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The study of optimal sensor placement for estimation of modal parameters * ** Byung-kyoo Jung, Weui-bong Jeong and Jae-ho Kim , . . , . , impact test , . . EFI DPR, EVP . . EFI-DPR Kammer(1991) EFI (effective independence) Imamovic(1994) ; E-mail : [email protected] Tel : (051)510-2337, Fax : (051)517-3805 ADPR(average driving point residue) (1) . (1) , FEM , . . EVP(eigenvalue vector product) (2) . (2) (nodal lines) EFI-DPR . (genetic algorithm) . fitness function , fitness function -159- 부산대학교 | IP: 164.125.62.72 | Accessed 2015/12/30 11:31(KST)

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Page 1: ÿ C2c Ó «0 G,ë,ó& G&[4³G s,³'X -¯G%G à· 2016-01-05 · ÿ C2c Ó «0 G,ë,ó& G&[4³G s,³'X -¯G%G ... G² G ADPR(average driving point residue)9 G G¿G² G. .ë9 *²

The study of optimal sensor placement for estimation of modal parameters

* **

Byung-kyoo Jung, Weui-bong Jeong and Jae-ho Kim

,

.

.

,

. ,

impact test

,

.

.

EFI DPR, EVP

.

.

EFI-DPR Kammer(1991) EFI

(effective independence) Imamovic(1994)

;E-mail : [email protected] : (051)510-2337, Fax : (051)517-3805

ADPR(average driving point residue)

(1) .

(1)

, FEM

,

.

.

EVP(eigenvalue vector product)

(2) .

(2)

(nodal lines)

EFI-DPR

.

(genetic algorithm)

.

fitness

function ,

fitness function

-159-부산대학교 | IP: 164.125.62.72 | Accessed 2015/12/30 11:31(KST)

Page 2: ÿ C2c Ó «0 G,ë,ó& G&[4³G s,³'X -¯G%G à· 2016-01-05 · ÿ C2c Ó «0 G,ë,ó& G&[4³G s,³'X -¯G%G ... G² G ADPR(average driving point residue)9 G G¿G² G. .ë9 *²

(condition number)

(3), (4) .

(3)

( )

.

8 .

Fig.1 .

0 100 200 300 400 500 6000

50

100

150

200

250

300

350

400

Fig.1 Optimal sensor placement

( : EFI-DPR, : EVP, : Genetic algorithm)

EFI DPR, EVP,

(GA)

.

2

FRF ,

.

LSCF(least square complex frequency)

,

. Auto-MAC(modal

assurance criterion)

,

Table 1~3 .

Table 1 Comparison of natural frequency (Hz)Mode 1st 2nd 3rd 4th 5th

Analysis 43.685 84.046 135.254 151.878 175.241

EFI-DPR 43.686 84.045 135.259 151.884 175.221

EVP 43.685 84.046 135.253 151.888 175.220

GA 43685 84.046 135.254 151.879 175.239

Table 2 Comparison of modal damping (%)Mode 1st 2nd 3rd 4th 5th

Analysis 0.664 0.282 1.761 1.950 1.193

EFI-DPR 0.666 0.282 1.763 1.943 1.186

EVP 0.663 0.282 1.758 1.940 1.181

GA 0.664 0.282 1.761 1.949 1.190

Table 3 Sum of off-diagonal of Auto-MACAnalysis EFI-DPR EVP GA

Auto-MAC(Mode=1~5) 0.0 1.670 0.0944 0.3585

Auto-MAC(Mode=1~10) 0.0 9.2567 4.5553 3.2866

Table 1 2

,

1%

. Auto-MAC

, EVP GA

EFI DPR

.

GA EVP

.

EFI DPR,

EVP, GA

.

. ,

1% ,

GA

.

(No. UD110035DD) .

-160-부산대학교 | IP: 164.125.62.72 | Accessed 2015/12/30 11:31(KST)