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Implementation and Validation of a Numerical Model for Lead-Rubber Seismic Isolation Bearings

Published online by Cambridge University Press:  15 November 2017

T. Zhou
Affiliation:
School of Civil Engineering Southeast University Nanjing, China
Y. F. Wu
Affiliation:
School of Civil Engineering Southeast University Nanjing, China
A. Q. Li*
Affiliation:
School of Civil Engineering Southeast University Nanjing, China Beijing Advanced Innovation Center for Future Urban Design Beijing University of Civil Engineering and Architecture Beijing, China
*
*Corresponding author (220150981@seu.edu.cn)
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Abstract

This paper presents a numerical model for accurately representing the behaviors of lead-rubber bearings during earthquakes. This model, which is implemented in OpenSees as a user-defined element, accounts for the mechanical characteristics of bearings as follows: firstly, the bi-lateral interaction effect of hysteretic behaviors, as well as the variation in horizontal stiffness due to vertical load, is considered; secondly, the reduced vertical stiffness under large lateral displacement is incorporated by the piecewise linear formulation, and the linear reduction method is employed to determine the stability limit of bearings in the deformed configuration; furthermore, the cavitation and permanent damage effects in bearings are mathematically included. To validate the numerical model, simulation analyses are performed for a series of static and dynamic loading tests, and the numerical results show reasonable agreement with experimental ones, which indicates that the proposed model provides an effective tool for the failure mode analyses of bearings and the dynamic analyses of seismic isolated structures.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2017 

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References

REFERENCES

Chimamphant, S. and Kasai, K., “Comparative Response and Performance of Base-Isolated and Fixed-Base Structures,” Earthquake Engineering & Structual Dynamics, 45, pp. 527 (2016).Google Scholar
Huang, Y. N., Whittaker, A. S., Kennedy, R. P. and Mayes, R. L., “Response of Base-Isolated Nuclear Structures for Design and Beyond-Design Basis Earthquake Shaking,” Earthquake Engineering & Structual Dynamics, 42, pp. 339356 (2013).Google Scholar
Cardone, D. and Flora, A., “An Alternative Approach for the Seismic Rehabilitation of Existing RC Buildings Using Seismic Isolation,” Earthquake Engineering & Structual Dynamics, 45, pp. 91111 (2016).Google Scholar
Chalhoub, M. S. and Kelly, J. M., “Effect of Bulk Compressibility on the Stiffness of Cylindrical Base Isolation Bearings,” International Journal of Solids and Structures, 26, pp. 743760 (1990).Google Scholar
Tsai, H. C., “Compression Stiffness of Circular Bearings of Laminated Elastic Material Interleaving with Flexible Reinforcements,” International Journal of Solids and Structures, 43, pp. 34843497 (2006).Google Scholar
Huang, W. H., “Bi-Directional Testing, Modeling and System Response of Seismically Isolated Bridges,” Ph.D Dissertation, Department of Civil and Environmental Engineering, University of California, Berkeley, CA, U.S.A. (2002).Google Scholar
Harvey, P. S. and Gavin, H. P., “Truly Isotropic Biaxial Hysteresis with Arbitrary Knee Sharpness,” Earthquake Engineering & Structual Dynamics, 43, pp. 20512057 (2014).Google Scholar
Warn, G. P., Whittaker, A. S. and Constantinou, M. C., “Vertical Stiffness of Elastomeric and Lead-Rubber Seismic Isolation Bearings,” Journal of Structual Engineering, 133, pp. 12271236 (2007).Google Scholar
Weisman, J. and Warn, G. P., “Stability of Elastomeric and Lead-Rubber Seismic Isolation Bearings,” Journal of Structual Engineering, 138, pp. 215223 (2012).Google Scholar
Sanchez, J., Masroor, A., Mosqueda, G. and Ryan, K., “Static and Dynamic Stability of Elastomeric Bearings for Seismic Protection of Structures,” Journal of Structual Engineering, 139, pp. 11491159 (2013).Google Scholar
Kumar, M., Whittaker, A. S. and Constantinou, M. C., “Experimental Investigation of Cavitation in Elastomeric Seismic Isolation Bearings,” Engineering Structures, 101, pp. 290305 (2015).Google Scholar
Crowder, A. P. and Becker, T. C., “Experimental Investigation of Elastomeric Isolation Bearings with Flexible Supporting Columns,” Journal of Structual Engineering, 143, 04017057 (2017).Google Scholar
Tubaldi, E., Mitoulis, S., Ahmadi, H. and Muhr, A., “A Parametric Study on the Axial Behaviour of Elastomeric Isolators in Multi-Span Bridges Subjected to Horizontal Seismic Excitations,” Bulletin of Earthquake Engineering, 14, pp. 12851310 (2016).Google Scholar
Koh, C. G. and Kelly, J. M., “A Simple Mechanical Model for Elastomeric Bearings Used in Base Isolation,” International Journal of Mechanical Sciences, 30, pp. 933943 (1988).Google Scholar
Ryan, K. L., Kelly, J. M. and Chopra, A. K., “Nonlinear Model for Lead-Rubber Bearings Including Axial-Load Effects,” Journal of Engineering Mechanics, 131, pp. 12701278 (2005).Google Scholar
Yamamoto, S., Kikuchi, M., Ueda, M. and Aiken, I. D., “A Mechanical Model for Elastomeric Seismic Isolation Bearings Including the Influence of Axial Load,” Earthquake Engineering & Structual Dynamics, 38, pp. 157180 (2009).Google Scholar
Kikuchi, M., Nakamura, T. and Aiken, I. D., “Three-Dimensional Analysis for Square Seismic Isolation Bearings under Large Shear Deformations and High Axial Loads,” Earthquake Engineering & Structual Dynamics, 39, pp. 15131531 (2010).Google Scholar
Ishii, K., Kikuchi, M., Nishimura, T. and Black, C. J., “Coupling Behavior of Shear Deformation and End Rotation of Elastomeric Seismic Isolation Bearings,” Earthquake Engineering & Structual Dynamics, 46, pp. 677694 (2017).Google Scholar
Kumar, M., Whittaker, A. S. and Constantinou, M. C., “An Advanced Numerical Model of Elastomeric Seismic Isolation Bearings,” Earthquake Engineering & Structual Dynamics, 43, pp. 19551974 (2014).Google Scholar
Han, X. and Warn, G. P., “Mechanistic Model for Simulating Critical Behavior in Elastomeric Bearings,” Journal of Structual Engineering, 141, 04014140 (2015).Google Scholar
Maureira, N., de la Llera, J., Oyarzo, C. and Miranda, S., “A Nonlinear Model for Multilayered Rubber Isolators Based on a Co-Rotational Formulation,” Engineering Structures, 131, pp. 113 (2017).Google Scholar
Nagarajaiah, S., Reinhorn, A. M. and Constantinou, M. C., “Nonlinear Dynamic Analysis of 3-D-Base-Isolated Structures,” Journal of Structual Engineering, 117, pp. 20352054 (1991).Google Scholar
Park, Y. J., Wen, Y. K. and Ang, A. H-S., “Random Vibration of Hysteretic Systems under Bi-Directional Ground Motions,” Earthquake Engineering & Structual Dynamics, 14, pp. 543557 (1986).Google Scholar
OpenSees V2.5.0 [Computer software]. Pacific Earthquake Engineering Research Center (PEER), University of California, Berkeley, CA, U.S.A. (2006) (Available from: http://opensees.berkeley.edu) [Accessed on March 2017].Google Scholar
Ismail, M., Ikhouane, F. and Rodellar, J., “The Hysteresis Bouc-Wen Model, a Survey,” Archives of Computational Methods in Engineering, 16, pp. 161188 (2009).Google Scholar
Ikhouane, F. and Rodellar, J., Systems with Hysteresis: Analysis, Identification and Control Using the Bouc-Wen Model, 1st Edition, John Wiley & Sons, Chichester, pp. 63110 (2007).Google Scholar
Wen, Y. K., “Method for Random Vibration of Hysteretic Systems,” Journal of the Engineering Mechanics Division, 102, pp. 249263 (1976).Google Scholar
Casciati, F., “Stochastic Dynamics of Hysteretic Media,” Structural Safety, 6, pp. 259269 (1989).Google Scholar
Buckle, I. G., Constantinou, M., Dicleli, M. and Ghasemi, H., “Seismic Isolation of Highway Bridges,” Rep. No. MCEER-06-SP07, Multidisciplinary Center for Earthquake Engineering Research, the State University of New York at Buffalo, NY, U.S.A. pp. 5174 (2006).Google Scholar
Fenves, G. L., Huang, W. H., Whittaker, A. S., Clark, P. W. and Mahin, S. A., “Modeling and Characterization of Seismic Isolation Bearings,” Proceedings of the U.S.-Italy Workshop on Seismic Protective Systems for Bridges, NY, U.S.A. (1998).Google Scholar
Warn, G. P., “The Coupled Horizontal-Vertical Response of Elastomeric and Lead-Rubber Seismic Isolation Bearings,” Ph.D Dissertation, Department of Civil, Structural and Environmental Engineering, the State University of New York at Buffalo, NY, U.S.A. (2006).Google Scholar
Guide Specificationsfor Seismic Isolation Design, American Association of State Highway and Transportation Officials (AASHTO), Washington DC, U.S.A. pp. 2325 (2014).Google Scholar
Haringx, J.On Highly Compressible Helical Springs and Rubber Rods, and Their Application for Vibration-Free Mountings, 3,” Philips Research Reports, 4, pp. 206220 (1949).Google Scholar
Kelly, J. M. and Konstantinidis, D. A., Mechanics of Rubber Bearings for Seismic and Vibration Isolation, 1st Edition, John Wiley & Sons, New York, pp. 83110 (2011).Google Scholar
Montuori, G. M., Mele, E., Marrazzo, G., Brandonisio, G. and Luca, A. D., “Stability Issues and Pressure-Shear Interaction in Elastomeric Bearings: The Primary Role of the Secondary Shape Factor,” Bulletin of Earthquake Engineering, 14, pp. 569597 (2016).Google Scholar
Kumar, M., “Seismic Isolation of Nuclear Power Plants Using Elastomeric Bearings,” Ph.D Dissertation, Department of Civil, Structural and Environmental Engineering, the State University of New York at Buffalo, NY, U.S.A. (2015).Google Scholar
Gent, A. N., Engineering with Rubber: How to Design Rubber Components, 3rd Edition, Hanser Publications, Cincinnati, pp 119150 (2012)Google Scholar