1/23 Ecole Nationale Sup érieure d ’Arts et M étiers A. Giraudeau, F. Pierron - 2009 MPSVA conferenc e Identification of local material damping in vibrating plates using full-field measurements Alain Giraudeau, Fabrice PIERRON LMPF research group Arts et Métiers ParisTech Châlons en Champagne - France 7 th International Conference on Modern Practice in Stress and Vibration Analysis, 8-10 th September 2009, Cambridge
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1/23 A. Giraudeau, F. Pierron - 2009 MPSVA conference Identification of local material damping in vibrating plates using full-field measurements Alain.
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1/23
Ecole
Natio
nale
Sup
érie
ure d
’Arts
et M
étie
rs
A. Giraudeau, F. Pierron - 2009 MPSVA conference
Identification of local material damping in
vibrating plates using full-field measurements
Alain Giraudeau, Fabrice PIERRON
LMPF research groupArts et Métiers ParisTech
Châlons en Champagne - France
7th International Conference on Modern Practice in Stress and Vibration Analysis, 8-10th September 2009, Cambridge
2/23
Ecole
Natio
nale
Sup
érie
ure d
’Arts
et M
étie
rs
A. Giraudeau, F. Pierron - 2009 MPSVA conference
Motivation / Objectives
Material damping Difficult to measure Problem with connections/joints Most of the standard techniques rely on beams Difficult (but important) to get both complex stiffnesses
on same testN.W. Tschoegl, W.G. Knauss, and I. Emri. Poisson's ratio in linear viscoelasticity - a critical review. Mechanics of Time-Dependent Materials, 6:3-51, 2002.
Objectives Simultaneous identification of both complex
stiffnesses (isotropy) on single test Method to cancel the effect of connections Explore the use of full-field measurements
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Ecole
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A. Giraudeau, F. Pierron - 2009 MPSVA conference
Identification of material properties :Stiffness
Damping
Thin plate specimens
Dynamic loading
Attachements : Parasistic effects Unknown energy loss
Equilibrium of forces No energy consideration
F(t)
Principle
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A. Giraudeau, F. Pierron - 2009 MPSVA conference
Dynamic equilibrium :
Point M :
iij,ij f
dVudVufdVu ii
V
i
V
ijij
V
,
dVudVufdSuTdV ii
V
i
V
ii
V
ijij
V
*:
Observed area
Internal f. Boundary f. Volumic f. Inertial f.
Principle of Virtual Work (P V W)
:,* yxui- Continuous
- Differentiable
ui* ui*ui*
Principle F(t)
M
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Sup
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ure d
’Arts
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étie
rs
A. Giraudeau, F. Pierron - 2009 MPSVA conference
Considered case
Rectangular thin plate
Sine driving movement
Inertial excitation
Full field measurements
Data processing using Virtual Fields Method (V.F.M.)