Modal Testing, Finite-Element Model Updating, and Dynamic Analysis of an Arch Type Steel Footbridge
Publication: Journal of Performance of Constructed Facilities
Volume 23, Issue 2
Abstract
This paper describes an arch type steel footbridge, its analytical modeling, modal testing, finite-element model updating, and dynamic analysis. A modern steel footbridge which has an arch type structural system and is located on the Karadeniz coast road in Trabzon, Turkey is selected as an application. An analytical modal analysis is performed on the developed three-dimensional finite-element model of footbridge to provide analytical frequencies and mode shapes. Field ambient vibration tests on the footbridge deck under natural excitation such as human walking and traffic loads are conducted. The output-only modal parameter identification is carried out by using peak picking of the average normalized power spectral densities in the frequency domain and stochastic subspace identification in the time domain, and dynamic characteristics such as natural frequencies, mode shapes, and damping ratios are determined. The finite-element model of the footbridge is updated to minimize the differences between analytically and experimentally estimated modal properties by changing some uncertain modeling parameters such as material properties. Dynamic analyses of the footbridge before and after finite-element model updating are performed using the 1992 Erzincan earthquake record. At the end of the study, maximum differences in the natural frequencies are reduced from 22 to only 5% and good agreement is found between analytical and experimental dynamic characteristics such as natural frequencies and mode shapes by model updating. Also, maximum displacements and principal stresses before and after model updating are compared with each other.
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Acknowledgments
This research was supported by the TUBITAK and Karadeniz Technical University under Research Grant Nos. UNSPECIFIED106M038, UNSPECIFIED2005.112.001.1, and UNSPECIFIED2006.112.001.1, respectively.
References
Abdel-Ghaffar, A. M. (1978). “Vibration studies and tests of a suspension bridge.” Earthquake Eng. Struct. Dyn., 6(5), 473–496.
Bachmann, H., Pretlove, A. J., and Rainer, H. (1995). “Dynamic forces from rhythmical human body motions.” Vibration problems in structures: Practical guidelines, Birkhauser, Basel, Switzerland.
Bayraktar, A., Altunışık, A. C., Sevim, B., and Türker, T. (2007a). “Modal testing and finite element model calibration of an arch type steel footbridge.” Steel Compos. Struct., 7(6), 487–502.
Bayraktar, A., Altunışık, A. C., Türker, T., and Sevim, B. (2007b). “The determination of earthquake safety of historical masonry minarets by operational modal analysis.” Proc., Symp., 1st Reinforcement and Transfer into the Future of Historical Structures, Turkish Chamber of Civil Engineers, Ankara, Turkey, 415–428.
Bayraktar, A., Altunışık, A. C., Türker, T., and Sevim, B. (2007c). “The model updating of historical masonry bridges using operational modal analysis method.” Proc., Symp. 1st Reinforcement and Transfer into the Future of Historical Structures, Turkish Chamber of Civil Engineers, Ankara, Turkey, 429–440.
Bayraktar, A., Türker, T., Sevim, B., Altunışık, A. C. (2007d). “Determination of dynamic characteristics of steel footbridges by analytical and experimental modal analyses.” Proc., Int. Symp. on Advances in Earthquake and Structural Engineering, Süleyman Demirel Univ., Isparta, Turkey, 163–172.
Bayraktar, A., Türker, T., Sevim, B., and Altunışık, A. C. (2007e). “Determination of dynamic characteristics of Turkish style RC minarets by analytical and experimental modal analyses.” Proc., Int. Symp. on Advances in Earthquake and Structural Engineering, Süleyman Demirel Univ., Isparta, Turkey, 185–194.
Brincker, R., Zhang, L., and Andersen, P. (2000). “Modal identification from ambient responses using frequency domain decomposition.” Proc., 18th Int. Modal Analysis Conf., Society for Experimental Mechanics, Inc., Bethel, Conn., 625–630.
Brownjohn, J. M. W. (1997). “Vibration characteristics of a suspension footbridge.” J. Sound Vib., 202(1), 29–46.
Cantieni, R. (2004). “Experimental methods used in system identification of civil engineering structures.” Proc., 2nd Workshop: Problemi di Vibrazioni nelle Strutture Civili e nelle Costruzioni Meccaniche, Perugia, 10–11.
Ceballos, M. A., Car, E. J., Prato, T. A., Prato, C. A., and Alvarez, L. M. (1998). “Experimental and numerical determination of the dynamic properties of the reactor building of Atucha II NPP.” Nucl. Eng. Des., 182, 93–106.
Chang, C. C., Chang, T. Y. P., and Zhang, Q. W. (2001). “Ambient vibration of long-span cable-stayed bridge.” J. Bridge Eng., 6(1), 46–53.
Dooms, D., Degrande, G., and Roeck, G. D. (2006). “Finite element modelling of a silo based on experimental modal analysis.” Eng. Struct., 28, 532–542.
Ewins, D. J. (1984). Modal testing: Theory and practice, Research Studies Press, Letchworth, Hertfordshire, U.K.
Gentile, C., and Saisi, A. (2007). “Ambient vibration testing of historic masonry towers for structural identification and damage assessment.” Constr. Build. Mater., 21, 1311–1321.
Lord, J. F., Ventura, C. E., and Dascotte, E. (2004). “Automated model updating using ambient vibration data from a 48-storey building in Vancouver.” Proc., 22nd Int. Modal Analysis Conf., Society for Experimental Mechanics, Inc., Bethel, Conn., 26–29.
MAPA. (2007). “MNG holding MAPA engineering, construction and contracting sector.” Trabzon Coast Road Project, Trabzon.
Modak, S. V., Kundra, T. K., and Nakra, B. C. (2002). “Comparative study of model updating methods using experimental data.” Comput. Struct., 80(5–6), 437–447.
OMA. (2006). Operational modal analysis, release 4.0, Structural Vibration Solution A/S, Brüel & Kjær, Denmark.
Pacific Earthquake Engineering Research (PEER). (2008). “Pacific Earthquake Engineering Research Centre.” ⟨http://peer.berkeley.edu/smcat/data⟩.
Peeters, B. (2000). “System identification and damage detection in civil engineering.” Ph.D. thesis, Katholicke Univ., Leuven, Belgium.
Peeters, B., and De Roeck, G. (1999). “Reference based stochastic subspace identification in civil engineering.” Proc., 2nd Int. Conf. on Identification in Engineering Systems, J. E. Mottershead and A. W. Lee, Swansea, U.K., 639–648.
Ren, W. X., Zatar, W., and Harik, I. E. (2004a). “Ambient vibration-based seismic evaluation of a continuous girder bridge.” Eng. Struct., 26(5), 630–640.
Ren, W. X., Zhao, T., and Harik, I. E. (2004b). “Experimental and analytical modal analysis of steel arch bridge.” J. Struct. Eng., 130(7), 1022–1031.
Reynolds, P., Pavic, A., and Ibrahim, Z. (2004). “A remote monitoring system for stadia dynamics.” Proc. Inst. Civ. Eng., Struct. Build., 157, 385–393.
Roeck, G. D., Peeters, B., and Ren, W.-X. (2000). “Benchmark study on system identification through ambient vibration measurements.” Proc., 18th Int. Modal Analysis Conf.: A Conf. on Structural Dynamics, Society for Experimental Mechanics, Inc., Bethel, Conn., 1106–1112.
Salawu, O. S., and Williams, C. (1995). “Review of full-scale dynamic testing of bridge structure.” Eng. Struct., 17(2), 13–21.
SAP2000. (1998). Integrated finite element analysis and design of structures, Computers and Structures Inc., Berkeley, Calif.
Sortis, A. D., Antonacci, E., and Vestroni, F. (2005). “Dynamic identification of a masonry building using forced vibration tests.” Eng. Struct., 27, 155–165.
Van Overschee, P., and De Moor, B. (1996). “Subspace identification for linear systems: Theory.” Implementation and applications, Kluwer Academic, Dordrecht, The Netherlands.
Wu, J. R., and Li, Q. S. (2004). “Finite element model updating for a high-rise structure based on ambient vibration measurements.” Eng. Struct., 26(7), 979–990.
Zhang, Q. W., Chang, T. Y. P., and Chang, C. C. (2001). “Finite element model updating for the Kap Shui Mun cable-stayed bridge.” J. Bridge Eng., 6(4), 285–293.
Zhou, J., Lin, G., Zhu, T., Jefferson, A. D., and Williams, F. W. (2000). “Experimental investigation into seismic failure of high arch dams.” J. Struct. Eng., 126(8), 926–935.
Zivanovic, S., Pavic, A., and Reynolds, P. (2005). “Vibration serviceability of footbridges under human-induced excitation: A literature review.” J. Sound Vib., 279, 1–74.
Zivanovic, S., Pavic, A., and Reynolds, R. (2006). “Modal testing and FE model tuning of a lively footbridge structure.” Eng. Struct., 28, 857–868.
Zivanovic, S., Pavic, A., and Reynolds, P. (2007). “Finite element modelling and updating of a lively footbridge: The complete process.” J. Sound Vib., 301, 126–145.
Information & Authors
Information
Published In
Journal of Performance of Constructed Facilities
Volume 23 • Issue 2 • April 2009
Pages: 81 - 89
Copyright
© 2009 ASCE.
History
Received: Sep 21, 2007
Accepted: Dec 2, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
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