Propagation of sound in porous media: modelling sound absorbing materials
Gespeichert in:
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| Format: | Buch |
| Sprache: | English |
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London [u.a.]
Elsevier Applied Science
1993
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| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 284 S. graph. Darst. |
| ISBN: | 185166887X |
Internformat
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| 245 | 1 | 0 | |a Propagation of sound in porous media |b modelling sound absorbing materials |c J. F. Allard |
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| adam_text | PROPAGATION OF SOUND IN POROUS MEDIA MODELLING SOUND ABSORBING MATERIALS
J. F. ALLARD LABORATOIRE D ACOUSTIQUE DE * UNIVERSITE DU MAINE, LE MANS,
FRANCE ELSEVIER APPLIED SCIENCE LONDON AND NEW YORK CONTENTS PREFACE V
CHAPTER 1 PLANE WAVES IN ISOTROPIE FLUIDS AND SOLIDS 1.1 INTRODUCTION 1
1.2 NOTATIONS*VECTOR OPERATORS 1 1.3 STRAIN IN A DEFORMABLE MEDIUM 2 1.4
STRESS IN A DEFORMABLE MEDIUM 4 1.5 STRESS-STRAIN RELATIONS FOR AN
ISOTROPIC ELASTIC MEDIUM . 6 1.6 EQUATION OF MOTION 9 1.7 WAVE EQUATION
IN A FLUID 10 1.8 WAVE EQUATIONS IN AN ELASTIC SOLID 12 1.9 POTENTIAL
AND KINETIC ENERGY IN CONTINUOUS MEDIA . . 14 CHAPTER 2 ACOUSTIC
IMPEDANCE AT NORMAL INCIDENCE OF FLUIDS, AND HIGHLY POROUS MATERIALS 2.1
INTRODUCTION 16 2.2 PLANE WAVES IN UNBOUNDED FLUIDS 16 2.2.1 TRAVELLING
WAVES 16 2.2.2 COMPLEX NOTATION 17 2.2.3 EXAMPLE 18 2.2.4 ATTENUATION 18
2.2.5 SUPERPOSITION OF TWO WAVES PROPAGATING IN OPPO- SITE DIRECTIONS 18
2.3 MAIN PROPERTIES OF IMPEDANCE AT NORMAL INCIDENCE . 19 2.3.1
IMPEDANCE VARIATION ALONG A DIRECTION OF PROPAGA- TION 19 2.3.2
IMPEDANCE AT NORMAL INCIDENCE OF A LAYER OF FLUID BACKED BY AN
IMPERVIOUS RIGID WALL . . . . 20 2.3.3 IMPEDANCE AT NORMAL INCIDENCE OF
A MULTILAYERED FLUID 21 VII VIII CONTENTS 2.4 REFLECTION COEFFICIENT AND
ABSORPTION COEFFICIENT AT NORMAL INCIDENCE 21 2.4.1 REFLECTION
COEFFICIENT 21 2.4.2 ABSORPTION COEFFICIENT 22 2.5 FLUIDS EQUIVALENT TO
POROUS MATERIALS WITH HIGH POROSITY: THE LAWS OF DELANY AND BAZLEY 23
2.5.1 POROSITY AND FLOW RESISTIVITY IN POROUS MATERIALS . 23 2.5.2
MICROSCOPIC AND MACROSCOPIC DESCRIPTION OF SOUND PROPAGATION IN POROUS
MEDIA 24 2.5.3 THE LAWS OF DELANY AND BAZLEY, AND FLOW RESIS- TIVITY 25
2.6 EXAMPLES . 26 2.7 THE COMPLEX EXPONENTIAL REPRESENTATION . . . . 27
CHAPTER 3 ACOUSTIC IMPEDANCE AT OBLIQUE INCIDENCE IN FLUIDS, AND HIGHLY
POROUS MATERIALS 3.1 INTRODUCTION 31 3.2 INHOMOGENEOUS PLANE WAVES IN
ISOTROPIC FLUIDS . . . 3 1 3.3 REFLECTION AND REFRACTION AT OBLIQUE
INCIDENCE . . . 34 3.4 IMPEDANCE AT OBLIQUE INCIDENCE IN ISOTROPIC
FLUIDS . . 35 3.4.1 IMPEDANCE VARIATION ALONG A DIRECTION PERPEN-
DICULAR TO AN IMPEDANCE PLANE 35 3.4.2 IMPEDANCE AT OBLIQUE INCIDENCE
FOR A LAYER OF FLUID OF FINITE THICKNESS BACKED BY AN IMPERVIOUS RIGID
WALL 37 3.4.3 IMPEDANCE AT OBLIQUE INCIDENCE IN A MULTILAYERED FLUID 38
3.5 REFLECTION COEFFICIENT AND ABSORPTION COEFFICIENT AT OBLIQUE
INCIDENCE 39 3.6 EXAMPLES 40 3.7 PLANE WAVES IN FLUIDS EQUIVALENT TO
ANISOTROPIC HIGHLY POROUS MEDIA 42 3.8 IMPEDANCE AT OBLIQUE INCIDENCE AT
THE SURFACE OF A FLUID EQUIVALENT TO AN ANISOTROPIC POROUS MATERIAL . .
. 45 3.9 EXAMPLE 46 CHAPTER 4 SOUND PROPAGATION IN CYLINDRICAL TUBES AND
POROUS MATERIALS HAVING CYLINDRICAL PORES 4.1 INTRODUCTION 48 4.2
VISCOSITY EFFECT IN A CYLINDRICAL TUBE 48 CONTENTS IX 4.3 THERMAL
EFFECTS 53 4.4 EFFECTIVE DENSITY AND BULK MODULUS FOR CYLINDRICAL TUBES
HAVING TRIANGULAR, RECTANGULAR AND HEXAGONAL CROSS- SECTIONS 58 4.5 HIGH
AND LOW FREQUENCY APPROXIMATION . . . . 59 4.6 EVALUATION OF THE
EFFECTIVE DENSITY AND THE BULK MODULUS OF THE AIR FROM FLOW RESISTIVITY
AND POROSITY, IN LAYERS OF POROUS MATERIALS WITH IDENTICAL PORES
PERPENDICULAR TO THE SURFACE 62 4.6.1 EFFECTIVE DENSITY IN CYLINDRICAL
PORES HAVING A CIRCULAR CROSS-SECTION 62 4.6.2 EFFECTIVE DENSITY IN
SLITS 64 4.6.3 THE BIOT MODEL FOR RIGID FRAMED MATERIALS . . 65 4.6.4
BULK MODULUS OF THE AIR IN SLITS 66 4.6.5 EFFECTIVE DENSITY AND BULK
MODULUS OF AIR IN CYLINDRICAL PORES OF ARBITRARY CROSS-SECTIONAL SHAPE
67 4.7 IMPEDANCE OF A LAYER WITH IDENTICAL PORES PERPENDICULAR TO THE
SURFACE 69 4.7.1 NORMAL INCIDENCE 69 4.7.2 OBLIQUE INCIDENCE*LOCALLY
REACTING MATERIALS 70 4.8 TORTUOSITY AND FLOW RESISTIVITY IN A SIMPLE
ANISOTROPIC MATERIAL 71 4.9 IMPEDANCE AT NORMAL INCIDENCE AND SOUND
PROPAGATION IN A MATERIAL WITH OBLIQUE PORES 73 4.9.1 EFFECTIVE DENSITY
73 4.9.2 BULK MODULUS OF THE AIR IN THE MATERIAL . . . 75 4.9.3
IMPEDANCE 75 4.9.4 SUMMARY OF SECTION 4.9 76 CHAPTER 5 SOUND PROPAGATION
IN POROUS MATERIALS HAVING A RIGID FRAME 5.1 INTRODUCTION 79 5.2 THE
CONCEPT OF TORTUOSITY IN THE WORK BY JOHNSON ET AL. . 79 5.3
CHARACTERISTIC DIMENSION FOR VISCOUS FORCES . . . . 82 5.4
CHARACTERISTIC DIMENSION FOR THE BULK MODULUS OF THE AIR IN A POROUS
MATERIAL 84 5.5 GENERAL EXPRESSION OF THE EFFECTIVE DENSITY . . . . 87
5.6 FREQUENCY DEPENDENCE OF THE BULK MODULUS OF THE AIR IN POROUS
MATERIALS 90 5.6.1 MATERIALS WITH CYLINDRICAL PORES . . . . 90 X
CONTENTS 5.8.2 5.8.3 5.6.2 OTHER POROUS MATERIALS 90 5.6.3 SHAPE FACTORS
AND DIMENSION FACTORS . . . 92 5.7 SUMMARY OF THE TWO EQUIVALENT
FORMULATIONS FOR THE EFFECTIVE DENSITY P AND THE BULK MODULUS * . . .
92 5.8 EXAMPLES 93 5.8.1 POROUS MATERIAL HAVING PORES MADE UP OF AN
ALTERNATING SEQUENCE OF CIRCULAR CROSS-SECTIONAL SHAPED CYLINDERS OF TWO
DIFFERENT DIAMETERS OTHER MATERIALS . FIBROUS MATERIALS . 5.9 SIMPLE
MODELS 5.9.1 THE MODEL OF ATTENBOROUGH 5.9.2 THE MODEL OF ALLARD ET AL.
. 5.10 SURFACE IMPEDANCE . . . . APPENDIX 5.A KINETIC ENERGY AND
TORTUOSITY SIMPLIFIED CALCULATION OF THE TORTUOSITY FOR A POROUS
MATERIAL HAVING PORES MADE UP OF AN ALTERNATING SEQUENCE OF CYLIN DERS
FLOW IN A SLIT CALCULATION OF THE CHARACTERISTIC DIMEN SION * 115
CALCULATION OF THE CHARACTERISTIC DIMEN SION A FOR A CYLINDER
PERPENDICULAR TO THE DIRECTION OF PROPAGATION . . .115 APPENDIX 5.*
APPENDIX 5.* APPENDIX 5.D APPENDIX 5.E 93 96 96 105 105 106 107 111 113
114 CHAPTER 6 BIOT THEORY OF SOUND PROPAGATION IN POROUS MATERIALS
HAVING AN ELASTIC FRAME 6.1 INTRODUCTION 118 6.2 STRESS AND STRAIN IN
POROUS MATERIALS 119 6.2.1 STRESS 119 6.2.2 STRAIN 119 6.2.3
STRESS-STRAIN RELATIONS IN THE BIOT THEORY. THE POTENTIAL COUPLING TERM
119 6.2.4 A SIMPLE EXAMPLE 122 6.2.5 DETERMINATION OF P, Q AND R 124
6.2.6 COMPARISON WITH PREVIOUS MODELS OF SOUND PROP AGATION IN POROUS
SOUND ABSORBING MATERIALS . . 124 6.3 INERTIAL FORCES IN THE BIOT THEORY
125 CONTENTS XI 6.4 WAVE EQUATIONS 127 6.5 THE TWO COMPRESSIONAL WAVES
AND THE SHEAR WAVE . . 129 6.5.1 THE TWO COMPRESSIONAL WAVES 129 6.5.2
THE SHEAR WAVE 131 6.5.3 THE THREE BIOT WAVES IN ORDINARY AIR-SATURATED
POROUS MATERIALS 132 6.5.4 EXAMPLE 133 6.6 PREDICTION OF SURFACE
IMPEDANCE AT NORMAL INCIDENCE FOR A LAYER OF POROUS MATERIAL BACKED BY
AN IMPERVIOUS RIGID WALL 136 6.6.1 INTRODUCTION 136 6.6.2 PREDICTION OF
THE SURFACE IMPEDANCE AT NORMAL INCIDENCE 137 6.6.3 EXAMPLE 139 CHAPTER
7 PREDICTION OF SURFACE IMPEDANCE AND SOUND TRANSMISSION FOR
MULTILAYERED POROUS MEDIA 7.1 INTRODUCTION 145 7.2 SOUND PROPAGATION IN
A POROUS LAYER AT OBLIQUE INCIDENCE 145 7.2.1 THE ACOUSTIC FIELD IN A
LAYER OF POROUS MATERIAL AT OBLIQUE INCIDENCE 145 7.2.2 THE MATRIX
REPRESENTATION 147 7.2.3 EVALUATION OF THE MATRICES [*] AND [T] . . .
148 7.3 TRANSFER MATRIX REPRESENTATION OF A LAYERED MATERIAL . 151 7.4
SURFACE IMPEDANCE AT OBLIQUE INCIDENCE OF MATERIALS CONSISTING OF
SEVERAL POROUS LAYERS 153 7.4.1 EVALUATION OF THE SURFACE IMPEDANCE FROM
THE TRANSFER MATRIX ELEMENTS 153 7.4.2 EXAMPLES: MATERIALS WITH POROUS
SCREENS . . 155 7.5 MATERIALS WITH IMPERVIOUS SCREENS 161 7.6 SOUND
PROPAGATION IN MATERIALS INCLUDING LAYERS OF ELASTIC SOLIDS AND FLUIDS .
165 7.7 SOUND TRANSMISSION OF PLANE WAVES THROUGH LAYERED MATERIALS 168
APPENDIX 7.A THE ELEMENTS T TJ OF THE TRANSFER MATRIX [T] 177 APPENDIX
7.* TRANSMISSION THROUGH A PLATE-POROUS- MATERIAL-PLATE STRUCTURE . . .
. 181 XII CONTENTS CHAPTER 8 ACOUSTIC FIELD CREATED BY MONOPOLE AND
DIPOLE SOURCES IN THE PRESENCE OF POROUS LAYERS 8.1 INTRODUCTION 186 8.2
SOMMERFELD DECOMPOSITION FOR MONOPOLE SOURCES AND AT-WAVES 187 8.3
ACOUSTIC FIELD CREATED BY A POINT SOURCE IN AIR ABOVE A LAYER OF RIGID
FRAMED POROUS MATERIAL 190 8.4 AXISYMMETRICAL FIELD IN A POROUS LAYER
HAVING AN ELASTIC FRAME 194 8.4.1 VELOCITIES AND STRESSES 194 8.4.2 THE
MATRIX REPRESENTATION 197 8.5 ACOUSTIC FIELD CREATED BY MONOPOLE AND
DIPOLE SOURCES ABOVE STRATIFIED POROUS MEDIA 201 CHAPTER 9 METHODS OF
MEASURING THE ACOUSTIC IMPEDANCE 9.1 THE KUNDT TUBE 207 9.1.1
INTRODUCTION 207 9.1.2 SOUND PROPAGATION IN THE KUNDT TUBE . . . 207
9.1.3 MEASUREMENT OF REFLECTION COEFFICIENT AND IM- PEDANCE WITH THE
KUNDT TUBE 210 9.1.4 THE TMCT METHOD 210 9.1.5 LIMITATIONS 211 9.2
FREE-FIELD MEASUREMENT IN A PLANE ACOUSTIC FIELD . . 212 9.3 LIMITATIONS
OF THE FREE-FIELD METHOD*THE USE OF A POINT SOURCE CLOSE TO THE MATERIAL
213 9.4 THE USE OF TWO-DIMENSIONAL SPATIAL TRANSFORMS . . 215 CHAPTER 10
POROUS MATERIALS WITH PERFORATED FACINGS 10.1 INTRODUCTION 220 10.2
INERTIAL EFFECT AND FLOW RESISTANCE 220 10.2.1 INERTIAL EFFECT 220
10.2.2 CALCULATION OF THE ADDED MASS AND THE ADDED LENGTH 221 10.2.3
FLOW RESISTANCE 225 10.2.4 APERTURES HAVING A SQUARE CROSS-SECTION . .
226 10.3 IMPEDANCE AT NORMAL INCIDENCE OF A LAYERED POROUS MATERIAL
COVERED BY A PERFORATED FACING*HELMHOLTZ RESONATOR 228 10.3.1 EVALUATION
OF THE IMPEDANCE FOR THE CASE OF CIRCULAR HOLES 228 CONTENTS XIII 10.3.2
EVALUATION AT NORMAL INCIDENCE OF THE IMPEDANCE FOR THE CASE OF SQUARE
HOLES 233 10.3.3 EXAMPLES 234 10.3.4 DESIGN OF STRATIFIED POROUS
MATERIALS COVERED BY PERFORATED FACINGS 238 10.3.5 HELMHOLTZ RESONATORS
240 10.4 IMPEDANCE AT OBLIQUE INCIDENCE OF A LAYERED POROUS MATERIAL
COVERED BY A FACING HAVING CIRCULAR PERFORATIONS 244 10.4.1 EVALUATION
OF THE IMPEDANCE IN A HOLE AT THE BOUNDARY SURFACE BETWEEN THE FACING
AND THE MATERIAL 244 10.4.2 EVALUATION OF THE EXTERNAL ADDED LENGTH AT
OBLIQUE INCIDENCE 249 10.4.3 EVALUATION OF THE IMPEDANCE OF A FACED
POROUS LAYER AT OBLIQUE INCIDENCE 251 10.4.4 EVALUATION OF THE SURFACE
IMPEDANCE AT OBLIQUE INCIDENCE FOR THE CASE OF SQUARE PERFORATIONS. 252
CHAPTER 11 IMPEDANCE AND ADMITTANCE MATRICES, SOUND TRANSMIS- SION
THROUGH LAYERED POROUS MEDIA AND RECIPROCITY 11.1 INTRODUCTION 254 11.2
SIMPLE LAYERS 257 11.3 TRANSMISSION THROUGH LAYERED MATERIALS WITH THE
SAME FLUID IN CONTACT WITH THE FRONT AND THE REAR FACE. . 261 11.3.1
LAYERED ELASTIC SOLID 261 11.3.2 LAYERED ELASTIC SOLID IN CONTACT WITH
AN INVISCID FLUID 262 11.3.3 SEVERAL POROUS LAYERS IN CONTACT . . . .
264 11.3.4 POROUS LAYERED MEDIUM IN AIR 266 11.3.5 POROUS MATERIAL
BONDED ON TO AN ELASTIC LAYER IN AN INVISCID FLUID 268 11.3.6 POROUS
MATERIAL BONDED ONTO A PLATE . . 274 INDEX 279
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:13Z |
| institution | BVB |
| isbn | 185166887X |
| language | English |
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| owner_facet | DE-634 |
| physical | XIII, 284 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Elsevier Applied Science |
| record_format | marc |
| spelling | Allard, J. F. Verfasser aut Propagation of sound in porous media modelling sound absorbing materials J. F. Allard London [u.a.] Elsevier Applied Science 1993 XIII, 284 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Schalldämmung (DE-588)4052023-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Schalldämmung (DE-588)4052023-7 s Mathematisches Modell (DE-588)4114528-8 s Poröser Stoff (DE-588)4046811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017448462&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Allard, J. F. Propagation of sound in porous media modelling sound absorbing materials Poröser Stoff (DE-588)4046811-2 gnd Schalldämmung (DE-588)4052023-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4052023-7 (DE-588)4114528-8 |
| title | Propagation of sound in porous media modelling sound absorbing materials |
| title_auth | Propagation of sound in porous media modelling sound absorbing materials |
| title_exact_search | Propagation of sound in porous media modelling sound absorbing materials |
| title_full | Propagation of sound in porous media modelling sound absorbing materials J. F. Allard |
| title_fullStr | Propagation of sound in porous media modelling sound absorbing materials J. F. Allard |
| title_full_unstemmed | Propagation of sound in porous media modelling sound absorbing materials J. F. Allard |
| title_short | Propagation of sound in porous media |
| title_sort | propagation of sound in porous media modelling sound absorbing materials |
| title_sub | modelling sound absorbing materials |
| topic | Poröser Stoff (DE-588)4046811-2 gnd Schalldämmung (DE-588)4052023-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Poröser Stoff Schalldämmung Mathematisches Modell |
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