Acoustics - Basic Physics, Theory And Methods (Paul Filippi).pdf
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Contents
Ch.pt~
I.
1'h,'ilkIIl BaM of A<'6U511a ...•........•................ I
Jl'Un-Pinrl' Uftb.rl'
IntroductIOn
I I,
~YW
of
IIlt'JCMIUaI
of
coal/nUll
I I 1 COMm'.IIon cquauons
1.1.2. Slllle equaOOl1
1.1.3. ComUlllu\-r C(jWiuons
1.1.4.
Equauons at d'!IOOnlinulues •.....•
1.2. Elementary 1tCQUS1ICS . .••....•••.••• • . . . • • . . • ....•.
1.2.1. lmcarizallon for a lossleu
homogenwuJ
sleady simple
nllid
1.2.2.
Equations for entropy
and voniclly: Fundamental chal'llClcr
of
arousue mouon .•
I 2.3, EqwlUooS for
JlRSWI'1'
.nd
olber RCOUSI.. qUllnu!te'S;
Wnr equal/ORI
1
12
12
U.s.
Aoowtic
meru.
_Ie
InlmJlty
II
14
1.2.4. Vdoclly pc:MmoaJ •
16
1.2.6.
~I
solutIOns of
the ,'..
ave equatIOn In free Sp;ICC 20
1.2.1. HarmonK:
"'ll"C$ ,. •••• • • ••• •
2S
1.2.8. Acoustic
$QlIrces . . . .. . ..••...•••.......•••..••••••
27
1.2.9. Boundary «Ind,IlOns . .
'
27
1.2.10. UnllJ.
orden
of magnnudc
. . •
13
1.2.11
Pfffeelps
... "
34
I.J. EkmmlllJ)'
-.:>oustJCt
of
IObds:
ElemmIaJ)'
dulJl:
WIlla
}4
1.3.'
LlIIaru::lUon for lIlllSOUOpOt".
~
purdyelastx:
""'"
U.2. Compre5SlOn/CAplIll$Ion WllIU ..
nd
$hear/dl$lonioo ....
'"e5
"
1.3.3. PlaM
,"'a'"a:
Longnudmal and lrans''l:l'X
w;l\U • •
• ••.•••••
37
1.3,4. Ordcr$Qrmalln,I\ldc
,
,
37
U.S. General behaviour
. . . . . . . . . . .. .
38
1,4 ConclUSIon
• • • . . . 38
8lbllosraphy
••
38
I
I
2
3S
Contents
Ch.pt~
I.
1'h,'ilkIIl BaM of A<'6U511a ...•........•................ I
Jl'Un-Pinrl' Uftb.rl'
IntroductIOn
I I,
~yw
of
IIlt'JCMIUaI
of
coal/nUll
I I 1 COMm'.IIon cquauons
1.1.2. Slllle equaOOl1
1.1.3. ComUlllu\-r C(jWiuons
1.1.4.
Equauons at d'!IOOnlinulues •.....•
1.2. Elementary 1tCQUS1ICS . .••....•••.••• • . . . • • . . • ....•.
1.2.1. lmcarizallon for a lossleu
homogenwuJ
sleady simple
nllid
1.2.2.
Equations for entropy
and voniclly: Fundamental chal'llClcr
of
arousue mouon .•
I
2.J.
EqwlUooS for
JlRSWI'1'
.nd
olber RCOUSI.. qUllnu!te'S;
Wnr equal/ORI
10
12
12
U.s.
Aoowtic
meru.
_Ie
InlmJlty
II
14
1.2.4. Vdoclly pc:MmoaJ •
16
1.2.6.
~I
solutIOns of
the ,'..
ave equatIOn In free Sp;ICC 20
1.2.1. HarmonK:
"'ll"C$ ,. •••• • • ••• •
2S
1.2.8. Acoustic
$QlIrces . . . .. . ..••...•••.......•••..••••••
27
1.2.9. Boundary «Ind,IlOns . .
'
27
1.2.10. UnllJ.
orden
of magnnudc
. . •
13
1.2.11
Pfffeelps
... "
34
I.J. EkmmlllJ)'
-.:>oustJCt
of
IObds:
ElemmIaJ)'
dulJl:
WIlla
}4
1.3.'
LlIIaru::lUon for lIlllSOUOpOt".
~
purdyelastx:
""'"
U.2. Compre5SlOn/CAplIll$Ion WllIU ..
nd
$heatldl$lonioo ....
'"e5
"
1.3.3. PlaM
,"'a'"a:
Longnudmal and lrans''l:l'X
w;l\U • •
• ••.•••••
37
1.3,4. Ordcr$Qrmalln,I\ldc
,
,
37
U.S. General behaviour
. . . . . . . . . . .. .
38
1,4 ConclUSIon
• • • . . . 38
8lbllosraphy
••
38
I
I
2
,
3S
aupftl'
2.
AcooNQ of t:-dcMns
P/lul J,T.
Filippi
..
IntrodllCllon
2.1
Gaw:nJ
S~tnrw:tlt
of
~
,*obleal
2.1
l. 'T'M '"
ftjuaUOll
2. I .2.
'T'M
H
hnholtz ftjualtOn
2.1.3. Boundary
rendluon for harmOniC regJlII<'S •••. . ....
2.1 4
EJl<'nmode$ and e1l<'nfmjUl.'ncies. condition for
e~lstence
and
IIllJQlICllCV
of
the tollltlOO
2.1.
SoIlnd
ftdd IMKk a p3.l1llldqwpcdoc
~
f= OIcillauons
and
"
.
..
.............
2.2.1
EI~fmjun>acS
and ....aenmodcs for lhe l'o"'lImann ploblcm
2.2.2.
RC$Onancc fmjlleocl<'S and resonance
modes
For the Robin
ptoblcm
2.D Foroed
I'C'Jlme
for the Nromann
p10blcm
....,mmodcs
senc:s
upallSIOtI
of
~
solllUOll
2.2.4 foroed
I'C'JI"'"
for the Roblll ptoblnn;
up;uuoon
Into a _
of
the "'Ip:nmodc:s of the
Laplace
operator
2.3.
TranslCnl phenomena re''CrbcrJtion ume ... . .. ,. . ...
2..11. A
SImple one-dlmcnsional
example'
lIateme1l1 of the problem
2.3 2.
Ei&mJnodcs
upllUlOn
of
the
501111101'I
2.3.3
'T'M
'bounlbry _roes'
IIlC'tbod
2.3"
Doe$cnptlon
of
_lid
cstablDbmcnt by a
xnn
of
I~''C
rencetlon,
63
, . "
•• , •
..
2.3.~.
Sallnd dec ..
y
reverberation
Imle
23.6
R.....'CrbenllJOn lIme
m
a
room
D.7.
'T'M formula
ofSab..
~
2.4
ACOUIhC rtdd llISldc a
arcuw
mdoslll'r Introdunton to the metbod
of K'piIrtltlOll of
VlIN~
2.4.1.
Dl:termmauon of the elscnrn"""" of the problem
2
4.2.
R<"J'!rcscnlatJOn of lhe solllllOn of ftjuallon
(2.77)
u
a
5C1lCli
of
1M
C11C'lJ1l(ldcs
2 "3
The
mcIbod
of
xparalKlCl
of
.-an.a~
2.$. ElIdoiltJrft bounded by
pla ......
wrfac:a;
,ntrodunlOll 10 lhe
method
of
11
11
.=...
71
77
251.
Rel1ccuon of a
~phcrlcal
"'a"e
by
an Infinll\: plane; the
'plane "........ and the 'JCOmelncaJ 1ICOU.\11Cl· apprOJ"maholls
2.5.2. Foroed
~me
In a poI)hedraJ coclosul'<"
sme
rcpocsmtatlOll
of
the
nsponsoe
by lhe
'rRaF
method
2.6. GencnJ
cue:
lDttOOlICbOn
to
~
Grur!'s
ItjHCSCnUl!JOll
of
arollll.... fdo;b
26.1
G-..·s reprecntauon of the acoustIC prtSllure
2.6.2.
Slmpl\: layer and double layer potenlla], •. .
2.63 Boundary
Illlegnl ftjlllt>ons assoaalro ..,th the GI"CC1I·.
rqlftSCIlUll>Oll
of
tbe
praIlll'<'
rtdd
Bibbop-apb)
77
..... 85
OJ
"
87
.
"
66
61
..
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