Technical Papers
Sep 4, 2023

Implementation, Verification, and Validation of an Impact Model for Lateral Numerical Modeling of Unbonded Fiber-Reinforced Elastomeric Isolators

Publication: Journal of Structural Engineering
Volume 149, Issue 11

Abstract

Unbonded fiber-reinforced elastomeric isolators (UFREIs) are a potentially low-cost and viable alternative for application as base isolators in low-rise buildings due to their adaptive characteristics. The behavior is denoted adaptive because the device exhibits well-defined lateral softening and subsequent substantial stiffening responses depending on the loading level. Since adaptive characteristics could have a significant effect on the seismic response of base-isolated structures, proper modeling of adaptive devices is crucial. There are several numerical modeling techniques for considering the adaptive characteristics of UFREIs. However, to date, none accurately fit the experimental hysteresis loops of UFREIs at large displacements where there is more dissipated energy due to full rollover. In this paper, an impact model is added to the leading numerical models of UFREIs (i.e., the Bouc–Wen model with a fifth-order polynomial and the algebraic model) to accurately capture the force-displacement hysteresis in lower and larger displacement amplitudes. The proposed impact model is then validated using prior experimental cyclic loading tests for square and rectangular specimens and shake table tests for different earthquake records. The effect of the impact model was also investigated through comparison with the response of the existing phenomenological models (e.g., the Bouc–Wen model with a fifth-order polynomial, the algebraic model, and the elastomeric bearing (Bouc–Wen) element). The results show that incorporating the impact model will improve the ability of the current numerical models to capture the behavior of UFREIs, particularly at larger amplitudes.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. Some or all data, models, or code used during the study were provided by a third party (Foster 2012). Direct requests for these materials may be made to the provider as indicated in the Acknowledgments.

Acknowledgments

The authors acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC) (funding Reference Nos. RGPIN-2019-03924 and RGPIN-2019-04332). Portions of the experimental data were provided by Barry Foster and Michael Tait (McMaster University); their collaboration is greatly appreciated.

References

Al-Anany, Y. M., M. A. Moustafa, and M. J. Tait. 2018. “Modeling and evaluation of a seismically isolated bridge using unbonded fiber-reinforced elastomeric isolators.” Earthquake Spectra 34 (1): 145–168. https://doi.org/10.1193/072416EQS118M.
Al-Anany, Y. M., N. C. Van Engelen, and M. J. Tait. 2017. “Vertical and lateral behavior of unbonded fiber-reinforced elastomeric isolators.” J. Compos. Constr. 21 (5): 04017019. https://doi.org/10.1061/(ASCE)CC.1943-5614.0000794.
Becker, T. C., and S. A. Mahin. 2012. “Experimental and analytical study of the bi-directional behavior of the triple friction pendulum isolator.” Earthquake Eng. Struct. Dyn. 41 (3): 355–373. https://doi.org/10.1002/eqe.1133.
Bouc, R. 1967. “Forced vibrations of mechanical systems with hysteresis.” In Proc., 4th Conf. on Nonlinear Oscillations. Prague, Czech Republic: Academia Publishing House.
Calabrese, A., M. Spizzuoco, S. Strano, and M. Terzo. 2019. “Hysteresis models for response history analyses of recycled rubber–fiber reinforced bearings (RR-FRBs) base isolated buildings.” Eng. Struct. 178 (Jan): 635–644. https://doi.org/10.1016/j.engstruct.2018.10.057.
Chau, K. T., and X. X. Wei. 2001. “Pounding of structures modelled as non-linear impacts of two oscillators.” Earthquake Eng. Struct. Dyn. 30 (5): 633–651. https://doi.org/10.1002/eqe.27.
Chen, Y., and G. Ahmadi. 1992. “Wind effects on base-isolated structures.” J. Eng. Mech. 118 (8): 1708–1727. https://doi.org/10.1061/(ASCE)0733-9399(1992)118:8(1708).
Cilento, F., D. Losanno, and L. Piga. 2022. “An experimental study on a novel reclaimed rubber compound for fiber-reinforced seismic isolators.” In Vol. 45 of Structures, 9–22. Amsterdam, Netherlands: Elsevier.
Clemente, P. 2017. “Seismic isolation: Past, present and the importance of SHM for the future.” J. Civ. Struct. Health Monit. 7 (2): 217–231. https://doi.org/10.1007/s13349-017-0219-6.
Davis, R. O. 1992. “Pounding of buildings modelled by an impact oscillator.” Earthquake Eng. Struct. Dyn. 21 (3): 253–274. https://doi.org/10.1002/eqe.4290210305.
de Domenico, D., D. Losanno, and N. Vaiana. 2023. “Experimental tests and numerical modeling of full-scale unbonded fiber reinforced elastomeric isolators (UFREIs) under bidirectional excitation.” Eng. Struct. 274 (1): 115118. https://doi.org/10.1016/j.engstruct.2022.115118.
de Gregorio, D. 2022. “Reformulation of a phenomenological model for symmetric rate-independent hysteresis.” In Vol. 45 of Structures, 353–360. Amsterdam, Netherlands: Elsevier.
de Raaf, M. 2009. Experimental study of unbonded fiber reinforced elastomeric bearings. Hamilton, ON, Canada: McMaster Univ.
Foster, B. A. D. 2012. Base isolation using stable unbonded fibre reinforced elastomeric isolators (SU-FREI). Hamilton, ON, Canada: McMaster Univ.
Galano, S., A. Calabrese, D. Losanno, and G. Serino. 2022. “Tuning the lateral response of unbonded fiber reinforced elastomeric isolators (U-FREIs) through horizontal holes: Experimental and numerical findings.” Compos. Struct. 289 (Jun): 115454. https://doi.org/10.1016/j.compstruct.2022.115454.
Habieb, A. B., M. Valente, and G. Milani. 2019a. “Base seismic isolation of a historical masonry church using fiber reinforced elastomeric isolators.” Soil Dyn. Earthquake Eng. 120 (May): 127–145. https://doi.org/10.1016/j.soildyn.2019.01.022.
Habieb, A. B., M. Valente, and G. Milani. 2019b. “Implementation of a simple novel Abaqus user element to predict the behavior of unbonded fiber reinforced elastomeric isolators in macro-scale computations.” Bull. Earthquake Eng. 17 (5): 2741–2766. https://doi.org/10.1007/s10518-018-00544-6.
Hwang, J., J. Wu, T. Pan, and G. Yang. 2002. “A mathematical hysteretic model for elastomeric isolation bearings.” Earthquake Eng. Struct. Dyn. 31 (4): 771–789. https://doi.org/10.1002/eqe.120.
Ikhouane, F., and J. Rodellar. 2007. Systems with hysteresis: Analysis, identification and control using the Bouc-Wen model. New York: Wiley.
Kelly, J. 1999. “Analysis of fiber-reinforced elastomeric isolators.” J. Seismolog. Earthquake Eng. 2 (1): 19–34.
Kelly, J. 2002. “Seismic isolation systems for developing countries.” Earthquake Spectra 18 (3): 385–406. https://doi.org/10.1193/1.1503339.
Losanno, D., D. De Domenico, and I. E. Madera-Sierra. 2022. “Experimental testing of full-scale fiber reinforced elastomeric isolators (FREIs) in unbounded configuration.” Eng. Struct. 260 (Mar): 114234. https://doi.org/10.1016/j.engstruct.2022.114234.
Losanno, D., I. E. Madera Sierra, M. Spizzuoco, J. Marulanda, and P. Thomson. 2019. “Experimental assessment and analytical modeling of novel fiber-reinforced isolators in unbounded configuration.” Compos. Struct. 212 (Mar): 66–82. https://doi.org/10.1016/j.compstruct.2019.01.026.
Love, J., M. Tait, and H. Toopchi-Nezhad. 2011. “A hybrid structural control system using a tuned liquid damper to reduce the wind induced motion of a base isolated structure.” Eng. Struct. 33 (3): 738–746. https://doi.org/10.1016/j.engstruct.2010.11.027.
Manzoori, A., and H. Toopchi-Nezhad. 2017. “Application of an extended Bouc-Wen model in seismic response prediction of unbonded fiber-reinforced isolators.” J. Earthquake Eng. 21 (1): 87–104. https://doi.org/10.1080/13632469.2016.1138166.
Masroor, A., and G. Mosqueda. 2012. “Experimental simulation of base-isolated buildings pounding against moat wall and effects on superstructure response.” Earthquake Eng. Struct. Dyn. 41 (14): 2093–2109. https://doi.org/10.1002/eqe.2177.
Masroor, A., and G. Mosqueda. 2013. “Impact model for simulation of base isolated buildings impacting flexible moat walls.” Earthquake Eng. Struct. Dyn. 42 (3): 357–376. https://doi.org/10.1002/eqe.2210.
McKenna, F., M. H. Scott, and G. L. Fenves. 2010. “Nonlinear finite-element analysis software architecture using object composition.” J. Comput. Civ. Eng. 24 (1): 95–107. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000002.
Muthukumar, S., and R. DesRoches. 2006. “A Hertz contact model with non-linear damping for pounding simulation.” Earthquake Eng. Struct. Dyn. 35 (7): 811–828. https://doi.org/10.1002/eqe.557.
Nagarajaiah, S., A. M. Reinhorn, and M. C. Constantinou. 1991. “Nonlinear dynamic analysis of 3-D-base-isolated structures.” J. Struct. Eng. 117 (7): 2035–2054. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:7(2035).
Osgooei, P. M., M. J. Tait, and D. Konstantinidis. 2015a. “Seismic isolation of a shear wall structure using rectangular fiber-reinforced elastomeric isolators.” J. Struct. Eng. 142 (2): 04015116. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001376.
Osgooei, P. M., M. J. Tait, and D. Konstantinidis. 2017. “Non-iterative computational model for fiber-reinforced elastomeric isolators.” Eng. Struct. 137 (Apr): 245–255. https://doi.org/10.1016/j.engstruct.2017.01.056.
Osgooei, P. M., N. C. Van Engelen, D. Konstantinidis, and M. J. Tait. 2015b. “Experimental and finite element study on the lateral response of modified rectangular fiber-reinforced elastomeric isolators (MR-FREIs).” Eng. Struct. 85 (Feb): 293–303. https://doi.org/10.1016/j.engstruct.2014.11.037.
Pauletta, M., A. Cortesia, I. Pitacco, and G. Russo. 2017. “A new bi-linear constitutive shear relationship for unbonded fiber-reinforced elastomeric isolators (U-FREIs).” Compos. Struct. 168 (May): 725–738. https://doi.org/10.1016/j.compstruct.2017.02.065.
Sheikh, H., R. Ruparathna, and N. C. Van Engelen. 2022a. “Bi-directional loading of unbonded rectangular fiber-reinforced elastomeric isolators.” Eng. Struct. 251 (Jan): 113500. https://doi.org/10.1016/j.engstruct.2021.113500.
Sheikh, H., N. C. Van Engelen, and R. Ruparathna. 2022b. “A review of base isolation systems with adaptive characteristics.” In Vol. 38 of Structures, 1542–1555. Amsterdam, Netherlands: Elsevier.
Toopchi-Nezhad, H., M. J. Tait, and R. G. Drysdale. 2009a. “Shake table study on an ordinary low-rise building seismically isolated with SU-FREIs (stable unbonded-fiber reinforced elastomeric isolators).” Earthquake Eng. Struct. Dyn. 38 (11): 1335–1357. https://doi.org/10.1002/eqe.923.
Toopchi-Nezhad, H., M. J. Tait, and R. G. Drysdale. 2009b. “Simplified analysis of a low-rise building seismically isolated with stable unbonded fiber reinforced elastomeric isolators.” Can. J. Civ. Eng. 36 (7): 1182–1194. https://doi.org/10.1139/L09-056.
Vaiana, N., R. Capuano, S. Sessa, F. Marmo, and L. Rosati. 2021. “Nonlinear dynamic analysis of seismically base-isolated structures by a novel OpenSees hysteretic material model.” Appl. Sci. 11 (3): 900. https://doi.org/10.3390/APP11030900.
Vaiana, N., and L. Rosati. 2023. “Classification and unified phenomenological modeling of complex uniaxial rate-independent hysteretic responses.” Mech. Syst. Signal Process. 182 (Jan): 109539. https://doi.org/10.1016/j.ymssp.2022.109539.
Vaiana, N., S. Sessa, F. Marmo, and L. Rosati. 2019. “An accurate and computationally efficient uniaxial phenomenological model for steel and fiber reinforced elastomeric bearings.” Compos. Struct. 211 (1): 196–212. https://doi.org/10.1016/j.compstruct.2018.12.017.
Van Engelen, N. C. 2019. “Fiber-reinforced elastomeric isolators: A review.” Soil Dyn. Earthquake Eng. 125 (Oct): 105621. https://doi.org/10.1016/j.soildyn.2019.03.035.
Van Engelen, N. C., D. Konstantinidis, and M. J. Tait. 2016. “Structural and nonstructural performance of a seismically isolated building using stable unbonded fiber-reinforced elastomeric isolators.” Earthquake Eng. Struct. Dyn. 45 (3): 421–439. https://doi.org/10.1002/eqe.2665.
Van Engelen, N. C., M. J. Tait, and D. Konstantinidis. 2015. “Model of the Shear behavior of unbonded fiber-reinforced elastomeric isolators.” J. Struct. Eng. 141 (7): 04014169. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001120.
Wen, Y.-K. 1976. “Method for random vibration of hysteretic systems.” J. Eng. Mech. Div. 102 (2): 249–263. https://doi.org/10.1061/JMCEA3.0002106.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 149Issue 11November 2023

History

Received: Mar 2, 2023
Accepted: Jun 23, 2023
Published online: Sep 4, 2023
Published in print: Nov 1, 2023
Discussion open until: Feb 4, 2024

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Authors

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Ph.D. Candidate, Dept. of Civil and Environmental Engineering, Univ. of Windsor, 401 Sunset Ave., Windsor, ON, Canada N9B 3P4. ORCID: https://orcid.org/0000-0002-7460-1234
Rajeev Ruparathna
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Windsor, 401 Sunset Ave., Windsor, ON, Canada N9B 3P4.
Niel C. Van Engelen [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, Univ. of Windsor, 401 Sunset Ave., Windsor, ON, Canada N9B 3P4 (corresponding author). Email: [email protected]

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