TECHNICAL PAPERS
Dec 1, 2006

Condensed Model Identification and Recovery for Structural Damage Assessment

Publication: Journal of Structural Engineering
Volume 132, Issue 12

Abstract

This study aims to develop a system identification methodology for determining structural parameters of linear dynamic system, taking into consideration of practical constraints such as insufficient sensors. A new methodology called the condensed model identification and recovery method is presented for identification of full stiffness matrices for damage assessment based on incomplete measurement. With the proposed methodology, it is possible to obtain several condensed stiffness matrices, so as to identify individual stiffness coefficients for the structure. Three different model condensation methods, namely static condensation, dynamic condensation, and system equivalent reduction expansion process, are adopted. Having identified the condensed model, the stiffness parameters in the entire system are recovered by extracting sufficient information with either fixed sensor or repositioned sensor approach. The efficiency of the proposed technique is shown by numerical simulation study for multistory shear buildings subjected to random forces, accounting for effects of signal noise. In addition, laboratory experiments are carried out to illustrate the performance of the proposed method. It is shown both numerically and experimentally that the proposed methodology gives reasonably accurate identification in terms of locating and quantifying structural damage.

Get full access to this article

View all available purchase options and get full access to this article.

References

Adeli, H., and Saleh, A. (1999). Control, optimization, and smart structures, Wiley, New York.
Agbabian, M. S., Masri, S. F., Miller, R. K., and Caughey, T. K. (1991). “System identification approach to detection of structural changes.” J. Eng. Mech., 117(2), 370–390.
Allemang, R. J., and Brown, D. L. (1982). “A correlation coefficient for modal vector analysis.” Proc., 1st Int. Modal Analysis Conf., SEM, Orlando, Fla., 110–116.
Alvin, K. F., and Park, K. C. (1994). “Second-order structural identification procedure via state-space-based system identification.” AIAA J., 32(2), 397–406.
British Standard Institution (BSI). (1987). “British standard structural use of steelwork in building. Part 5, Code of practice for design of cold formed sections.” BS5950, London.
DeAngelis, M., Lus, H., Betti, R., and Longman, R. W. (2002). “Extraction physical parameters of mechanical models from identified state space representations.” Trans. ASME, J. Appl. Mech., 69(5), 617–625.
Ghanem, R., and Shinozuka, M. (1995). “Structural-system identification. I: Theory.” J. Eng. Mech., 121(2), 255–264.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization, and machine learning, Addison-Wesley, Reading, Mass.
Guyan, R. J. (1965). “Reduction of stiffness and mass matrices.” AIAA J., 3(2), 380.
Hjelmstad, K. D., and Banan, M. R. (1995). “Time-domain parameter estimation algorithm for structures. I: Computational aspects.” J. Eng. Mech., 121(3), 424–434.
Juang, J.-N., and Pappa, R. S. (1985). “An eigensystem realization algorithm for model parameter identification and model reduction.” J. Guid. Control Dyn., 8(5), 620–627.
Juang, J.-N., Phan, M., Horta, L. G., and Longman, R. W. (1993). “Identification of observer/Kalman filter Markov parameters: Theory and experiments.” J. Guid. Control Dyn., 16(2), 320–329.
Kidder, R. L. (1973). “Reduction of structural frequency equations.” AIAA J., 11(6), 892.
Koh, C. G., Qiao, G. Q., and Quek, S. T. (2003). “Damage identification of structural members: Numerical and experimental studies,” Structural Health Monitoring, 2(1), 41–55.
Koh, C. G., Quek, S. T., and Tee, K. F. (2002). “Damage identification of structural dynamic system.” Proc., 2nd Int. Conf. on Structural Stability and Dynamics, World Scientific, Singapore, 780–785.
Koh, C. G., See, L. M., and Balendra, T. (1991). “Estimation of structural parameters in time domain: A substructure approach.” Earthquake Eng. Struct. Dyn., 20(8), 787–801.
Lee, S. Y., and Haldar, A. (2003). “Reliability of frame and shear wall structural systems. I: Static loading.” J. Struct. Eng., 129(2), 224–232.
Lin, C. C., Soong, T. T., and Natke, H. G. (1990). “Real-time system identification of degrading structures.” J. Eng. Mech., 116(10), 2258–2274.
Lus, H. (2001). “Control theory based system identification.” Ph.D. thesis, Columbia Univ., New York.
Miller, C. A. (1980). “Dynamic reduction of structural models.” J. Struct. Div., 106(10), 2097–2108.
Natke, H. G., and Yao, J. T. P. (1988). Structural safety evaluation based on system identification approaches, Vieweg Verlag, Wiesbaden, Germany.
O’Callahan, J., Avitabile, P., and Riemer, R. (1989). “System equivalent reduction expansion process (SEREP).” Proc., 7th Int. Modal Analysis Conf., SEM, Las Vegas, Union College, Schenectady, N.Y., 29–37.
Papadopoulos, M., and Garcia, E. (1996). “Improvement in model reduction schemes using the system equivalent reduction expansion process.” AIAA J., 34(10), 2217–2219.
Paz, M. (1985). Structural dynamics, theory and computation, Van Nostrand Reinhold, New York.
Qu, Z.-Q, and Fu, Z.-F. (2000). “An iterative method for dynamic condensation of structural matrices.” J. Mechanical System and Signal Processing, 14(4), 667–678.
Sarma, K. C., and Adeli, H. (2000). “Fuzzy genetic algorithm for optimization of steel structures.” J. Struct. Eng., 126(5), 596–604.
Shinozuka, M., Yun, C. B., and Imai, H. (1982). “Identification of linear structural dynamic system.” J. Engrg. Mech. Div., 108(6), 1371–1390.
Srinivasan, M. G., and Kot, C. A. (1992). “Effects of damage on the modal parameters of a cylindrical shell.” Proc., 10th Int. Modal Analysis Conf., SEM, San Diego, 529–535.
Tee, K. F. (2004). “Substructural identification with incomplete measurement for structural damage assessment.” Doctoral dissertation, National Univ. of Singapore, Singapore.
Tseng, D.-H., Longman, R. W., and Juang, J.-N. (1994). “Identification of gyroscopic and nongyroscopic second order mechanical systems including repeated problems.” Adv. Astronaut. Sci., 87(1), 145–165.
Yang, C. D., and Yeh, F. B. (1990). “Identification, reduction, and refinement of model parameters by the eigensystem realization algorithm.” J. Guid. Control Dyn., 13(6), 1051–1059.
Young, P. C. (1970). “An instrumental variable method for real-time identification of a noisy process.” Automatica, 6(2), 271–287.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 132Issue 12December 2006
Pages: 2018 - 2026

History

Received: Nov 1, 2004
Accepted: Feb 24, 2006
Published online: Dec 1, 2006
Published in print: Dec 2006

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Ahmet Emin Aktan

Authors

Affiliations

C. G. Koh, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, National Univ. of Singapore, 1 Engineering Dr., 2, Singapore 117576 (corresponding author). E-mail: [email protected]
Research Fellow, School of Mathematics and Statistics, Univ. of Plymouth, Plymouth, Devon PL4 8AA, U.K. E-mail: [email protected]
S. T. Quek, M.ASCE [email protected]
Professor, Dept. of Civil Engineering, National Univ. of Singapore, 1 Engineering Dr., 2, Singapore 117576. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share