TECHNICAL PAPERS
Feb 1, 2008

Nonlinear Model-Based System Identification of Lead–Rubber Bearings

Publication: Journal of Structural Engineering
Volume 134, Issue 2

Abstract

A nonlinear model-based system identification method is proposed, formulated, implemented, and applied to a three-span continuous base-isolated bridge. Transverse and rotational rigid-body motions of the bridge superstructure are formulated into two degrees-of-freedom dynamic governing equations. To model hysteretic behavior of lead–rubber bearings, the Menegotto–Pinto model is used. The proposed system identification procedures consist of two phases to address ill-conditioning issues. The uncertainty of parameters is considered, which results in probability distributions instead of single values for identified parameters. The proposed system identification is adopted in the comparison of experimental data sets. Hypothesis testing is used to determine the closeness of identification results. The proposed method is applied to quick-release field experiments on the bridge to investigate aging and temperature dependent effects in lead–rubber bearings.

Get full access to this article

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

Acknowledgments

Financial support is gratefully acknowledged from the Multidisciplinary Center for Earthquake Engineering Research under FHwA Contract No. UNSPECIFIEDDTFH-61-92-C-00106 on Seismic Vulnerability of Existing Highway Construction. NYSDOT made available the bridge and facilitated site access and field coordination, including providing traffic control during many of the field tests. Field work and logistics provided by numerous former graduate students and departmental technicians are gratefully acknowledged, in particular that of Dr. Daniel Wendichansky, Dr. Gökhan Pekcan, and Mr. Mark Pitman. Collaboration on various aspects of the project with Dr. John Mander is also gratefully acknowledged.

References

Åström, K. J., and Eykhoff, P. (1971). “System identification—A survey.” Automatica, 7(2), 123–162.
Brown, R. P., and Butler, T. (2000). Natural ageing of rubber—Changes in physical properties over 40 years, Rapra Technology, U.K.
Bui, H. D. (1994). Inverse problems in the mechanics of materials: An introduction, CRC, Boca Raton, Fla.
Chen, Q. B., Douglas, B. M., Maragakis, E. A., and Buckle, I. G. (2002). “Extraction of hysteretic properties of seismically isolated bridges from quick-release field tests.” Earthquake Eng. Struct. Dyn., 31(2), 333–351.
Coleman, T., Brabch, M. A., and Grace, A. (1999). Optimization toolbox: User’s guide, The Math Works Inc., ⟨http://www.mathworks.com/access/helpdesk/help/pdf_doc/optim/optim_tb.pdf⟩ (Jan. 2003).
Douglas, B. M. (1976). “Quick release pullback testing and analytical seismic analysis of a six-span composite girder bridge.” Rep. No. FHWA-RD-76-173, FHwA, Washington, D.C.
Douglas, B. M., Maragakis, E. A., and Nath, B. (1990). “Static deformations of bridges from quick-release dynamic experiments.” J. Struct. Eng., 116(8), 2201–2213.
Douglas, B. M., and Norris, G. M. (1983). “Bridge dynamic tests: Implications for seismic design.” Journal of Technical Topics in Civil Engineering, 109(1), 1–22.
Douglas, B. M., and Reid, W. H. (1982). “Dynamic tests and system identification of bridges.” J. Struct. Div., 108(10), 2295–2312.
Gilani, A. S., Mahin, S. A., Fenves, G. L., Aiken, I. D., and Chavez, J. W. (1995). “Field testing of bridge design and retrofit concepts (Part 1 of 2). Field testing and dynamic analysis of a four-span seismically isolated viaduct in Walnut Creek, California.” UCB/EERC-95/14, Earthquake Engineering Research Center, Univ. of California at Berkeley, Berkeley, Calif.
Hu, G. (1998). “Cold- and warm-weather testing and modeling of a seismically isolated slab-on-girder bridge under quick-release loading.” MSc thesis, State Univ. of New York at Buffalo, Buffalo, N.Y.
Imai, H., Yun, C.-B., Maruyama, O., and Shinozuka, M. (1989). “Fundamentals of system identification in structural dynamics,” NCEER-89-0008, State Univ. of New York at Buffalo, Buffalo, N.Y.
Jang, J.-H., Yeo, I., Shin, S., and Chang, S.-P. (2002). “Experimental investigation of system-identification-based damage assessment on structures.” J. Struct. Eng., 128(5), 673–682.
Kelly, J. M. (1997). Earthquake resistant design with rubber, Springer, London.
Kim, D. K. (1996). “Experimental and theoretical studies on the seismic performance of structural bearing systems.” Ph.D. dissertation, State Univ. of New York at Buffalo, Buffalo, N.Y.
Lam, V. K. M. (1990). “The system identification of a nonlinearly responding base isolated bridge.” School of Engineering Rep. No. 486, Dept. Civil Engineering, Univ. of Auckland, Auckland, New Zealand.
Mander, J. B. (1983). “Seismic design of bridge piers.” Ph.D. thesis, Univ. of Canterbury, Christchurch, New Zealand.
Menegotto, M., and Pinto, P. (1973). “Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending.” Proc., Symp. Resistance and Ultimate Deformability of Struct. Acted on by Well-Defined Repeated Loads, IABSE Reports, Vol. 13.
Natke, H. G., and Cempel, C. (1997). Model-aided diagnosis of mechanical systems, Springer, Berlin.
Natke, H. G., Cottin, N., and Prells, U. (1994). “Problems and related countermeasures in mathematical model improvement: A survey.” Proc., Structural Safety and Reliability (Proc., of ICOSSAR ’93), Balkema, Rotterdam, The Netherlands.
Natke, H. G., and Yao, J. T. P. (1992). “Regularization methods for identification of structural damage.” Engineering Mechanics, Proc., of the 9th Conf., College Station, Tex., ASCE, New York.
Nayfeh, A. H. (1980). Introduction to perturbation techniques, Wiley, New York.
Pekcan, G., Chen, S. S., and Mander, J. B. (2000). “Energy based system identification using quick-release experiments.” Advanced Technology in Structural Engineering, Proc., Structures Congress 2000, Philadelphia.
Pekcan, G., Mander, J. B., and Chen, S. S. (1995). “The seismic response of a 1:3 scale model R.C. structure with elastomeric spring dampers.” Earthquake Spectra, 11(2), 249–267.
Robson, B. N., and Harik, I. E. (1998). “Pullback testing of seismically isolated P/C I-girder bridge.” J. Struct. Eng., 124(8), 930–937.
Sivaselvan, M. V., and Reinhorn, A. M. (2000). “Hysteretic models for deteriorating inelastic structures.” J. Eng. Mech., 126(6), 633–640.
Ventura, C. E., Felber, A. J., and Stiemer, S. F. (1996). “Determination of the dynamic characteristics of the Colquitz River bridge by full-scale testing.” Can. J. Civ. Eng., 23(2), 536–548.
Wendichansky, D. A., Chen, S. S., and Mander, J. B. (1998). “Experimental investigation of the dynamic response of two bridges before and after retrofitting with elastomeric bearings.” MCEER-98-0012, Multidisciplinary Center for Earthquake Engineering Research, Buffalo, N.Y.
Yeo, I., Shin, S., Lee, H. S., and Chang, S.-P. (2000). “Statistical damage assessment of framed structures from static responses.” J. Eng. Mech., 126(4), 414–421.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 134Issue 2February 2008
Pages: 318 - 328

History

Received: Oct 10, 2005
Accepted: Mar 9, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008

Permissions

Request permissions for this article.

Notes

Note. Associate Editor: Vinay Kumar Gupta

Authors

Affiliations

Il-Sang Ahn, A.M.ASCE
KPFF Consulting Engineers, 6080 Center Dr., Suite 300, Los Angeles, CA 90045; formerly, Postdoctoral Research Associate, Dept. of Civil, Structural, and Environmental Engineering, Univ. at Buffalo, Buffalo, NY 14260 (corresponding author). E-mail: [email protected]
Stuart S. Chen, A.M.ASCE
P.E.
Associate Professor, Dept. of Civil, Structural, and Environmental Engineering, 212 Ketter Hall, Univ. at Buffalo, Buffalo, NY 14260.

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