The physics of vibrations and waves:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester [u.a.]
Wiley
2005
|
| Edition: | 6. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XX, 556 S. Ill., graph. Darst. |
| ISBN: | 9780470012956 9780470012963 047001296x 0470012951 |
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Record in the Search Index
| _version_ | 1804133540913217536 |
|---|---|
| adam_text | THE PHYSICS OF VIBRATIONS AND WAVES SIXTH EDITION H. J. PAIN FORMERLY OF
DEPARTMENT OF PHYSICS, IMPERIAL COLLEGE OF SCIENCE AND TECHNOLOGY,
LONDON, UK JOHN WILEY & SONS, LTD CONTENTS INTRODUCTION TO FIRST EDITION
XI INTRODUCTION TO SECOND EDITION XII INTRODUCTION TO THIRD EDITION XIII
INTRODUCTION TO FOURTH EDITION XIV INTRODUCTION TO FIFTH EDITION XV
INTRODUCTION TO SIXTH EDITION XVI CHAPTER SYNOPSES XVII 1 SIMPLE
HARMONIC MOTION 1 DISPLACEMENT IN SIMPLE HARMONIC MOTION 4 VELOCITY AND
ACCELERATION IN SIMPLE HARMONIC MOTION 6 ENERGY OF A SIMPLE HARMONIC
OSCILLATOR 8 SIMPLE HARMONIC OSCILLATIONS IN AN ELECTRICAL SYSTEM 10
SUPERPOSITION OF TWO SIMPLE HARMONIC VIBRATIONS IN ONE DIMENSION 12
SUPERPOSITION OF TWO PERPENDICULAR SIMPLE HARMONIC VIBRATIONS 15
*POLARIZATION 17 SUPERPOSITION OF A LARGE NUMBER N OF SIMPLE HARMONIC
VIBRATIONS OF EQUAL AMPLITUDE A AND EQUAL SUCCESSIVE PHASE DIFFERENCE S
20 * SUPERPOSITION OF N EQUAL SHM VECTORS OF LENGTH A WITH RANDOM PHASE
22 SOME USEFUL MATHEMATICS 25 2 DAMPED SIMPLE HARMONIC MOTION 37 METHODS
OF DESCRIBING THE DAMPING OF AN OSCILLATOR 43 3 THE FORCED OSCILLATOR 53
THE OPERATION OF I UPON A VECTOR 53 VECTOR FORM OF OHM S LAW 54 THE
IMPEDANCE OF A MECHANICAL CIRCUIT 56 BEHAVIOUR OF A FORCED OSCILLATOR 57
VI CONTENTS BEHAVIOUR OF VELOCITY V IN MAGNITUDE AND PHASE VERSUS
DRIVING FORCE FREQUENCY TO 60 BEHAVIOUR OF DISPLACEMENT VERSUS DRIVING
FORCE FREQUENCY A 62 PROBLEM ON VIBRATION INSULATION 64 SIGNIFICANCE OF
THE TWO COMPONENTS OF THE DISPLACEMENT CURVE 66 POWER SUPPLIED TO
OSCILLATOR BY THE DRIVING FORCE 68 VARIATION OF P M WITH CO. ABSORPTION
RESONANCE CURVE 69 THE Q- VALUE IN TERMS OF THE RESONANCE ABSORPTION
BANDWIDTH 70 THE Q- VALUE AS AN AMPLIFICATION FACTOR 71 THE EFFECT OF
THE TRANSIENT TERM 74 4 COUPLED OSCILLATIONS 79 STIFFNESS (OR
CAPACITANCE) COUPLED OSCILLATORS 79 NORMAL COORDINATES, DEGREES OF
FREEDOM AND NORMAL MODES OF VIBRATION 81 THE GENERAL METHOD FOR FINDING
NORMAL MODE FREQUENCIES, MATRICES, EIGENVECTORS AND EIGENVALUES 86 MASS
OR INDUCTANCE COUPLING 87 COUPLED OSCILLATIONS OF A LOADED STRING 90 THE
WAVE EQUATION 95 5 TRANSVERSE WAVE MOTION 107 PARTIAL DIFFERENTIATION
107 WAVES 108 VELOCITIES IN WAVE MOTION 109 THE WAVE EQUATION 110
SOLUTION OF THE WAVE EQUATION 112 CHARACTERISTIC IMPEDANCE OF A STRING
(THE STRING AS A FORCED OSCILLATOR) 115 REFLECTION AND TRANSMISSION OF
WAVES ON A STRING AT A BOUNDARY 117 REFLECTION AND TRANSMISSION OF
ENERGY 120 THE REFLECTED AND TRANSMITTED INTENSITY COEFFICIENTS 120 THE
MATCHING OF IMPEDANCES 121 STANDING WAVES ON A STRING OF FIXED LENGTH
124 ENERGY OF A VIBRATING STRING 126 ENERGY IN EACH NORMAL MODE OF A
VIBRATING STRING 127 STANDING WAVE RATIO 128 WAVE GROUPS AND GROUP
VELOCITY 128 WAVE GROUP OF MANY COMPONENTS. THE BANDWIDTH THEOREM 132
TRANSVERSE WAVES IN A PERIODIC STRUCTURE 135 LINEAR ARRAY OF TWO KINDS
OF ATOMS IN AN IONIC CRYSTAL 138 ABSORPTION OF INFRARED RADIATION BY
IONIC CRYSTALS 140 DOPPLER EFFECT 141 6 LONGITUDINAL WAVES 151 SOUND
WAVES IN GASES 151 CONTENTS VII ENERGY DISTRIBUTION IN SOUND WAVES 155
INTENSITY OF SOUND WAVES 157 LONGITUDINAL WAVES IN A SOLID 159
APPLICATION TO EARTHQUAKES 161 LONGITUDINAL WAVES IN A PERIODIC
STRUCTURE 162 REFLECTION AND TRANSMISSION OF SOUND WAVES AT BOUNDARIES
163 REFLECTION AND TRANSMISSION OF SOUND INTENSITY 164 7 WAVES ON
TRANSMISSION LINES 171 IDEAL OR LOSSLESS TRANSMISSION LINE 173 COAXIAL
CABLES 174 CHARACTERISTIC IMPEDANCE OF A TRANSMISSION LINE 175
REFLECTIONS FROM THE END OF A TRANSMISSION LINE 177 SHORT CIRCUITED
TRANSMISSION LINE (ZL = 0) 178 THE TRANSMISSION LINE AS A FILTER 179
EFFECT OF RESISTANCE IN A TRANSMISSION LINE 183 CHARACTERISTIC IMPEDANCE
OF A TRANSMISSION LINE WITH RESISTANCE 186 THE DIFFUSION EQUATION AND
ENERGY ABSORPTION IN WAVES 187 WAVE EQUATION WITH DIFFUSION EFFECTS 190
APPENDIX 191 8 ELECTROMAGNETIC WAVES 199 MAXWELL S EQUATIONS 199
ELECTROMAGNETIC WAVES IN A MEDIUM HAVING FINITE PERMEABILITY FT AND
PERMITTIVITY E BUT WITH CONDUCTIVITY A = 0 202 THE WAVE EQUATION FOR
ELECTROMAGNETIC WAVES 204 ILLUSTRATION OF POYNTING VECTOR 206 IMPEDANCE
OF A DIELECTRIC TO ELECTROMAGNETIC WAVES 207 ELECTROMAGNETIC WAVES IN A
MEDIUM OF PROPERTIES /I, E AND A (WHERE A J= 0) 208 SKIN DEPTH 211
ELECTROMAGNETIC WAVE VELOCITY IN A CONDUCTOR AND ANOMALOUS DISPERSION
211 WHEN IS A MEDIUM A CONDUCTOR OR A DIELECTRIC? 212 WHY WILL AN
ELECTROMAGNETIC WAVE NOT PROPAGATE INTO A CONDUCTOR? 214 IMPEDANCE OF A
CONDUCTING MEDIUM TO ELECTROMAGNETIC WAVES 215 REFLECTION AND
TRANSMISSION OF ELECTROMAGNETIC WAVES AT A BOUNDARY 217 REFLECTION FROM
A CONDUCTOR (NORMAL INCIDENCE) 222 ELECTROMAGNETIC WAVES IN A PLASMA 223
ELECTROMAGNETIC WAVES IN THE IONOSPHERE 227 9 WAVES IN MORE THAN ONE
DIMENSION 239 PLANE WAVE REPRESENTATION IN TWO AND THREE DIMENSIONS 239
WAVE EQUATION IN TWO DIMENSIONS 240 VIII CONTENTS WAVE GUIDES 242 NORMAL
MODES AND THE METHOD OF SEPARATION OF VARIABLES 245 TWO-DIMENSIONAL CASE
246 THREE-DIMENSIONAL CASE 247 NORMAL MODES IN TWO DIMENSIONS ON A
RECTANGULAR MEMBRANE 247 NORMAL MODES IN THREE DIMENSIONS 250 FREQUENCY
DISTRIBUTION OF ENERGY RADIATED FROM A HOT BODY. PLANCK S LAW 251 DEBYE
THEORY OF SPECIFIC HEATS 253 REFLECTION AND TRANSMISSION OF A
THREE-DIMENSIONAL WAVE AT A PLANE BOUNDARY 254 TOTAL INTERNAL REFLECTION
AND EVANESCENT WAVES 256 10 FOURIER METHODS 267 FOURIER SERIES 267
APPLICATION OF FOURIER SINE SERIES TO A TRIANGULAR FUNCTION 274
APPLICATION TO THE ENERGY IN THE NORMAL MODES OF A VIBRATING STRING 275
FOURIER SERIES ANALYSIS OF A RECTANGULAR VELOCITY PULSE ON A STRING 278
THE SPECTRUM OF A FOURIER SERIES 281 FOURIER INTEGRAL 283 FOURIER
TRANSFORMS 285 EXAMPLES OF FOURIER TRANSFORMS 286 THE SLIT FUNCTION 286
THE FOURIER TRANSFORM APPLIED TO OPTICAL DIFFRACTION FROM A SINGLE SLIT
287 THE GAUSSIAN CURVE 289 THE DIRAC DELTA FUNCTION, ITS SIFTING
PROPERTY AND ITS FOURIER TRANSFORM 292 CONVOLUTION 292 THE CONVOLUTION
THEOREM 297 11 WAVES IN OPTICAL SYSTEMS 305 LIGHT. WAVES OR RAYS? 305
FERMAT S PRINCIPLE 307 THE LAWS OF REFLECTION 307 THE LAW OF REFRACTION
309 RAYS AND WAVEFRONTS 310 RAY OPTICS AND OPTICAL SYSTEMS 313 POWER OF
A SPHERICAL SURFACE 314 MAGNIFICATION BY THE SPHERICAL SURFACE 316 POWER
OF TWO OPTICALLY REFRACTING SURFACES 317 POWER OF A THIN LENS IN AIR
(FIGURE 11.12) 318 PRINCIPAL PLANES AND NEWTON S EQUATION 320 OPTICAL
HELMHOLTZ EQUATION FOR A CONJUGATE PLANE AT INFINITY 321 THE DEVIATION
METHOD FOR (A) TWO LENSES AND (B) A THICK LENS 322 THE MATRIX METHOD 325
CONTENTS IX 12 INTERFERENCE AND DIFFRACTION 333 INTERFERENCE 333
DIVISION OF AMPLITUDE 334 NEWTON S RINGS 337 MICHELSON S SPECTRAL
INTERFEROMETER 338 THE STRUCTURE OF SPECTRAL LINES 340 FABRY - PEROT
INTERFEROMETER 341 RESOLVING POWER OF THE FABRY - PEROT INTERFEROMETER
343 DIVISION OF WAVEFRONT 355 INTERFERENCE FROM TWO EQUAL SOURCES OF
SEPARATION/ 357 INTERFERENCE FROM LINEAR ARRAY OF N EQUAL SOURCES 363
DIFFRACTION 366 SCALE OF THE INTENSITY DISTRIBUTION 369 INTENSITY
DISTRIBUTION FOR INTERFERENCE WITH DIFFRACTION FROM N IDENTICAL SLITS
370 FRAUNHOFER DIFFRACTION FOR TWO EQUAL SLITS (N = 2 ) 372 TRANSMISSION
DIFFRACTION GRATING (N LARGE) 373 RESOLVING POWER OF DIFFRACTION GRATING
374 RESOLVING POWER IN TERMS OF THE BANDWIDTH THEOREM 376 FRAUNHOFER
DIFFRACTION FROM A RECTANGULAR APERTURE 377 FRAUNHOFER DIFFRACTION FROM
A CIRCULAR APERTURE 379 FRAUNHOFER FAR FIELD DIFFRACTION 383 THE
MICHELSON STELLAR INTERFEROMETER 386 THE CONVOLUTION ARRAY THEOREM 388
THE OPTICAL TRANSFER FUNCTION 391 FRESNEL DIFFRACTION 395 HOLOGRAPHY 403
13 WAVE MECHANICS 411 ORIGINS OF MODERN QUANTUM THEORY 411 HEISENBERG S
UNCERTAINTY PRINCIPLE 414 SCHRODINGER S WAVE EQUATION 417
ONE-DIMENSIONAL INFINITE POTENTIAL WELL 419 SIGNIFICANCE OF THE
AMPLITUDE T/F N (X) OF THE WAVE FUNCTION 422 PARTICLE IN A
THREE-DIMENSIONAL BOX 424 NUMBER OF ENERGY STATES IN INTERVAL E TO E +
AE 425 THE POTENTIAL STEP 426 THE SQUARE POTENTIAL WELL 434 THE HARMONIC
OSCILLATOR 438 ELECTRON WAVES IN A SOLID 441 PHONONS 450 14 NON-LINEAR
OSCILLATIONS AND CHAOS 459 FREE VIBRATIONS OF AN ANHARMONIC OSCILLATOR -
LARGE AMPLITUDE MOTION OF A SIMPLE PENDULUM 459 X CONTENTS FORCED
OSCILLATIONS - NON-LINEAR RESTORING FORCE 460 THERMAL EXPANSION OF A
CRYSTAL 463 NON-LINEAR EFFECTS IN ELECTRICAL DEVICES 465 ELECTRICAL
RELAXATION OSCILLATORS 467 CHAOS IN POPULATION BIOLOGY 469 CHAOS IN A
NON-LINEAR ELECTRICAL OSCILLATOR 477 PHASE SPACE 481 REPELLOR AND LIMIT
CYCLE 485 THE TORUS IN THREE-DIMENSIONAL (X, X, T) PHASE SPACE 485
CHAOTIC RESPONSE OF A FORCED NON-LINEAR MECHANICAL OSCILLATOR 487 A
BRIEF REVIEW 488 CHAOS IN FLUIDS 494 RECOMMENDED FURTHER READING 504
REFERENCES 504 15 NON-LINEAR WAVES, SHOCKS AND SOLITONS 505 NON-LINEAR
EFFECTS IN ACOUSTIC WAVES 505 SHOCK FRONT THICKNESS 508 EQUATIONS OF
CONSERVATION 509 MACH NUMBER 510 RATIOS OF GAS PROPERTIES ACROSS A SHOCK
FRONT 511 STRONG SHOCKS 512 SOLITONS 513 BIBLIOGRAPHY 531 REFERENCES 531
APPENDIX 1: NORMAL MODES, PHASE SPACE AND STATISTICAL PHYSICS 533
MATHEMATICAL DERIVATION OF THE STATISTICAL DISTRIBUTIONS 542 APPENDIX 2:
KIRCHHOFPS INTEGRAL THEOREM 547 APPENDIX 3: NON-LINEAR SCHRODINGER
EQUATION 551 INDEX 552
|
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| id | DE-604.BV019993589 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:10:21Z |
| institution | BVB |
| isbn | 9780470012956 9780470012963 047001296x 0470012951 |
| language | English |
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| physical | XX, 556 S. Ill., graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Wiley |
| record_format | marc |
| spelling | Pain, Herbert J. Verfasser aut The physics of vibrations and waves H. J. Pain 6. ed. Chichester [u.a.] Wiley 2005 XX, 556 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ondes Vibration Waves Mechanische Schwingung (DE-588)4138305-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Welle (DE-588)4065310-9 gnd rswk-swf Welle (DE-588)4065310-9 s DE-604 Schwingung (DE-588)4053999-4 s Mechanische Schwingung (DE-588)4138305-9 s 1\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013315440&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pain, Herbert J. The physics of vibrations and waves Ondes Vibration Waves Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd Welle (DE-588)4065310-9 gnd |
| subject_GND | (DE-588)4138305-9 (DE-588)4053999-4 (DE-588)4065310-9 |
| title | The physics of vibrations and waves |
| title_auth | The physics of vibrations and waves |
| title_exact_search | The physics of vibrations and waves |
| title_full | The physics of vibrations and waves H. J. Pain |
| title_fullStr | The physics of vibrations and waves H. J. Pain |
| title_full_unstemmed | The physics of vibrations and waves H. J. Pain |
| title_short | The physics of vibrations and waves |
| title_sort | the physics of vibrations and waves |
| topic | Ondes Vibration Waves Mechanische Schwingung (DE-588)4138305-9 gnd Schwingung (DE-588)4053999-4 gnd Welle (DE-588)4065310-9 gnd |
| topic_facet | Ondes Vibration Waves Mechanische Schwingung Schwingung Welle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013315440&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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