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How TMM/FTMM simulations help you understandthe vibro-acoustic response of multi-layer systems
François-Xavier BécotFabien Chevillotte, Luc Jaouen
Booth 11
Altair Technology Conference
Munich, Germany – 26.Jun.2014
www.matelys.com
Acknowledgements to my colleagues Fabien Chevillotte and Luc Jaouen . . .
www.matelys.com
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
A few words about
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Matelys is an independent research laboratorydedicated to the study of porous materialsin acoustics, thermics, elastics and flow
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Accredited French Research Ministry (CIR) since 2007and awarded by peers
www.matelys.com
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materials
Industrial applications : automotive
Industrial applications : aeronautics
Industrial applications : multi-physics
Conclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materials• TMM : Transfer Matrix Method• principles of modeling
Industrial applications : automotiveIndustrial applications : aeronauticsIndustrial applications : multi-physicsConclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
FEM compared to TMMCell
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materials• TMM : Transfer Matrix Method• principles of modeling
Industrial applications : automotiveIndustrial applications : aeronauticsIndustrial applications : multi-physicsConclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Air saturated pores
Solid frames
Em
men
tal
Mel
amin
e fo
am
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Poro-visco-elastic medium ⇔ Two phases’ medium
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Poro-visco-elastic medium ⇔ Two phases’ medium
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Two phases’ medium ⇔ homogenisation
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Two phases’ medium ⇔ homogenisation
λ� charac. dim◦
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Homogenisation ⇔ semi-phenomenological models
λ� charac. dim◦
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Homogenisation ⇔ semi-phenomenological models
λ� charac. dim◦
Three types of dissipations
in the fluid phase
• viscous flow• thermal exchanges with skeleton
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Homogenisation ⇔ semi-phenomenological models
λ� charac. dim◦
Three types of dissipations
in the fluid phase
• viscous flow• thermal exchanges with skeleton
in the solid phase
• structural (skeleton deformation)
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Rigid & motionlessbehaviour
Road pavement
Limp behavior:Youngʹs modulus
close to 0
Rigid body behavior:Low mass density to stiffness ratio
Cotton candy
Flower foam
Visco-Elastic skeleton
Soft-touch mattress
Biot model
Acoustical and elastical parameters required.
Acoustical parameters required only.
Equivalent fluid model
2 phases coupled
2 phases NOT coupled
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materials
Industrial applications : automotive• multi-scale optimisation study
Industrial applications : aeronauticsIndustrial applications : multi-physicsConclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Sound insulation performance of a multi-layer sound package
⇒ coupling Micro-Macro & Multi-layer modellingScalingCell Cell
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materialsIndustrial applications : automotive
Industrial applications : aeronautics• sound paths in studded partition
Industrial applications : multi-physicsConclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Identifying the sound paths in studded partitions
102
103
104
Frequency64Hz)
Diffuse6field6sound6transmission6loss64dB)
Solid6borneGW6airborneGW6total6:6364−5;−12)MEL6airborneMEL6total6:6354−5;−12)
20 dB
⇒ little impact of filling material
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materialsIndustrial applications : automotiveIndustrial applications : aeronautics
Industrial applications : multi-physics• material scale• component scale
Conclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Cubic centered cell with pore closing membranes
fluid phase solid phase withoutmembranes
solid phase withmembranes
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Tuning the size of the “windows”
“natural” opening “forced” opening
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Influence of the pore window sizeThermal conductivity (% of max value)
M1 calc.
M2 calc.
M3 calc.
M4 calc.
M4 > M3 > M2 > M1
RiRi
RiRi
Rw6(micrometres)
Th
erm
al6c
on
du
ctiv
ity
6(%
6max
6val
ue)
100
50
0
75
25
0 100 200 300 400 500 600
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Influence of the pore window sizeSound absorption coefficient in diffuse field (ISO 354)
0 1000 2000 3000 4000 50000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
MA
TE
LYS−
AcV
/ Ju
l13
SoundRabsorptionRcoef.RdiffuseRfieldR(ISOR354)
FrequencyR(Hz)
56RRRRpR=R0.45R(H)106RRpR=R0.30R(H)206RRpR=R0.25R(H)306RRpR=R0.20R(H)406RRpR=R0.20R(H)506RRpR=R0.15R(H)606RRpR=R0.15R
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materialsIndustrial applications : automotiveIndustrial applications : aeronautics
Industrial applications : multi-physics• material scale• component scale
Conclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acousto-thermal behaviour Vs. volumic mass
80%
85%
90%
95%
100%
80%
85%
90%
95%
100%
Volumic mass (kg/m3)
Rw+C (% max value)Thermal resistance (% max value)
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acousto-thermal behaviour Vs. convection in air gaps
70%
75%
80%
85%
90%
95%
100%
70%
75%
80%
85%
90%
95%
100%
Configuration of air gaps (mm)
Rw+C (% max value)Thermal resistance (% max value)
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Acoustic description of porous materialsIndustrial applications : automotiveIndustrial applications : aeronauticsIndustrial applications : multi-physics
Conclusions
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Matelys TMM & Porous Materials Automotive Aeronautics Multi-physics Conclusions
Future materials
• heterogeneous materials
• graded materials
• hybrid passive / active materials / energy harvester
Stakes
• morphing technologies
• 3D printing / structured materials
• multi-physics development
• multi-functional materials
• manufacturing capacities
• technological know-how
F.-X. Bécot – www.matelys.com EATC – 26.Jun.2014
Thank you for your attention !
SAPEM 2014 in KTH (Stockholm-Sweden) 16-17-18 December 2014
http://sapem2014.matelys.com/
Acoustical Porous Material Recipes TMM/FTMM Micro-Macro model Porous charac.
Cell ScalingCell CellCellRoKF.-X. Bécot – www.matelys.com EATC – 26.Jun.2014