PSI - Issue 14

J. Prawin et al. / Procedia Structural Integrity 14 (2019) 234–241 J. Prawin et.al.,/ Structural Integrity Procedia 00 (2018) 000–000

240

7

1.6x10 ‐15

4x10 ‐4

Adaptive Volterra filter Adaptive Volterra filter (15% noise)

1.2x10 ‐15

2x10 ‐4

0

8.0x10 ‐16

‐2x10 ‐4 Response(m)

4.0x10 ‐16

PSD Amplitude

‐4x10 ‐4

0 25 50 75 100 125 150 175 200 225 250 0.0

0.75

0.81

0.88

0.94

1.00

Time (sec)

Frequency

(a)

(b)

2x10 ‐10

1.5x10 ‐30 3.0x10 ‐30 4.5x10 ‐30 6.0x10 ‐30 7.5x10 ‐30 9.0x10 ‐30 PSD Amplitude

Adaptive Volterra filter Adaptive Volterra filter (15% noise)

2x10 ‐10

1x10 ‐10

5x10 ‐11 Response(m)

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0

0 25 50 75 100 125 150 175 200 225 250 0.0

Time (sec)

Frequency

(c)

(d)

8.0x10 ‐43

0

adaptive Volterra filter adaptive Volterra filter (15%noise)

‐4x10 ‐20

6.0x10 ‐43

‐8x10 ‐20

4.0x10 ‐43

Response(m)

‐1x10 ‐19

2.0x10 ‐43

PSD amplitude

‐2x10 ‐19

0 25 50 75 100 125 150 175 200 225 250 0.0

0.00 0.05 0.10 0.15 0.20 0.25 0.30

Time (sec)

Frequency

(e)

(f)

Fig. 3. Various Response Components of Breathing Crack Problem

(a) 1 st component response; (b) Power spectrum of 1 st component; (c) 2 nd component response; (d) Power spectrum of 2 nd component; ( e) 4 th component response; ( f ) Power spectrum of 4 th component Since this is a bilinear problem and approximated by a fourth order polynomial in a particular amplitude domain,