auch als Online-Ausgabe, PDF 978-3-527-65192-4 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3965878&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=025710582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ishida, Yukio 1948- Yamamoto, Toshio 1921-2007 Linear and nonlinear rotordynamics a modern treatment with applications Rotordynamik (DE-588)4178546-0 gnd |
| subject_GND | (DE-588)4178546-0 |
| title | Linear and nonlinear rotordynamics a modern treatment with applications |
| title_auth | Linear and nonlinear rotordynamics a modern treatment with applications |
| title_exact_search | Linear and nonlinear rotordynamics a modern treatment with applications |
| title_full | Linear and nonlinear rotordynamics a modern treatment with applications Yukio Ishida and Toshio Yamamoto |
| title_fullStr | Linear and nonlinear rotordynamics a modern treatment with applications Yukio Ishida and Toshio Yamamoto |
| title_full_unstemmed | Linear and nonlinear rotordynamics a modern treatment with applications Yukio Ishida and Toshio Yamamoto |
| title_short | Linear and nonlinear rotordynamics |
| title_sort | linear and nonlinear rotordynamics a modern treatment with applications |
| title_sub | a modern treatment with applications |
| topic | Rotordynamik (DE-588)4178546-0 gnd |
| topic_facet | Rotordynamik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3965878&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=025710582&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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