Numerical Method for Earthquake-Induced Pounding between Girder and Shear Key. I: Theory

Abstract:

Earthquake ground motion can induce out-of-phase vibrations between girders and shear keys, which can result in impact or pounding. The paper investigated pounding between girder and shear key from an analytical perspective. By introducing the initial gap in the analysis model, the elastomer stiffness played a role in the transverse vibration as well. A simplified model of bridge transverse seismic response considering girder-shear key pounding was developed. The equations of motion of the bridge response to transverse ground excitation were assembled and solved using the central difference method. Pounding was simulated using a contact force-based model—Kelvin model. Thus, the girder-shear key pounding effects and bridge transverse seismic response can be obtained by using a step-by-step direct integration the central difference method with the appropriate parameters. The proposed method is very useful in the seismic design of bridge.

• Periodical: Applied Mechanics and Materials (Volumes 34-35)
• Pages: 1402-1405
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.34-35.1402
• Online since: October 2010
• Authors: Wei He
• Keywords: Impact Force, Numerical Simulation, Pounding, Seismic Response

References

[1] Megally S. H., Silva P. F., Seible F. Seismic response of sacrificial shear keys in bridge abutment,. Rep. to CALTRANS, Contract No. 59A0337, Dept. of Structural Engineering, UC San Diego, San Diego, (2001).

[2] Bozorgzadeh A., Megally S.H., Ashford S., Restrepo J.I. Seismic response of sacrificial exterior shear keys in bridge abutments,. Rep. to CALTRANS, Contract No. 59A0337, Dept. of Structural Engineering, UC San Diego, San Diego, (2007).

DOI: 10.1061/(asce)1084-0702(2006)11:5(555)

[3] Shervin M. Effect of side retainers on seismic response of bridges with elastomeric bearings,. Journal of Bridge Engineering, Vol. 9, pp.95-100, (2004).

DOI: 10.1061/(asce)1084-0702(2004)9:1(95)

[4] Goel R. K., Chopra A. K. Role of shear keys in seismic behavior of bridges crossing fault-rupture zones,. Journal of Bridge Engineering, Vol. 13, pp.398-408, (2008).

DOI: 10.1061/(asce)1084-0702(2008)13:4(398)

[5] LI Q., ZHAO S.C. Wenchuan Earthquake engineering damage analysis,. Southwest Jiaotong University Press, Chengdu, China, (2008).

[6] WANG D. S., GUO X., SUN Z.G. Damage to highway bridges during Wenchuan Earthquake,. Journal Of Earthquake Engineering And Engineering Vibration. Vol. 29, pp.84-94, (2009).

[7] Liu S., Liu J. B., Fang E. The advances of studies on the dynamic contact problem and its numerical methods. Engineering Mechanics, Vol. 16, pp.14-28, (1999).

[8] Dahlbuist G. A special stability problem for linear multistep methods', BIT, Vol. 3, pp.27-43, (1963).

[9] Hilber H. M. Collocation, dissipation and 'overshoot' for time integration schemes in structural dynamics,. Earthquake Engng Struct. Dyn., Vol. 6, pp.99-117, (1978).

DOI: 10.1002/eqe.4290060111

[10] Liu J.B., Wang D. Yao L. A method for calculating the dynamic effect of dynamic and static friction on a contactable crack. Acta Mechanica Sinica, Vol. 26, pp.494-502, (1994).

[11] J B Liu, D Wang, L Yao. A contact force model in the dynamic analysis of contactable crack. Acta Mechanica Solida Sinica(English Edition), Vol. 6, pp.439-452, (1993).

[12] J B Liu, S K Sharan, D Wang et al. A contact force model for the dynamic response of cracks. Computers &Structures, Vol. 52, pp.659-666, (1994).

DOI: 10.1016/0045-7949(94)90347-6

[13] J B Liu, Liu Shu, Du Xiuli. A method for the analysis of dynamic response of structure containing non-smooth contactable interfaces. Acta Mechanica Sinica, Vol. 15, pp.63-72, (1999).

DOI: 10.1007/bf02487902

[14] Komodromos P., Polycarpou P. C., Papaloizou L. et al. Response of seismically isolated buildings considering poundings. Earthquake Engng. Struct. Dyn., Vol. 36, pp.1605-1622, (2007).

DOI: 10.1002/eqe.692

[15] Anagnostopoulos S. A. Equivalent viscous damping for modeling inelastic impacts in earthquake pounding problems,. Earthquake Engineering And Structural Dynamics, Vol. 33, pp.897-902, (2004).

DOI: 10.1002/eqe.377

[16] Komodromos P., Polycarpou P. C., Papaloizou L., et. al. Response of seismically isolated buildings considering poundings,. Earthquake Engng Struct. Dyn., Vol. 36, pp.1605-1622, (2007).

DOI: 10.1002/eqe.692