Browse > Article
http://dx.doi.org/10.5000/EESK.2006.10.6.029

Determination of Optimal Accelerometer Locations using Mode-Shape Sensitivity  

Kwon, Soon-Jung (인하대학교 토목공학과)
Shin, Soo-Bong (인하대학교 토목공학과)
Publication Information
Journal of the Earthquake Engineering Society of Korea / v.10, no.6, 2006 , pp. 29-36 More about this Journal
Abstract
This paper proposes a new algorithm of MS-EIDV (modal sensitivity-effective independence distribution vector) for determining optimal accelerometer locations (OAL) by using the Fisher Information Matrix (FIM) derived from mode-shape sensitivities. Also, the paper provides a reasonable guideline for selecting OAL which can reflect dynamic responses of a structure effectively. Since OAL should be determined with known values of structural parameters but since the parameters can be estimated by applying an inverse method such as SI (system identification) using measured response, the paper proposes a statistical method to overcome the paradox by considering the error bound of the structural parameters. To examine the proposed methods, a frequency-domain SI method has been applied. By using the identified results, the minimum necessary number of accelerometers could be selected depending on the number of target measurable modes. Through simulation studies, the results by applying EIDV method directly using the information of mode shapes were compared with those by applying the proposed MS-EIDV.
Keywords
OAL; FIM; MS-EIDV; mode-shape sensitivity; SI;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Vestouni, F. and Capecchi, D., 'Damage detection in beam structures based on frequency measurements,' J. of Engineering Mechanics, ASCE, Vol. 126, No.7, 2000, pp. 761-768   DOI   ScienceOn
2 Ge, L. and Soong, T.T., 'Damage identification through Regularization Method 1: Theory,' J. of Engineering Mechanics, ASCE, Vol. 124, Issue I, 1998, pp. 103-108   DOI   ScienceOn
3 Huang, C.-H., 'A non-linear inverse vibration problem of estimating the time-dependent stiffuess coefficients by conjugate gradient method,' Int. J. for Numerical Methods in Engineering, Vol. 50, 2001, pp. 1545-1558   DOI   ScienceOn
4 Kang, J.S., Park, S.-K., Shin, S. and Lee, H.S., 'Structural system identification in time domain using measured acceleration,' J. of Sound and Vibration, Vol. 288, Issues 1, 2005, pp. 215-234   DOI   ScienceOn
5 Udwadia, F.E., 'Methodology for optimum sensor locations for parameter identification in dynamic systems,' J. of Eng. Mech., ASCE, Vol. 120, No.2, 1994, pp. 368-390   DOI   ScienceOn
6 Cherng A.P. 'Optimal sensor placement for modal parameter identification using signal subspace correlation techniques,' Mechanical Systems and Signal Processing, Vol. 17, Issue 2, 2003, pp. 361-378   DOI   ScienceOn
7 Fadale, T.D., Nenarokomov, A.V. and Emery, A.F., 'Two Approaches to Optimal Sensor Locations,' J. of Heat Transfer, Vol. 117, 1995, pp. 373-379   DOI   ScienceOn
8 Lee, I.-W. and Jung, G.-H., 'An efficient algebraic method for the computation of natural frequency and mode shape sensitivities-part I. distinct natural frequencies,' Computers & Structures, Vol. 62, No.3, 1997, pp. 429-435   DOI   ScienceOn
9 Kammer, D.C., 'Optimal Sensor Placement for Modal Identification Using System- Realization Methods,' J. of Guidance, AlAA, Vol. 19, No.3, 1996, pp. 729-731   DOI   ScienceOn
10 정대성, 김철영, 김남식, 윤자걸, '상시진동실험을 이용한 남해대교의 동특성 평가',, 대한토목학회논문집, 제 22권, 제 6-A 호, 2002, pp. 1501- 1514
11 Hjelmstad, K.D. and Banan, M.R., 'Time-Domain Parameter Estimation Algorithm for Structures I: Computational Aspects,' J. of Engineering Mechanics, ASCE, Vol. 121, Issues 3, 1995, pp. 424-434   DOI   ScienceOn
12 O'Connor J.J. and Robertson E.F, 'MacTutor History of Mathematics,' http://www-history.mcs.st-andrews.ac.uk/ Mathematicians/Fisher.html, 2003
13 Penny, J.E.T, Friswell, M.l. and Garvey, S.D., 'Automatic choice of measurement locations for dynamic testing,' AlAA J., Vol. 32, No.2, 1994, pp. 407-414
14 Hjelrnstad, K.D. and Shin, S., 'Crack identification in a cantilever beam from modal response,' J. of Sound and Vibration, Vol. 198, No.5, 1996, pp. 527-545   DOI   ScienceOn
15 권순정, '주파수영역과 시간영역에서의 가속도계 최적위치 결정 및 SI기법에 의한 검증', 박사학위논문, 인하대학교,2006
16 Jang, J,H,, Yeo, I.H., Shin, S. and Chang, S.P., 'Experimental Investigation of System- Identification-Based Damage Assessment on Structures,' J. of Struc. Eng., ASCE, Vol. 12,8 No.5, 2002, pp. 673-682
17 Li, Y.Y. and Yam, L.H., 'Sensitivity analyses of sensor location for vibration control and damage detection of thin-plate systems,' J. of Sound and Vibration, Vol. 240, Issues 4, 2001, pp. 623-636   DOI   ScienceOn
18 Liu, C. and Tasker, F., 'Sensor Placement for Time-Domain Modal Parameter Estimation,' J. of Guidance, control, and Dynamics, AIAA, Vol. 19, No.6, 1996, pp. 1349-1356   DOI   ScienceOn
19 Goodwin, G.C. and Payne, R.L., Dynamic System identification Experiment Design and Data Analysis, Academic Press, New York, 1977