SHM Composite Dec2010
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Transcript of SHM Composite Dec2010
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Simple Method for Delamination Detection in Composite
Israr Ullah, Jyoti K. Sinha
School of MACE, The University of Manchester, Sackville Street, Manchester M13 9PL, UK
E-ail! "srar#Ullah$%ost&ra'#anchester#ac#(k, )yoti#Sinha$anchester#ac#(k
Abstract
*elaination 'etection in the co%osite str(ct(re +ase' on the vi+ration res%onses
hen ecite' at the loer o'es has +een s(&&este' here# "t has +een o+serve' that
the nonlinear interaction +eteen the 'elainate' layers %ro'(ce hi&her haronics ofthe ecitin& fre.(ency# These hi&her haronics have o+serve' to +e (sef(l for the
'etection an' location of the 'elaination itho(t co%arin& the vi+ration 'ata fro
the healthy state of the co%osite str(ct(re# The %a%er %resents the o+servation +ase'
on the finite eleent analysis of a co%osite %late ith an' itho(t 'elaination an'
then on the e%erients on the co%osite %lates ith an' itho(t 'elaination#
Key words: Co%osite str(ct(res, /inite Eleent Mo'ellin&, *elaination,
0onlinear interaction, i+ration res%onse#
mailto:[email protected]:[email protected]:[email protected]:[email protected] -
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.! Introd"ction
*elaination 'etection in the co%osite str(ct(res is one of the active research areas
since 'eca'es# 0(+er of research has +een carrie' o(t to eet this o+2ective# The
ost coonly (se' etho' in the literat(re is +ase' on the vi+ration analysis 1-
435# These vi+ration +ase' st('ies incl('e 6a7 chan&e in o'al %araeters 6nat(ralfre.(encies an' o'e sha%es7 1-85 or the vi+ration res%onses +y co%arin& the 'ata
ith the healthy state con'ition 1, 4, 5, 6+7 a%%in& the 'eflection sha%e of the
s(rface of the co%osite str(ct(re either thro(&h the e+e''e' sensors 19-4:5 or
scannin& the co%lete s(rface +y the laser vi+roeter 1;-1= 1?5 hich is also not a
%ractical a%%roach (sin& the noral %ie=o-electrical shakers &enerally (se' in the
vi+ration testin
Consi'erin& these liitations, a si%le etho' hich ay +e relatively easy to
i%leent in %ractice an' not re.(irin& 'ata fro the healthy state con'ition is
nee'e' to eet the o+2ective# >ence it is ass(e' that the ecitation at a fe loer
o'es +y the conventional shaker is alays %ossi+le an' then scannin& the co%lete
co%osite s(rface thro(&h the laser vi+roeter ay not i%ose any %ractical
liitations# @ith this ass(%tion, the ecitation of a co%osite %late ith an' itho(t
a 'elaination at a fe loer o'es an' then the velocity res%onses eas(reents at
n(+er of %oints has +een consi'ere' in the %resent st('y# "nitially, the finite eleent
6/E7 o'el of a co%osite %late ith an' itho(t 'elaination has +een 'evelo%e' to
si(late this e%erient# The %late as then ecite' at a fe loer o'es so that the
a%lifie' stea'y state res%onses can +e o+serve'# The nonlinear interaction +eteen
the 'elainate' layers for the %late ith 'elaination as also consi'ere' '(rin& the
vi+ration res%onse estiation# The +reathin& 6o%enin& an' closin&7 of a crack in a
str(ct(re '(rin& vi+ration alays %ro'(ce the hi&her haronics of the ecitin&
fre.(ency 485, hence the siilar res%onses are e%ecte' for the 'elainate'
co%osite str(ct(re# "n fact, it has +een o+serve' that the nonlinear interaction
+eteen the 'elainate' layers %ro'(ce hi&her haronics of the ecitin& fre.(ency#
These hi&her haronics are then o+serve' to +e (sef(l for the 'etection an' location
of the 'elaination itho(t co%arin& the vi+ration 'ata fro the healthy state of the
co%osite str(ct(re# The %a%er %resents the o+servation +ase' on the finite eleentanalysis of a co%osite %late ith an' itho(t 'elaination an' then e%eriental
vali'ation on the co%osite %lates ith an' itho(t 'elaination#
#.! Composite $lates
The e%eriental co%osite %late a'e of E-&lass fi+re an' e%oy resins has +een
consi'ere' for the %resent st('y# "t has a total of < layers of e.(al thickness hich are
arran&e' as :o 9:o:o9:o9:o:o 9:o:o5 as shon in /i&(re 1# The si=e of the test
%late is 8:: 8:: an' total thickness 3#?# Bne test sa%le of the
co%soite %late has the 'elaination of 8: 8: si=e +eteen 3 r' an' 8th
layers fro the to% s(rface an' its centre locate' at the coor'inate of 64;?,
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4;?7 fro the one corner of the %late# These test %lates are shon in /i&(re 4# The
aterial %ro%erties of the %late are the 'ensity, 11
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/i&(re 3 6a7 An /E o'el of the E-&lass fi+re %late 6also shoin& 'elaination re&ion7, 6+7
Meas(reent locations 6arke' as 7 in /E si(lation
Ta+le 1 Calc(late' nat(ral fre.(encies
Mo'es >ealthy Plate *elainate' Plate
1 ?:#:3 >= 89#9 >=
4 1:1#84 >= 1::#9; >=
3 138#1 >= 138#41 >=8 183#?? >= 183#4 >=
? 1#= 1#=
4?#= 4?#?? >=
+.! esponse 'stimation
The velocity res%onses have +een estiate' (sin& the e%licitly 'ynaics analysis in
the ADAUS #1: /E co'e for +oth healthy an' 'elainate' %lates hen ecite' at
fe loer o'es# The non-linear interaction +eteen the 'elainate' layers has also
+een si(late' '(rin& the res%onse estiation for the 'elainate' %lates# Ty%ical
velocity a%lit('e s%ectra hen ecite' at Mo'e 3 an' 8 are shon in /i&(re 8# "t has
+een o+serve' that the o'es other than the ecite' o'e are also %resent in the
s%ectra for +oth the healthy an' 'elainate' %lates, %ro+a+ly '(e to anisotro%ic
aterial %ro%erties of the co%osite aterial# "n a''ition, the %roinent hi&her
haronics of the ecitin& fre.(ency has also +een o+serve' as e%ecte' '(e to the
nonlinear interaction +eteen the 'elainate' layers for the 'elainate' %late
co%are' to the healthy %late# The ecitin& fre.(ency 61F7 an' its hi&her haronics
64F, 3F, G7 are arke' as H-I in /i&(re 8#
x
y
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4:: 8:: 9:: 60S>7# The co%onent 1F hich is the a%lit('e
of the ecitin& o'e has not +een incl('e' in the e.(ation 617 +eca(se the o%eration
'eflection sha%e 6B*S7 at 1F &enerally re%resents the o'e sha%e of the ecitin&
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o'e# >oever, the a%lit('e of thehi&her haronics 'efinitely relate' to the si=e
an' location of the 'elaination# /inally the contri+(tion fro fe loer o'es has
+een 'efine' as JC((lative 0S> 6C0S>7 at each eas(re' location hich has
+een co%(te' as
==
q
iijj NSHCNSH 1 (2)
here q is the n(+er of o'es (se' for this co%(tation# >ere the first ? o'es
have +een (se'# The %lots of the C0S> of the %late ith an' itho(t 'elaination are
shon in /i&(re ? hich %rovi'es ecellent in'ication for the location of the
'elaination#
:
4::
8::
:
4::
8::
:
:#4
:#8
:#9
:#ealthy Plate *elainate' Plate
1 ?= ?;#8 >=
4 94#
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/i&(re ; Meas(reent locations 64? %oints in ? ? e.(i'istant &ri's7 on the %late
i+ration e%erients have also +een con'(cte' on the healthy an' 'elainate'
co%osite %lates shon in /i&(re # Co%osite %lates ere ecite' thro(&h the
shaker at the first < o'es# The stea'y state acceleration res%onses ere then
collecte' fro 4? locations on the %lates (sin& the n(+er of acceleroeters in
a+sence of the laser vi+roeter# The 'ata ere collecte' to the co%(ter at the
sa%lin& fre.(ency of 4: k>= for the f(rther analysis# The acceleration si&nals ere
then analy=e' to co%(te the velocity a%lit('e s%ectra for +oth the 4 cases# /e
ty%ical acceleration s%ectra for the healthy %late an' the 'elainate' %late are shonin /i&(re < hen ecite' at o'e at locations 9 an' 4: 6arke' in /i&(re ;7# The
H1FI in the s%ectra in'icates the ecitin& fre.(ency an' the co%onents 4F, 3F, G
re%resent the hi&her haronics of the ecitin& fre.(ency in the s%ectra# Bnce a&ain, it
has +een o+serve' fro the s%ectra that '(e to anisotro%ic nat(re of the co%osite
%late, the o'es other than the ecitin& o'e also contri+(te to the overall res%onse#
"n a''ition to this effect, the nonlinear interactions +eteen the 'elainate' layers in
the %late ith 'elaination also intro'(ce the hi&her haronics of the ecitin&
fre.(ency# Altho(&h the %resence of s(ch hi&her haronics has also +een o+serve' in
the healthy co%osite %late, %ro+a+ly a&ain '(e to anisotro%ic %ro%erty of the
co%osite aterial, +(t the effect as not %roinent co%are' to the %late ith
'elaination# The %lots of the C0S> of the %late ith an' itho(t 'elaination for
the e%eriental cases are also shon in /i&(re 9 hich, once a&ain, %rovi'es
ecellent in'ication for the location of the 'elaination# >ence the e%eriental
o+servations are consistent ith the /E si(late' res(lts#
697
6197
67
637617
6437
6117
61;7
61?7
6417 64?7
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4:: 8:: 9::
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interaction between the delaminated layers when excited at a few lower modes produced the
prominent higher harmonics components of the exciting frequency. Then the normalised
contribution of higher harmonic components at each mode has been defined as the
Normalised Summation of Harmonics (NSH) and then its cumulative for a few lower
modes as CNSH. The delamination location has clearly been identified by the proposed
CNSH method for the simulated examples. The method has then further been validated by the
experiments conducted on the composite plates same as used in the FE simulations with and
without delamination. Hence the proposed CNSH can be deemed as a good indicator for the
delamination detection. Since the development of method uses the velocity responses at just
few lower modes so it is practically feasible for real structure using the conventional shaker
and the laser vibrometer for this purpose.
References
15 *ia= al'es S# >#, So(tis C# *elaination 'etection in co%osite lainates fro
variations of their o'al characteristics# )o(rnal of So(n' an' i+ration 1999N 44#, Ki K# Location of 'elaination in lainate'
co%osite %lates +y %(lse' laser holo&ra%hy# B%tics an' Lasers in En&ineerin& 4::9N
8; 6?7! ?
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185 Ar A# 0#, El-*akhakhni @# @# 0on-'estr(ctive eval(ation of lainate' co%osite
%lates (sin& 'ielectroetry sensors# Sart Materials an' Str(ct(res 4::9N 1