Technical Papers
Jul 13, 2016

Rigid-Body Motion of Horizontally Curved Bridges Subjected to Earthquake-Induced Pounding

Publication: Journal of Bridge Engineering
Volume 21, Issue 12

Abstract

Horizontally curved bridges have been observed to suffer severe structural damage during past earthquakes. Unseating of the deck from abutments is one of the typical modes of failure of horizontal curved bridges. This type of failure is caused primarily because of excessive in-plane rigid-body motion of decks of these bridges, mainly due to the irregular geometry of the bridge itself and seismic pounding between the deck and abutments. This paper investigates the influence of seismic pounding on rigid-body motion of horizontally curved bridges during strong earthquakes using an analytical approach. For this purpose, a 3-degree-of-freedom nonlinear model has been developed to capture main dynamic parameters affecting seismic response of horizontally curved bridges. The accuracy of this model has been verified by finite-element modeling of a typical horizontal curved bridge. An extensive parametric analysis has been performed by varying key parameters, including the size of the gap between the deck and abutments, the subtended angle of the deck, and the presence of friction. Numerical results show that in-plane response quantities of horizontally curved bridges, such as radial and azimuthal displacements of corners of the deck and rotation of the deck about the mass center, are affected noticeably because of seismic pounding. Validity and reasonableness of seismic design guideline recommendations for regular curved bridges in the presence of seismic pounding have also been investigated.

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References

AASHTO. (2011). Guide specifications for LRFD seismic bridge design, 2nd Ed., Washington, DC.
Agrawal, A. K., and Amjadian, M. (2016). “Seismic component devices.” Chapter 20, Innovative bridge design handbook, A. Pipinato, ed., Butterworth-Heinemann, Boston, 531–553.
Amirihormozaki, E., Pekcan, G., and Itani, A. (2015). “Analytical modeling of horizontally curved steel girder highway bridges for seismic analysis.” J. Earthquake Eng., 19(2), 220–248.
Amjadian, M. (2010). “Seismic behavior control of a skewed highway bridge using passive (seismic isolation) and semi-active methods.” M.Sc. thesis, International Institute of Earthquake Engineering and Seismology, Tehran, Iran (in Farsi).
Amjadian, M., and Kalantari, A. (2012). “Influence of seismic pounding on dynamic response of skewed highway bridges.” Proc., 15th World Conf. on Earthquake Engineering, Sociedade Portuguesa de Engenharia Sismica, Lisbon, Portugal.
Amjadian, M., Kalantari, A., and Agrawal, A. K. (2016). “Analytical study of the coupled motions of decks in skew bridges with the deck-abutment collision.” J. Vib. Control, in press.
Bouc, R. (1967). “Forced vibration of mechanical systems with hysteresis.” Proc., 4th Conf. on Nonlinear Oscillation, Institute of Radio Engineering and Electronics for the Czechoslovak Academy of Sciences, Prague, Czech Republic.
Bruneau, M. (1998). “Performance of steel bridges during the 1995 Hyogoken–Nanbu (Kobe, Japan) earthquake-a North American perspective.” Eng. Struct., 20(12), 1063–1078.
Caltrans. (2010). Seismic design criteria, version 1.6, Sacramento, CA.
Dimitrakopoulos, E. G. (2011). “Seismic response analysis of skew bridges with pounding deck–abutment joints.” Eng. Struct., 33(3), 813–826.
Guo, A., Li, Z., Li, H., and Ou, J. (2009). “Experimental and analytical study on pounding reduction of base-isolated highway bridges using MR dampers.” Earthquake Eng. Struct. Dyn., 38(11), 1307–1333.
Han, Q., Du, X., Liu, J., Li, Z., Li, L., and Zhao, J. (2009). “Seismic damage of highway bridges during the 2008 Wenchuan earthquake.” Earthquake Eng. Eng. Vib., 8(2), 263–273.
Ijima, K., Obiya, H., Aramaki, G., and Kawasaki, N. (2001). “A study on preventing the fall of skew and curved bridge decks by using rubber bearings.” Struct. Eng. Mech., 12(4), 347–362.
Jangid, R. (2004). “Seismic response of isolated bridges.” J. Bridge Eng., 156–166.
Jankowski, R. (2005). “Non-linear viscoelastic modelling of earthquake-induced structural pounding.” Earthquake Eng. Struct. Dyn., 34(6), 595–611.
Jankowski, R. (2006). “Analytical expression between the impact damping ratio and the coefficient of restitution in the non-linear viscoelastic model of structural pounding.” Earthquake Eng. Struct. Dyn., 35(4), 517–524.
Jankowski, R. (2008). “Earthquake-induced pounding between equal height buildings with substantially different dynamic properties.” Eng. Struct., 30(10), 2818–2829.
Jennings, P. C. (1971). “Engineering features of the San Fernando earthquake of February 9, 1971.” EERL-71-02, Engineering Research Laboratory, California Institute of Technology, Pasadena, CA.
Kalantari, A., Amjadian, M. (2011). “Investigation of the seismic pounding effect on torsional response of highway bridges.” Proc., 6th International Conf. of Seismology and Earthquake Engineering, International Institute of Earthquake Engineering and Seismology, Tehran, Iran.
Kalantari, A., and Amjadian, M. (2009). “The effect of direction of orthogonal horizontal components of earthquake on the nonlinear response of skewed bridges.” Proc., 8th Int. Congress on Civil Engineering, Shiraz Univ., Shiraz, Iran.
Kalantari, A., and Amjadian, M. (2010a). “An approximate method for dynamic analysis of skewed highway bridges with continuous rigid deck.” Eng. Struct., 32(9), 2850–2860.
Kalantari, A., and Amjadian, M. (2010b). “An approximate method for dynamic analysis of highway skewed bridges with continuous deck” Proc., 9th U.S. National and 10th Canadian Conf. on Earthquake Engineering, Toronto, Canada, Earthquake Engineering Research Institute, Oakland, CA.
Karnopp, D. (1985). “Computer Simulation of stick-slip friction in mechanical dynamic systems.” J. Dyn. Syst. Meas. Control, 107(1), 100–103.
Kawashima, K. (2012). “Damage of bridges due to the 2011 great east Japan earthquake.” J. Japan Assoc. Earthquake Eng., 12(4), 4319–4338.
Kawashima, K., Takahashi, Y., Ge, H., Wu, Z., and Zhang, J. (2009). “Reconnaissance report on damage of bridges in 2008 Wenchuan, China, earthquake.” J. Earthquake Eng., 13(7), 965–996.
Kawashima, K., Unjoh, S., Hoshikuma, J. I., and Kosa, K. (2011). “Damage of bridges due to the 2010 Maule, Chile, earthquake.” J. Earthquake Eng., 15(7), 1036–1068.
Kou, C., Benzley, S., Huang, J., and Firmage, D. (1992). “Free vibration analysis of curved thin‐walled girder bridges.” J. Struct. Eng., 2890–2910.
Li, X., Zhang, D., Yan, W., Chen, Y., and Xie, W. (2014). “Shake-table test for a typical curved bridge: Wave passage and local site effects.” J. Bridge Eng., 04014061.
Linzell, D., Hall, D., and White, D. (2004). “Historical perspective on horizontally curved I girder bridge design in the United States.” J. Bridge Eng., 218–229.
Liu, K., and Wang, L. H. (2014). “Earthquake damage of curved highway bridges in 2008 Wenchuan earthquake.” Adv. Mater. Res, 838–841, 1571–1576.
Maleki, S. (2001). “Free vibration of skewed bridges.” J. Vib. Control, 7(7), 935–952.
Maleki, S. (2002a). “Effect of deck and support stiffness on seismic response of slab-girder bridges.” Eng. Struct., 24(2), 219–226.
Maleki, S. (2002b). “Deck modeling for seismic analysis of skewed slab-girder bridges.” Eng. Struct., 24(10), 1315–1326.
MATLAB R2015a [Computer software]. The MathWorks, Natick, MA.
McKenna, F., Mazzoni, S., Fenves, G. L., and Scott, M. H. (2013). Open system for earthquake engineering simulation (OpenSEES)–version. 2.4.4, Pacific Earthquake Engineering Research Center, Univ. of California, Berkeley, CA.
Meirovitch, L. (1970). Methods of analytical dynamics, 1st Ed., McGraw-Hill, New York.
Meng, J. Y., and Lui, E. M. (2000). “Torsional effects on short-span highway bridges.” Comput. Struct., 75(6), 619–629.
Meng, J. Y., Lui, E. M., and Liu, Y. (2001). “Dynamic response of skew highway bridges.” J. Earthquake Eng., 5(2), 205–223.
Muthukumar, S., and DesRoches, R. (2006). “A Hertz contact model with non-linear damping for pounding simulation.” Earthquake Eng. Struct. Dyn., 35(7), 811–828.
Mylonakis, G., and Gazetas, G. (2000). “Seismic soil-structure interaction beneficial or detrimental?” J. Earthquake Eng., 4(3), 277–301.
Pahlavan, H., Zakeri, B., Amiri, G., and Shaianfar, M. (2015). “Probabilistic vulnerability assessment of horizontally curved multiframe RC box-girder highway bridges.” J. Perform. Constr. Facil., 04015038.
Park, Y. J., Wen, Y. K., and Ang, A. H. S. (1986). “Random vibration of hysteretic systems under bi-directional ground motions.” Earthquake Eng. Struct. Dyn., 14(4), 543–557.
PEER (Pacific Earthquake Engineering Center). (2010). “Ground motion database.” ⟨http://ngawest2.berkeley.edu⟩ (Nov. 7, 2015).
Seo, J. (2013). “Statistical determination of significant curved I-girder bridge seismic response parameters.” Earthquake Eng. Eng. Vib., 12(2), 251–260.
Seo, J., and Linzell, D. G. (2012). “Horizontally curved steel bridge seismic vulnerability assessment.” Eng. Struct., 34 21–32.
Seo, J., and Linzell, D. G. (2013a). “Use of response surface metamodels to generate system level fragilities for existing curved steel bridges.” Eng. Struct., 52 642–653.
Seo, J., and Linzell, D. (2013b). “Nonlinear seismic response and parametric examination of horizontally curved steel bridges using 3D computational models.” J. Bridge Eng., 220–231.
Stronge, W. J. (2004). Impact mechanics, 1st Ed., Cambridge University Press, Cambridge, UK.
Sun, Z., Wang, D., Guo, X., Si, B., and Huo, Y. (2012). “Lessons learned from the damaged Huilan Interchange in the 2008 Wenchuan earthquake.” J. Bridge Eng., 15–24.
Tassios, T., and Vintzēleou, E. (1987). “Concrete‐to‐concrete friction.” J. Struct. Eng., 832–849.
Tondini, N., and Stojadinovic, B. (2012). “Probabilistic seismic demand model for curved reinforced concrete bridges.” Bull. Earthquake Eng., 10(5), 1455–1479.
Tseng, W. S., and Penzien, J. (1975a). “Seismic response of long multiple-span highway bridges.” Earthquake Eng. Struct. Dyn., 4(1), 25–48.
Tseng, W. S., and Penzien, J. (1975b). “Seismic analysis of long multiple-span highway bridges.” Earthquake Eng. Struct. Dyn., 4(1), 1–24.
Wang, C., and Wen, Y. (2000). “Evaluation of pre-Northridge low-rise steel buildings. I: Modeling.” J. Struct. Eng., 1160–1168.
Wen, Y. K. (1976). “Method for random vibration of hysteretic systems.” J. Eng. Mech. Div., 102(2), 249–263.
Wieser, J., Zaghi, A., Maragakis, M., and Buckle, I. (2012). “A methodology for the experimental evaluation of seismic pounding at seat-type abutments of horizontally curved bridges.” Struct. Congr., 613–624.
Williams, D., and Godden, W. (1979). “Seismic response of long curved bridge structures: Experimental model studies.” Earthquake Eng. Struct. Dyn., 7(2), 107–128.
Wilson, T., Mahmoud, H., and Chen, S. (2014). “Seismic performance of skewed and curved reinforced concrete bridges in mountainous states.” Eng. Struct., 70(1), 158–167.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 21Issue 12December 2016

History

Received: Dec 7, 2015
Accepted: May 18, 2016
Published online: Jul 13, 2016
Published in print: Dec 1, 2016
Discussion open until: Dec 13, 2016

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Mohsen Amjadian, S.M.ASCE [email protected]
Ph.D. Candidate, Dept. of Civil and Environmental Engineering, The City College of the City Univ. of New York, 160 Convent Ave., New York, NY 10031 (corresponding author). E-mail: [email protected]
Anil K. Agrawal, M.ASCE [email protected]
Professor, Dept. of Civil and Environmental Engineering, The City College of the City Univ. of New York, 160 Convent Ave., New York, NY 10031. E-mail: [email protected]

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