Transfert d’énergie modale dans les smart-structures ...Transfert d’énergie modale dans les...
Transcript of Transfert d’énergie modale dans les smart-structures ...Transfert d’énergie modale dans les...
-
Transfert d’énergie modale dans les smart-structures:récupérer et contrôler
Simon CHESNE , Claire Jean-Mistral,
L. Gaudiller & Z. WangUniversité de Lyon, CNRS INSA-Lyon, LaMCoS
Journée scientifique de la SFATechniques de contrôle en vibrations, acoustique et musique
16-11-15
-
Overview
Context
Previous worksModal SSDI
SSHI
SSDV
SSDH Principles
Experimental Identification
Simulations results & analysis
Conclusions
2
-
Context: Active control for embedded structuresApplication to a printed circuit board
■ PZT (2 sensors, 1 actuators)■ Modal active control focused on damaging modes■ PCB lifetime increased by 128■ Semi-adaptive
• Semi-adaptive modal control of on-board electronic boards using an identification method
B Chomette, D Remond, S Chesne, L Gaudiller - SMS, 2008
• Damage reduction of on-board structures using piezoelectric components and active modal control
B Chomette, S Chesne, D Rémond, L Gaudiller - MSSP, 2010
Electronic components
PZT
3
-
Context: Active control for embedded structuresTransmission Loss
3
Transmission Loss
improved
Low Spillover
PhD Thesis, V. Lhuillier, 2009 LVA
-
0 200 400 600 800 1000 1200
-90
-80
-70
-60
-50
-40
Frequency (Hz)
dB
(re
f:1
V)
-12dB
-8dB
Context: Active control for embedded structuresApplication to a composite structures
■ Fully integrated transducers■ Identification of coupling coefficients
Experimental identification of smart material coupling effects in composite structures
S Chesne, C Jean-Mistral, L Gaudiller - Smart Materials and Structures, 2013
MFC PVDF
1
1
2
2
1( )( ) ( ) ,( )
y sH s C sI A B
u s
,,
, 2 21
( ) ,2
k lijk ln
ident ik l
i i i i
M eH s
s s
4
-
Context: Active control for embedded structuresGlobal long-term objectives:
Integrated transducers
High performances
Adaptive
Broadband excitation
Energetic autonomy X
Synchronized switch approaches ?
5
-
Context: Active control for embedded structures
Passive
control
SSDI
control
Modal
SSDI
control
Hybride
modal
control
Ideal
control
SSDH
Active
modal
control
En
erg
yc
os
t
Performances
6
-
Context: Synchronized switch approachesBasic principles of switch on Inductance
SSDI = Synchronized Switch Damping on Inductance
Voltage Inversion on each extrema using a resonant network
7
-
Context: Synchronized switch approachesBasic principles of switch on Inductance
SSDI = Synchronized Switch Damping on Inductance
Voltage Inversion on each extrema using a resonant network
Three interesting developmentsModal SSDI
SSDV
SSHI7
-
Previous works: Synchronized switch approachesModal SSDI
Voltage Inversion on each modal extrema using a resonant network
Necessity of a modal observer to reconstruct the modal state.
New semi-active multi-modal vibration control using
piezoceramic components
S Harari C. Richard L, Gaudiller; JIMSS, 2009,
8
-
Previous works: Synchronized switch approachesSSDV (Synchronized Switch Damping on Voltage source)
The electromechanical coupling is reinforced by artificiallyincreasing the voltage amplitude delivered by the patches,
Semi-passive Piezoelectric Structural Damping by Synchronized Switching on Voltage Sources
E, LEFEUVRE & al, JIMSS, 2006,
No control
SSDI
SSDV
9
-
Previous works: Synchronized switch approachesSSHI (synchronized switch harvesting on inductor)
Artificial increase of the piezoelements’ output voltage.
Piezoelectric Energy Harvesting using a Synchronized Switch Technique
A. BADEL & al, JIMSS 2005
10
-
Synchronized Switch Damping and HarvestingObjectives of the new approach
Autonomous
High performances
On the same structure
PrinciplesTo harvest energy on a mode (modal SSHI like)
To enhance SSDI control to an another mode (modal SSDV like)
10-1
-40
-30
-20
-10
0
10
20
30
40
Magnitude (
dB
)
Bode Diagram
Frequency (Hz)
10-1
-40
-30
-20
-10
0
10
20
30
40
Magnitude (
dB
)
Bode Diagram
Frequency (Hz)Energy transfert11
-
DC-DC converter
Vibration control
Energy transfer Energy transfer
Energy harvesting
Synchronized switch Damping and HarvestingPrinciples of the new approach
Autonomous
High performances
Schema of energy transfer circuit with SSDH technique
and identification of the main functions.
Enhancing Vibration Damping of Smarts Structures by Energy Transfer between Modes
Wang Z, Jean-Mistral C , Chesné S and Gaudiller L, Applied Mechanics and Materials 201412
-
DC-DC converter
Vibration control
Energy transfer Energy transfer
Energy harvesting
Synchronized switch Damping and HarvestingVarious operation principles
Constant intermediate voltages
Full charge transfer
Necessity of an accurate model to synchronize the switches.
13
-
Experimental identification of the modelConstruction of an experimental model
Identification of mechanical parameters using curve fitting approach
L1
PZT 2
PVDF 1 PVDF 2PZT 1
L2
La Ls LsL3
LT
Experimental identification of smart material coupling effects in composite structures
S, Chesné, C, Jean-Mistral, L, Gaudiller.. Smart Materials and Structures, 2013
Measured FRFReconstructed FRF
14
Length=40cmf1= 15,8Hzf2= 91,5Hz
-
Experimental identification of the modelConstruction of an experimental model
Indirect measurement of modal electromechanical coupling coefficients
Experimental identification of smart material coupling effects in composite structures
S, Chesné, C, Jean-Mistral, L, Gaudiller.. Smart Materials and Structures, 2013
For the PZT, high coupling:
2𝜋 ∗ ( 𝐶0[ 𝑓𝑖𝑐𝑜 2 − 𝑓𝑖
𝑐𝑐2] = 𝐵𝑖
𝑘
For the PVDF, very low coupling coefficient:
,,
, 2 21
( ) ,2
k lijk ln
ident ik l
i i i i
M eH s
s s
𝑀𝑖𝑘,𝑙𝑒𝑗∅𝑖
𝑘,𝑙
𝐵𝑖𝑘 = 𝐶𝑖
𝑙
15
-
The useless slide Vibration energyharvesting
DC-DC converter
Vibration control
Energy transfer Energy transfer
L1
PZT 2
PVDF 1 PVDF 2PZT 1
L2
La Ls LsL3
LT
Structure
Global management
SSHI Buck-boost
SSDV
16
-
Simulation results
Bi harmonic excitation, Constant intermediate voltages Resulting voltages
PZT 2 Voltage, Modal SSHI on mode 2
L1
PZT 2
PVDF 1 PVDF 2PZT 1
L2
La Ls LsL3
LT
Vibration energyharvesting
DC-DC converter
Vibration control
Energy transfer Energy transfer
17
≈2mm displacement
2 2.05 2.1 2.15-15
-10
-5
0
5
10
15
Time(s)
Voltage (
V)
No Control
SSDH
q2
2.0423 2.0424 2.0425 2.0426 2.0427 2.0428 2.0429 2.043 2.0431 2.0432
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Time(s)
Voltage (
V)
No Control
SSDH
q2
-
1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54 1.56 1.58-20
-15
-10
-5
0
5
10
15
20
Time (s)
Vo
ltag
e V
01 (
V)
No Control
modal SSDI
SSHD
q1
Simulation results
Bi harmonic excitation, Constant intermediate voltages Resulting voltages
L1
PZT 2
PVDF 1 PVDF 2PZT 1
L2
La Ls LsL3
LT
Vibration energyharvesting
DC-DC converter
Vibration control
Energy transfer Energy transfer
18
≈2mm displacement
PZT 1 Voltage, Modal SSDV on mode 1
-
1.4 1.42 1.44 1.46 1.48 1.5 1.52 1.54 1.56 1.58-20
-15
-10
-5
0
5
10
15
20
Time (s)
Vo
lta
ge
V0
1 (
V)
No Control
modal SSDI
SSHD
q1
1.5954 1.5956 1.5958 1.596 1.5962 1.5964 1.5966 1.5968-15
-10
-5
0
5
10
15
Time (s)
Vo
lta
ge
V0
1 (
V)
Simulation results
Bi harmonic excitation, Constant intermediate voltages Resulting voltages
L1
PZT 2
PVDF 1 PVDF 2PZT 1
L2
La Ls LsL3
LT
Vibration energyharvesting
DC-DC converter
Vibration control
Energy transfer Energy transfer
Inversion factorSSDI: 0,745SSDH: 0,96
18
≈2mm displacement
PZT 1 Voltage, Modal SSDV on mode 1
-
Simulation resultsBi-harmonic excitation, Constant intermediate voltages
Modal state, mode1
2 2.05 2.1 2.15-2
-1.5
-1
-0.5
0
0.5
1
1.5
2x 10
-4
Time (s)
q1 No Control
q1 SSDH
q1 SSDI
Amplitude reductionSSDI: -13,5dBSSDH: -26,7dB
19
-
Simulation resultsBi-harmonic excitation, Constant intermediate voltages
Modal state, mode2
Amplitude reductionSSDH: -6dB
2 2.05 2.1 2.15-1.5
-1
-0.5
0
0.5
1
1.5x 10
-5
Time (s)
q2 No Control
q2 SSDH
20
-
Theoretical Attenuation
SSDI ->14,5dB
SSDV ->27dB
SSDH -> 26,7dB
Simulation resultsComparison with theoretical SSDV / SSDI
Considering a voltage source of 2V (equivalent to our intermediate storage)
Analytical formulae are given for a 1DoF system : an equivalent modal model is used.
∅𝑇𝑀∅
∅𝑇
K∅𝑇
qi
∅𝑇F
Equivalent modal model.
21
-
Simulation resultsImpulse response
21
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
x 10-3
10
20
30
40
50
60
70
Frequency (kHz)
Pow
er/
frequency (
dB
/Hz)
Welch Power Spectral Density Estimate
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-1500
-1000
-500
0
500
1000
1500
Time
mV
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2-30
-20
-10
0
10
20
30
Time (s)
V
Self-sustained excitationNecessity of an adaptive step (as SSDV)
-17dB
Sensor voltage
Actuator voltage
-
Energetic analysis
iLB(t)
Imax
t1t2
Step 1 Step 2
Perspectives
0 0.0005
-15
-10
-5
0
5
10
15
Time (s)
Voltage (
V)
VB
V01
0 0.0002 0.00040
1
2
3
4
5
6
Time (s)
Vo
lta
ge
(V
)
V02
Vint
SSHI Buck Boost SSDVc
Mechanicalexcitation
Dissipatedenergy
1st & 2nd mode
? Steady state ?
2nd mode 1st mode
1st mode
i2
iLB
f1= 15,8Hzf2= 91Hz fbb= 10000Hz
-
Perspectives
Focusing + Harvesting
Structronic project
-
ConclusionsNew concept to enhance modal vibration damping thanks to energy transfer between modes.
Global optimization (mechanical & electrical)
Performances similar to SSDV (-27dB), without voltage source!
It highlights the interest of the association of smart functions (cf. Structronic project).
Multi modal harvesting.
Experimentation in progress
22
-
ConclusionsExperimentation in progress
0,0073 0,0016
Thank you.23