porous material parameters influencing the acoustic ... · pdf fileporous material parameters...
TRANSCRIPT
Porous material parameters influencing theacoustic performances of building construction
systems
Rémy FORET, Catherine GUIGOU-CARTER, Jean-BaptisteCHENE
CSTB – Center for Building Science and Technology
Introduction
Porous materials are omnipresent in construction domain:thermal and acoustic properties and…
Function of their purpose:Absorption
Airborne sound transmission
Impact sound transmission
Installation: bonded or not, visible or not
Difficult characterization of the paramaters
Introduction
GOAL: determine the poro-elastic parameters of porousmaterials influencing the acoustic performances
Generalized Biot-Johnson model (Biot-Johnson-Champoux-Allard): used for the description of sound propagation withinporous material:
A fluid
An elastic skeleton
Summary
Introduction1. Project description
a) General descriptionb) Measurement methodsc) Prediction methods
2. Prediction of acoustic performancesa) Sound reduction index Rb) Impact noise level Lnc) Sound absorption coefficient
3. Parametric study on study casesa) The partition wallb) The underlay system under ceramic tilesc) The glass wool
Conclusions
2. Project descriptiona. General description
Model parameters are divided into 2 categories: elastic ANDacoustic parameters.
Biot model (1956)(solid & fluid and their
interactions)
Biphasic model
Acoustic paramters, , , , ’
Elastic paramtersE, , ,
Mechanical Acoustic
Solid equivalent model(solid phase)
Fluid equivalent model(phase fluide et de ses
interactions avec la phase solide)
2. Project descriptiona. General description
Parameters :Porosity [_]
Tortuosity [_]
Airflow resistivity [k.N.s/m4]
Viscous characteristic length [m]
Thermal characteristic length ’ [m]
Young’s modulus E [N.m-2]
Poisson ratio [_]
Density [kg.m-3]
Structural loss factor [_]
2. Project descriptionb. Measurement method
Measurement on « systems » carried out in CSTB acousticslaboratory (LABE)
Sound reduction index RISO 140-3
ISO 717-1
Impact noise level Ln
ISO 140-8
ISO 717-2
Sound absorption coefficient ISO 354
ISO 11654
Ac
ou
stic
pe
rform
an
ce
s
2. Project descriptionb. Measurement method
Measurements on materials carried out in laboratory
Airflow resisitivityEN 29053
Dynamic stiffnessISO 9052-1
Structural loss factor
ISO 9052-1
Bending stiffness modulusISO/PAS 16140 adpatation
Po
ro-e
las
ticp
ara
me
ters
2. Project descriptionc. Prediction method
Multilayered structuresTMM (Transfer Matrix Method), AcouSYS (CASC) software (CSTB)
Finite dimensionsSpatial windowing
Vibratory shortcuts
Low frequencies: wave approach
Mid- & high- frequencies : SEA method
2. Prediction of acoustiques performancesa. Sound reduction index R
Studied system: partition wall on single frame « 72/48 » partitionwall
BA13 plasterboard
BA13 plasterboard
Glass wool
12.5 mm
12.5 mm
45 mm
Stud
Screws
Multilayer descriptionThe system
Plasterboard
Mineral wool
Plasterboards
0
10
20
30
40
50
60
70
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
So
un
dre
du
ctio
nin
de
xR
(dB
)
Frequency (Hz)
Prediction - 72/48
Computation - 72/48
2. Prediction of acoustic performancesa. Sound reduction index R
Measurement/prediction comparison
BA13 plasterboard
BA13 plasterboard
Glass wool
12.5 mm
12.5 mm
45mm
Stud
Screws
Rw(C) in dB
Calculated 41(-3)
Measured 41(-2)
2. Prediction of acoustiques performancesb. Impact noise level Ln
Studied system: underlay under ceramic tiles
Ceramic tiles + mortarUnderlay
Concrete
8 mm
140 mm
11 mm
Multilayer descriptionThe system
Ceramic tiles Mortar cement
Underlay
Glue
Concrete
-10
0
10
20
30
40
50
60
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Imp
rov
em
en
to
fim
pa
ctn
ois
ele
ve
lL
(dB
)
Frequency (Hz)
Prediction - Underlay (nu=0.0)
Prediction - Underlay (nu=0.4)
Measurement - Underlay
2. Prediction of acoustic performancesb. Impact noise level Ln
Prediction/measurement comparison
Ceramic tiles +mortar
Underlay
Concrete
8 mm
140 mm
11 mm
Lw in dB
Calculated 13
Measured 12
2. Prediction of acoustic performancesc. Sound absorption coefficient
Studied system: glass wool
Multilayer descriptionThe system
45 mmGlass wool
0.0
0.2
0.4
0.6
0.8
1.0
1.2
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
So
un
da
bso
rpti
on
coe
ffic
ien
t
(dB
)
Frequency (Hz)
Prediction - Glass wool
Measurement - Glass wool
2. Prediction of acoustic performancesc. Sound absorption coefficient
Studied system: glass wool
45mm
Glasswool
w
Calculated 0.80
Measured 0.95
Diffuse sound field
3. Parametric studyPreliminary
Independant variation of parameters
Impact assessed on the frequency range 100-5000 Hz
Impact assessed on overall weighted index:Rw(C;Ctr)
Lw
w
Contribution of parameters evaluated using design ofexperiments: Taguchi method
3. Parametric studya. The partition wall (R)
Values of the parameters considered
Remark: vibratory shortcuts are not taken into account
Parameters Values
0.58, 0.68, 0.78, 0.88, 0.98*
(kN.s/m4) 5, 10, 15*, 20, 25
1.0*, 1.2, 1.4, 1.6, 1.8
(m) 40, 60, 80*, 100, 120
’ (m) 2’
1 (kg.m-3) 10, 15*, 20, 25, 30
E (kN.m-2) 25, 50*, 75, 100, 125
0.0
s 0.05, 0.10, 0.15*, 0.20, 0.25
0
10
20
30
40
50
60
70
80
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
red
uct
ion
ind
ex
R(d
B)
Frequency (Hz)
Prediction - phi=0.58 -Rw+C=32 dB
Prediction - phi=0.68 -Rw+C=33 dB
Prediction - phi=0.78 -Rw+C=33 dB
Prediction - phi=0.88 -Rw+C=34 dB
Prediction - phi=0.98 -Rw+C=34 dB
3. Parametric studya. The partition wall (R)
Porosity
Tortuosity
0
10
20
30
40
50
60
70
80
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
red
uct
ion
ind
ex
R(d
B)
Frequency (Hz)
Prediction - alpha=1.0 -Rw+C=34 dB
Prediction - alpha=1.2 -Rw+C=34 dB
Prediction - alpha=1.4 -Rw+C=34 dB
Prediction - alpha=1.6 -Rw+C=34 dB
Prediction - alpha=1.8 -Rw+C=34 dB
3. Parametric studya. The partition wall (R)
Resistivity
0
10
20
30
40
50
60
70
80
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
red
uct
ion
ind
ex
R(d
B)
Frequency (Hz)
Prediction - sigma=5e3 Nsm-4- Rw+C=34 dB
Prediction - sigma=10e3 Nsm-4 - Rw+C=34 dB
Prediction - sigma=15e3 Nsm-4 - Rw+C=34 dB
Prediction - sigma=20e3 Nsm-4 - Rw+C=34 dB
Prediction - sigma=25e3 Nsm-4 - Rw+C=34 dB
Characteristic lengths
0
10
20
30
40
50
60
70
80
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
red
uct
ion
ind
ex
R(d
B)
Fréquence (Hz)
Prediction - lambda=40e-6 m -Rw+C=33 dB
Prediction - lambda=60e-6 m -Rw+C=33 dB
Prediction - lambda=80e-6 m -Rw+C=34 dB
Prediction - lambda=100e-6 m- Rw+C=34 dB
Prediction - lambda=120e-6 m- Rw+C=35 dB
3. Parametric studya. The partition wall (R)
Contribution of the poro-elastic parameters on the acousticperformance
0
10
20
30
40
50
60
70
80
90
100
100 125 160 200 250 315 400 500 630 800 1000 1250 1600 2000 2500 3150 4000 5000
Co
ntr
ibu
tio
ns
(%)
Frequency (Hz)
Porosity
Tortuosity
Characteristic lengths
Young's modulus
Damping
3. Parametric studyb. The underlay system under ceramic tiles (L)
Values of the considered parameters
Parameters Values
0.53, 0.63, 0.73, 0.83, 0.93*
(kN.s/m4) 80, 100, 120*, 140, 160
1.0*, 1.2, 1.4, 1.6, 1.8
(m) 20, 40, 60*, 80, 100
’ (m) 2
1 (kg.m-3) 130, 150, 170*, 190, 210
E (MN.m-2) 0.5, 1.0, 1.5*, 2.0, 2.5
0.0
s 0.025, 0.050, 0.075*, 0.100, 0.125
-10
0
10
20
30
40
50
60
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00Im
pro
vem
en
to
fim
pac
tn
ois
ele
velD
L(d
B)
Frequency (Hz)
Prediction - E=0.5 Mpa -DLw=14 dB
Prediction - E=1.0 MPa -DLw=13 dB
Prediction - E=1.5 MPa -DLw=13 dB
Prediction - E=2.0 MPa -DLw=13 dB
Prediction - E=2.5 MPa -DLw=13 dB
3. Parametric studyb. The underlay system under ceramic tiles (L)
Young’s modulus
Density
-10
0
10
20
30
40
50
60
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00Im
pro
vem
en
to
fim
pac
tn
ois
ele
velD
L(d
B)
Frequency (Hz)
Prediction - rho=130 kg/m3 -DLw=13 dB
Prediction - rho=150 kg/m3 -DLw=13 dB
Prediction - rho=170 kg/m3 -DLw=13 dB
Prediction - rho=190 kg/m3 -DLw=13 dB
Prediction - rho=210 kg/m3 -DLw=13 dB
-10
0
10
20
30
40
50
60
10
0
12
5
16
0
20
0
25
0
31
5
40
0
50
0
63
0
80
0
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00Im
pro
vem
en
to
fim
pac
tn
ois
ele
velD
L(d
B)
Frequency (Hz)
Prediction - eta=2.5% -DLw=12 dB
Prediction - eta=5.0% -DLw=13 dB
Prediction - eta=7.5% -DLw=13 dB
Prediction - eta=10% -DLw=14 dB
Prediction - eta=12.5%- DLw=14 dB
3. Parametric studyb. The underlay systems under ceramic tiles (L)
Structural loss factor
3. Parametric studyb. The underlay systems under ceramic tiles (L)
Contribution of poro-elastic parameters on the acousticperformance
0
10
20
30
40
50
60
70
80
90
100
100 125 160 200 250 315 400 500 630 800 1000 1250 1600 2000 2500 3150 4000 5000
Co
ntr
ibu
tio
ns
(%)
Frequency (Hz)
Porosity
Tortuosity
Young's modulus
Density
Damping
3. Parametric studyc. Glass wool ()
Values of the considered parameters:
Parameters Values
0.6, 0.7, 0.8, 0.9, 0.98*
(kN.s/m4) 80, 100, 120*, 140, 160
1.0*, 1.2, 1.4, 1.6, 1.8
(m) 13*, 16, 39, 52, 65
’ (m) 2
1 (kg.m-3) 15, 30, 45*, 60, 75
E (kN.m-2) 15, 25*, 35, 45, 55
0.0
s 0.05, 0.10, 0.15, 0.20*, 0.25
3. Parametric studyc. Glass wool ()
Porosity Resistivity
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffic
ien
t
s
Fréquence (Hz)
Prediction - phi=0.6 - aw=0.55(MH)Prediction - phi=0.7 - aw=0.65(H)Prediction - phi=0.8 - aw=0.70(H)Prediction - phi=0.9 - aw=0.80Prediction - phi=1.0 - aw=0.80
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffic
ien
t
s
Fréquence (Hz)
Prediction - sigma=80 Nsm-4 - aw=0.80(H)Prediction - sigma=100 Nsm-4 - aw=0.80Prediction - sigma=120 Nsm-4 - aw=0.80Prediction - sigma=140 Nsm-4 - aw=0.80Prediction - sigma=160 Nsm-4 - aw=0.80
3. Parametric studyc. Glass wool ()
Characteristic lengths Young’s modulus
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffci
ein
t
s
Fréquence (Hz)
Prediction - lambda=13e-6 m - aw=0.80Prediction - lambda=26e-6 m - aw=0.80Prediction - lambda=39e-6 m - aw=0.80Prediction - lambda=52e-6 m - aw=0.80Prediction - lambda=65e-6 m - aw=0.80
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffic
ien
t
s
Fréquence (Hz)
Prediction - E=15 kPa - aw=0.85Prediction - E=25 kPa - aw=0.80Prediction - E=35 kPa - aw=0.80Prediction - E=45 kPa - aw=0.75(H)Prediction - E=55 kPa - aw=0.70(H)
3. Parametric studyc. Glass wool
Density Structural loss factor
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffic
ien
t
s
Fréquence (Hz)
Prediction - rho=15 kg/m3 - aw=0.40(MH)Prediction - rho=30 kg/m3 - aw=0.60(MH)Prediction - rho=45 kg/m3 - aw=0.80Prediction - rho=60 kg/m3 - aw=0.85Prediction - rho=75 kg/m3 - aw=0.80
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
10
01
25
16
02
00
25
03
15
40
05
00
63
08
00
10
00
12
50
16
00
20
00
25
00
31
50
40
00
50
00
Sou
nd
abso
rpti
on
coe
ffic
ien
t
s
Fréquence (Hz)
Prediction - eta=5% - aw=0.80Prediction - eta=10% - aw=0.80Prediction - eta=15% - aw=0.80Prediction - eta=20% - aw=0.80Prediction - eta=25% - aw=0.80
Conclusions
ConclusionsInfluent parameters different in function of the purpose (airborne noise,
impact noise, absorption).
Type of contact is influent (study extended to other systems).
Taguchi method faster than Monte-Carlo
PerspectivesParameters considered as uncorrelated…
Improvement of the methodology .
Measurement methods of porous method.
Extension to the system.
AcknowledgementsCatherine GUIGOU-CARTER, Jean-Baptiste CHENE
Thank you for yourattention