E. Balmes, G. Vermot des Roches
SDTools, Arts et Metiers ParisTech
Workshop “Amortissement”.
ECL, Oct 8, 2015
1
Design methods for damping augmentation &
integration of models in global simulations.
Industrial illustrations with SDT
• Meshing
• Material handling
• Response & pole predictions
• Vibroacoustic optimization
• Analysis tools
Damping design process
Outline
• Main reason for damping design failure : missing elastic design
– Level of coupling : a necessity for damping
– Meaning in junctions analyze flexibility, contact, sliding
– Sample mechanisms with parameters that can be optimized
• Integration in global simulations / analysis tools
– Reduction tools & base damping
– Direct transient & frequency solvers
– Post-processing tools
– Force/state map in physical and macro-models
3
Apparent damping with pure contact
4
Thénint 2011
Damping occurs in the transition
5
• Contact with broadband excitation level
• Viscoelasticity : temperature/frequency dependence
• Friction : amplitude/normal force dependence
ECL/Laxalde 2007
ENSAM/Hammami 2014
Low joint energy  no damping
Simple example : bending joint
Design space : k=kv(1+ih)
with kv variable, h=1
Output : f(kv,h) z(kv,h)
Damping can only exist
if joint is « working »
Energy fraction
in joint must be « sufficient »
(depends on kv)
Soft joint
Stiff joint
Dissipative joint
1
2
3
1
2
3
Mode2
Mode1
cvwj=kvh
kv
Similar ideas : electromecanical coupling coefficient, pole/zero distance,
modal strain energy
SUPMECAvisco Washer
ENSAM
Contact/friction & coupling
7
• Variable contact surface, contact, sliding can generate coupling
Damping design
• Phase 1 : sufficient coupling (elastic model)
• Phase 2 : device optimization
(physical damping model)
Chassis
Brakes International
PSA
Damped viscoelastic junction
Initial design : bolted brackets
• Non uniform pressure
• Friction potential limited
Energy analysis : full visco-layer
• Energy in screw decreases rapidly
• There is an optimal visco layer stiffness
Structured layer :
• Carry load : washer
• Damp : visco
8Hammami/Balmes/Guskov, MSSP 2015
Washervisco
*3 *8
Outline
• Main reason for damping design failure : missing elastic design
– Level of coupling : a necessity for damping
– Meaning in junctions analyze flexibility, contact, sliding
– Sample mechanisms with parameters that can be optimized
• Integration in global simulations / analysis tools
– Reduction tools & base damping
– Direct transient & frequency solvers
– Post-processing tools
– Force/state map in physical and macro-models
9
Modeling damping mechanisms
Models : known
• Visco
• Point to point connection : force-state map F = f(q,t)
• Surface contact/friction model
Difficulties
• Need for parametric studies
– Viscoelasticity : temperature/frequency dependence
– Friction : amplitude/normal force dependence
 Solver cost & robustness
• Need to understand trends
 Analysis tools
Laxalde 2007
Dimensions of damping design problems
• Model parameters (designs, dispersion)
• Operating point (temperature, pressure)
• “Frequency” domain :
linearization, HBM, NL modes (frequency, level)
• Time domain transients (loading, initial cond., …)
Needed : global solution
• Solver optimization
• Reduction : realistic FEM,
parametric problems
• Analysis tools : “features” similar to modes
11
Nom
.
+10
%
+20
%
-20%
Solver optimization
Most difficult to obtain significant gains
SDTools activities
• Extensible framework for NL description
• Transient : implicit : fixed jacobian penalized contact, theta
method (AcouFren), explicit : SE generation (MAIAS)
• Frequency : parametric viscoelastic studies, linearization
along transient, HBM (starting in CLIMA)
• Modal damping in full FEM
• Fine // of residue computation
• Coarse // : bypass cost problem by distribution of parametric
computations
12
Reduction : easiest gains
• Craig-Bampton often sub-performant
because of interfaces
• CMT (component mode tuning)
– Exact nominal modes (possibly multi-model)
– Replaceable unreduced NL area
– Possibly modal component coordinates
• Error control & SVD
• Compression of output data
13
𝜙 𝐹𝑢𝑙𝑙 𝐴𝑟𝑒𝑎
𝐼
PhD : Bobillot (ADS), Sternchuss (SNECMA),
Vermot (Bosch), Thénint (EDF)
Analysis tools : modal features
• Modal & mechanical energies
• Instant mode computation
Sample question : does the
modeshape change in a NL response
?
Ep(t) Ek(t)
14
15
Guillaume Vermot des Roches - Design oriented simulation of squeal instabilities - 27 / 01 / 2011
Component Mode Sensitivities
• Identification of
sensitive
parameters:
F = f(q,t) : force state maps
Classical rheology 𝜎 = 𝑓 𝜖 𝑡 =local in space
Classical macro-model :
• Model simplification
• Arbitrary selection of q
• Equivalent building of point f
Physical macro-model :
• Junctions are distributed
• What is the state q ?
• How is f field distributed ?
Macro-model = force/state map
16
Analysis tools : macro-forces
• Principal loads
𝐹 𝑛𝑙 𝑞 𝑠 , 𝑘 𝑛, 𝑘 𝑡 𝑁×1
≈ 𝑘 𝑛 KN 𝑉𝑗 𝑎𝑗 KN 𝑉𝑗
𝑇𝑁 𝑁
𝑗=1
𝑞(𝑠) 𝑁×1
• Dissipation localization
17
50 100 150 200 250 300
10
-4
10
-3
10
-2
10
-1
In:Guide X, Out:FLOOR-Z
Frequency
FRF
Conclusion
• Elastic design must be understood
• Models & solvers
– Accessible with state of the art methods
– Industrially useful only when parametric studies and
physical models are accessible
– The focus should be on design process & robustness
(temp, pressure, variability)
• Feature extraction strategies are fundamental
– System & component mode characteristics
– Macro-forces
– Performance targets
www.sdtools.com/Publications.html 18
RestartIdentification
Level

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ECL15_Damping_SDTools

  • 1. E. Balmes, G. Vermot des Roches SDTools, Arts et Metiers ParisTech Workshop “Amortissement”. ECL, Oct 8, 2015 1 Design methods for damping augmentation & integration of models in global simulations. Industrial illustrations with SDT
  • 2. • Meshing • Material handling • Response & pole predictions • Vibroacoustic optimization • Analysis tools Damping design process
  • 3. Outline • Main reason for damping design failure : missing elastic design – Level of coupling : a necessity for damping – Meaning in junctions analyze flexibility, contact, sliding – Sample mechanisms with parameters that can be optimized • Integration in global simulations / analysis tools – Reduction tools & base damping – Direct transient & frequency solvers – Post-processing tools – Force/state map in physical and macro-models 3
  • 4. Apparent damping with pure contact 4 Thénint 2011
  • 5. Damping occurs in the transition 5 • Contact with broadband excitation level • Viscoelasticity : temperature/frequency dependence • Friction : amplitude/normal force dependence ECL/Laxalde 2007 ENSAM/Hammami 2014
  • 6. Low joint energy  no damping Simple example : bending joint Design space : k=kv(1+ih) with kv variable, h=1 Output : f(kv,h) z(kv,h) Damping can only exist if joint is « working » Energy fraction in joint must be « sufficient » (depends on kv) Soft joint Stiff joint Dissipative joint 1 2 3 1 2 3 Mode2 Mode1 cvwj=kvh kv Similar ideas : electromecanical coupling coefficient, pole/zero distance, modal strain energy
  • 7. SUPMECAvisco Washer ENSAM Contact/friction & coupling 7 • Variable contact surface, contact, sliding can generate coupling Damping design • Phase 1 : sufficient coupling (elastic model) • Phase 2 : device optimization (physical damping model) Chassis Brakes International PSA
  • 8. Damped viscoelastic junction Initial design : bolted brackets • Non uniform pressure • Friction potential limited Energy analysis : full visco-layer • Energy in screw decreases rapidly • There is an optimal visco layer stiffness Structured layer : • Carry load : washer • Damp : visco 8Hammami/Balmes/Guskov, MSSP 2015 Washervisco *3 *8
  • 9. Outline • Main reason for damping design failure : missing elastic design – Level of coupling : a necessity for damping – Meaning in junctions analyze flexibility, contact, sliding – Sample mechanisms with parameters that can be optimized • Integration in global simulations / analysis tools – Reduction tools & base damping – Direct transient & frequency solvers – Post-processing tools – Force/state map in physical and macro-models 9
  • 10. Modeling damping mechanisms Models : known • Visco • Point to point connection : force-state map F = f(q,t) • Surface contact/friction model Difficulties • Need for parametric studies – Viscoelasticity : temperature/frequency dependence – Friction : amplitude/normal force dependence  Solver cost & robustness • Need to understand trends  Analysis tools Laxalde 2007
  • 11. Dimensions of damping design problems • Model parameters (designs, dispersion) • Operating point (temperature, pressure) • “Frequency” domain : linearization, HBM, NL modes (frequency, level) • Time domain transients (loading, initial cond., …) Needed : global solution • Solver optimization • Reduction : realistic FEM, parametric problems • Analysis tools : “features” similar to modes 11 Nom . +10 % +20 % -20%
  • 12. Solver optimization Most difficult to obtain significant gains SDTools activities • Extensible framework for NL description • Transient : implicit : fixed jacobian penalized contact, theta method (AcouFren), explicit : SE generation (MAIAS) • Frequency : parametric viscoelastic studies, linearization along transient, HBM (starting in CLIMA) • Modal damping in full FEM • Fine // of residue computation • Coarse // : bypass cost problem by distribution of parametric computations 12
  • 13. Reduction : easiest gains • Craig-Bampton often sub-performant because of interfaces • CMT (component mode tuning) – Exact nominal modes (possibly multi-model) – Replaceable unreduced NL area – Possibly modal component coordinates • Error control & SVD • Compression of output data 13 𝜙 𝐹𝑢𝑙𝑙 𝐴𝑟𝑒𝑎 𝐼 PhD : Bobillot (ADS), Sternchuss (SNECMA), Vermot (Bosch), Thénint (EDF)
  • 14. Analysis tools : modal features • Modal & mechanical energies • Instant mode computation Sample question : does the modeshape change in a NL response ? Ep(t) Ek(t) 14
  • 15. 15 Guillaume Vermot des Roches - Design oriented simulation of squeal instabilities - 27 / 01 / 2011 Component Mode Sensitivities • Identification of sensitive parameters:
  • 16. F = f(q,t) : force state maps Classical rheology 𝜎 = 𝑓 𝜖 𝑡 =local in space Classical macro-model : • Model simplification • Arbitrary selection of q • Equivalent building of point f Physical macro-model : • Junctions are distributed • What is the state q ? • How is f field distributed ? Macro-model = force/state map 16
  • 17. Analysis tools : macro-forces • Principal loads 𝐹 𝑛𝑙 𝑞 𝑠 , 𝑘 𝑛, 𝑘 𝑡 𝑁×1 ≈ 𝑘 𝑛 KN 𝑉𝑗 𝑎𝑗 KN 𝑉𝑗 𝑇𝑁 𝑁 𝑗=1 𝑞(𝑠) 𝑁×1 • Dissipation localization 17
  • 18. 50 100 150 200 250 300 10 -4 10 -3 10 -2 10 -1 In:Guide X, Out:FLOOR-Z Frequency FRF Conclusion • Elastic design must be understood • Models & solvers – Accessible with state of the art methods – Industrially useful only when parametric studies and physical models are accessible – The focus should be on design process & robustness (temp, pressure, variability) • Feature extraction strategies are fundamental – System & component mode characteristics – Macro-forces – Performance targets www.sdtools.com/Publications.html 18 RestartIdentification Level