Issue 29
E. Grande et alii, Frattura ed Integrità Strutturale, 29 (2014) 325-333; DOI: 10.3221/IGF-ESIS.29.28
being r i a normally distributed random variable with zero mean and the noise level in terms of percentage. In Fig. 7-10 are reported the results derived from the damage identification considering DF and MDF technique, the single damage and the multiple damage scenarios and by accounting 100 samples with a 0.5% noise level. The obtained results confirm the capability of both DF and MDF to improve the damage detection with respect to traditional approach. At the same, greater dispersion of results characterizes both DF and MDF. This evidence is due to the fact that DF and MDF techniques use several times the same mode of vibration and, consequently, the corresponding errors.
Multiple DataFusion MDF - rdie 2
index
Multiple DataFusion MDF - MSECR j
index
Multiple DataFusionMDF - rdie 2
index
Multiple DataFusion MDF - MSECR j
index
1
1
1
1
0.8
0.8
0.8
0.8
)
)
j
j
)
0.6
)
2
0.6
0.6
0.6
2
0.4
0.4
0.4
0.4
BPAs(rdie
BPAs(rdie
0.2
0.2 BPAs(MSECR
0.2 BPAs(MSECR
0.2
0
0
0
0
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
elements
elements
elements
elements
=[ 1
, 2
, 3
=[ 1
, 5
, 7
]
]
Multiple DataFusion MDF - rdie 2
index
Multiple DataFusion MDF - MSECR j
index
Multiple DataFusionMDF - rdie 2
index
Multiple DataFusion MDF - MSECR j
index
1
1
1
1
0.8
0.8
0.8
0.8
)
)
j
j
)
)
0.6
0.6
0.6
0.6
2
2
0.4
0.4
0.4
0.4
BPAs(rdie
BPAs(rdie
0.2 BPAs(MSECR
0.2 BPAs(MSECR
0.2
0.2
0
0
0
0
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 9 10 11 12
elements
elements
elements
elements
=[ 3
, 5
, 7
=[ 3
, 4
, 6
]
]
Figure 4 : MDF technique – S6D15 damage case
1
1
1
1
1
1
DataFusion -DF
DataFusion - DF
0.9
0.9
0.9
0.9
0.9
0.9
0.8
0.8
0.8
0.8
0.8
0.8
0.7
0.7
0.7
0.7
0.7
0.7
0.6
0.6
0.6
0.6
0.6
0.6
j
j
0.5
0.5
0.5
0.5
0.5
0.5
rdi
rdi
0.4 BPAs
0.4 BPAs
0.4
0.4
0.4
0.4
MSECR
MSECR
0.3
0.3
0.3
0.3
0.3
0.3
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0
0
0
0
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
elements
elements
elements
elements
elements
elements
=[ 1
, 2
, 3
=[ 1
, 5
, 7
]
]
1
1
1
1
1
1
DataFusion -DF
DataFusion - DF
0.9
0.9
0.9
0.9
0.9
0.9
0.8
0.8
0.8
0.8
0.8
0.8
0.7
0.7
0.7
0.7
0.7
0.7
0.6
0.6
0.6
0.6
0.6
0.6
j
j
0.5
0.5
0.5
0.5
0.5
0.5
rdi
rdi
0.4 BPAs
0.4 BPAs
0.4
0.4
0.4
0.4
MSECR
MSECR
0.3
0.3
0.3
0.3
0.3
0.3
0.2
0.2
0.2
0.2
0.2
0.2
0.1
0.1
0.1
0.1
0.1
0.1
0
0
0
0
0
0
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
1 2 3 4 5 6 7 8 9101112
elements
elements
elements
elements
elements
elements
=[ 3 ] Figure 5 : rdi and MSECRj index vs. DF technique – M6,11D10 damage case , 5 , 7 ] =[ 3 , 4 , 6
330
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