Skip to main content

Abstract

High damping rubber bearings have been used in the seismic isolation of buildings worldwide for almost 30 years now. After a brief introduction to the process leading to their manufacturing, a description is given of the main tests required by current seismic codes for the design of such devices. An extensive review is then presented of the models available in the literature for the simulation of the dynamic response of high damping rubber bearings under simultaneous shear and compression. Given the extremely complex and highly nonlinear behavior of these devices, no model is capable of capturing every single aspect of the dynamic response. Issues and uncertainties involved in the characterization of this complex behavior are pointed out. These include, among others, coupled bidirectional horizontal motion, coupling of vertical and horizontal motion, strength and stiffness degradation in cyclic loading, and variation in critical buckling load capacity due to lateral displacement. Finally, a novel 1D mechanical model for high damping rubber bearings is proposed, based on the combination of simple and well-known rheological models. The model is calibrated against a set of harmonic tests at strain amplitudes up to \(200\%\). Extension to bidirectional horizontal motion and to varying vertical load is subject of ongoing work.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • AASHTO (1991) Guide specifications for seismic isolation design. American Association of State Highway and Transportation Officials (AASHTO), Washington, DC

    Google Scholar 

  • Abe M, Yoshida J, Fujino Y (2004) Multiaxial behaviors of laminated rubber bearings and their modeling. II: Modeling. J Struct Eng ASCE 130:1133–1144

    Article  Google Scholar 

  • Ahmadi HR, Fuller KNG, Muhr AH (1996) Predicting response of non-linear high damping rubber isolation systems. In: Proceedings of 11th world conference on earthquake engineering, Acapulco, Mexico, Paper no 1836

    Google Scholar 

  • ASCE/SEI 7 (2016) Minimum design loads for buildings and other structures, Chapter 17. American Society of Civil Engineers (ASCE), New York

    Google Scholar 

  • ASME V&V 10-2006 (2006) Guide for verification and validation in computational solid mechanics. American Society of Mechanical Engineers (ASME), New York

    Google Scholar 

  • Bhuiyan AR, Okui Y, Mitamura H, Imai T (2009) A rheology model of high damping rubber bearings for seismic analysis: identification of nonlinear viscosity. Int J Solids Struct 46:1778–1792

    Article  MATH  Google Scholar 

  • Bouc R (1967) Forced vibration of mechanical systems with hysteresis. In: Proceedings of 4th conference on nonlinear oscillation, Prague, Czechoslovakia

    Google Scholar 

  • Bozorgnia Y, Bertero VV (2004) Earthquake engineering, from engineering seismology to performance-based design. CRC Press, London

    Book  Google Scholar 

  • Bridgestone Catalog (2013) Seismic isolation product line-up, Tokyo

    Google Scholar 

  • CEN (Comitè Europèen de Normalisation) (2005) EN 1337–3: Structural bearings—Part 3: Elastomeric bearings. European Committee for Standardization, Brussels, Belgium

    Google Scholar 

  • CEN (Comitè Europèen de Normalisation) (2009) EN 15129: Anti-seismic devices. European Committee for Standardization, Brussels, Belgium

    Google Scholar 

  • Ciesielski A (1999) An introduction to rubber technology. Rapra Technology Limited, Southampton

    Google Scholar 

  • Clark PW, Aiken ID, Kelly JM (1997) Experimental studies of the ultimate behavior of seismically isolated structures. Report no. UCB/EERC-97/18, Earthquake Engineering Research Center, University of California, Berkeley, California

    Google Scholar 

  • Consiglio Superiore dei Lavori Pubblici (2008) D.M. 14 gennaio 2008, Norme tecniche per le costruzioni, Italy

    Google Scholar 

  • Constantinou MC, Whittaker AS, Kalpakidis Y, Fenz DM, Warn GP (2007) Performance of seismic isolation hardware under service and seismic loading. In: Technical report MCEER-07-0012, State University of New York at Buffalo

    Google Scholar 

  • Dall’ Asta A, Ragni L (2006) Experimental tests and analytical model of high damping rubber dissipating devices. Eng Struct 28:1874–1884

    Article  Google Scholar 

  • FEMA P-751 (2009) NEHRP recommended seismic provisions: design examples, Chapter 12. Kircher, CA

    Google Scholar 

  • Fujita T, Suzuki S, Fujita S (1990) High damping rubber bearings for seismic isolation of buildings (1st report, hysteretic restoring force characteristics and analytical models). Trans Jpn Soc Mech Eng C56:658–666 (in Japanese)

    Article  Google Scholar 

  • Gent A (2012) Engineering with rubber. Hanser Publications, Munich

    Book  Google Scholar 

  • Gjorgjiev I, Garevski M (2013) A polynomial analytical model of rubber bearings based on series of tests. Eng Struct 56:600–609

    Article  Google Scholar 

  • Graesser EJ, Cozzarelli FA (1989) Multidimensional models of hysteretic material behavior for vibration analysis of shape memory energy absorbing devices. Technical report NCEER-89-0018, State University of New York at Buffalo

    Google Scholar 

  • Grant DN, Fenves GL, Whittacker AS (2004) Bidirectional modeling of high damping rubber bearing. J Earthq Eng 8(1):161–185

    Google Scholar 

  • Hansen N (2011) The CMA evolution strategy: a tutorial. https://www.lri.fr/~hansen/cmatutorial.pdf

  • Hwang JS, Wu JD, Pan TC, Yang G (2002) A mathematical hysteretic model for elastomeric isolation bearings. Earthq Eng Struct Dyn 31:771–789

    Article  Google Scholar 

  • Hwang JS, Hsu TY (2001) A fractional derivative model to include effect of ambient temperature on HDR bearings. Eng Struct 23:484–490

    Article  Google Scholar 

  • Hwang JS, Ku SW (1997) Analytical modeling of high damping rubber bearings. J Struct Eng ASCE 123(8):1029–1036

    Article  Google Scholar 

  • Hwang JS, Wang JC (1998) Seismic response prediction of HDR bearings using fractional derivative Maxwell model. Eng Struct 30(9):849–856

    Article  Google Scholar 

  • Jankowski R (2003) Nonlinear rate dependent model of high damping rubber bearing. Bull Earthq Eng 1:397–403

    Article  Google Scholar 

  • Japanese Public Works Research Institute (JPWRI) (1992) Manual for Menshin design of highway bridges. Ministry of Construction, Tsukuba Science City, Japan (in Japanese)

    Google Scholar 

  • Kato H, Mori T, Murota N, Kikuchi M (2014) Analytical model for elastoplastic and creep-like behavior of high-damping rubber bearings. J Struct Eng ASCE. doi:10.1061/(ASCE)ST.1943-541X.0001181

  • Kelly JM, Konstantinidis DA (2011) Mechanics of rubber bearings for seismic and vibration isolation. Wiley, New York

    Book  Google Scholar 

  • Kikuchi M, Nakamura T, Aiken ID (2010) Three-dimensional analysis for square seismic isolation bearings under large shear deformations and high axial loads. Earthq Eng Struct Dyn 39:1513–1531

    Article  Google Scholar 

  • Kikuchi T, Takcuchi T, Fujimori S, Wada A (2014) Design of seismic isolated tall building with high aspect-ratio. Int J High-Rise Build 3(1):1–8

    Google Scholar 

  • Kikuchi M, Aiken ID (1997) An analytical hysteresis model for the elastomeric seismic isolation bearings. Earthq Eng Struct Dyn 26:215–231

    Article  Google Scholar 

  • Koo GH, Lee JH, Kim JB, Lee HY, Yoo B (1996) Reduction of seismic responses by using the modified hysteretic bi-linear model of the seismic isolator. Trans Korea Soc Mech Eng 20(1):127–134

    Google Scholar 

  • Koo GH, Lee JH, Yoo B (1998) Seismic response analyses of seismically isolated structures using laminated rubber bearings. J Korean Nucl Soc 30(5):387–395

    Google Scholar 

  • Kumar M, Whittaker AS, Constantinou MC (2014) An advanced numerical model of elastomeric seismic isolation bearings. Earthq Eng Struct Dyn 43:1955–1974

    Article  Google Scholar 

  • Markou AA, Oliveto G, Athanasiou A (2016) Response simulation of hybrid base isolation systems under earthquake excitation. Soil Dyn Earthq Eng. doi:10.1016/j.soildyn.2016.02.003

  • Markou AA, Oliveto G, Mossucca A, Ponzo FC (2014) Laboratory experimental tests on elastomeric bearing from the Solarino project, Progetto di Ricerca DPC - RELUIS, Linea di Ricerca 6: Isolamento e Dissipazione. Ponzo FC and Serino G, Coordinatori

    Google Scholar 

  • Markou AA, Manolis GD (2016) A fractional derivative Zener model for the numerical simulation of base isolated structures. Bull Earthq Eng 14(1):283–295

    Article  Google Scholar 

  • Martin PP, Bolton Seed H (1978) MASH, A computer program for the non-linear analysis of vertically propagating shear waves in horizontally layered deposits. Report UCB/EERC 78/23. University of California, Berkeley, CA

    Google Scholar 

  • McKenna F, Fenves GL, Scott MH, Jeremic B (2000) Open system for earthquake engineering simulation (OpenSees). Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA

    Google Scholar 

  • McVitty WJ, Constantinou MC (2015) Property modification factors for seismic isolators: design guideline for buildings. Technical report MCEER-15-0005, State University of New York at Buffalo

    Google Scholar 

  • Michalovic M, Brust GJ (2000) The story of rubber, a self-guided polymer expedition. http://pslc.ws/macrog/exp/rubber/menu.htm

  • Mori T, Kato H, Murota N (2010) FEM analysis of high damping laminated rubber bearings using anelastic-plastic constitutive law of the deformation history integral type. J Struct Constr Eng 75(658):2171–2178 (in Japanese)

    Article  Google Scholar 

  • Mori T, Kato H, Kikuchi T, Murota N (2011) Elastic-plastic constitutive law of rubber for laminated rubber bearings. In: Proceedings of 12th world conference on seismic isolation, energy dissipation and active vibration control of structure, ASSIS, Sochi, Russia

    Google Scholar 

  • Mullins L (1969) Softening of rubber by deformation. Rubber Chem Technol 42(1):339–362

    Article  Google Scholar 

  • Naeim F, Kelly JM (1999) Design of seismic isolated structures: from theory to practice. Wiley, New York

    Book  Google Scholar 

  • Nagarajaiah S, Reinhorn AM, Constantinou MC (1989) Nonlinear dynamic analysis of three-dimensional base isolated structures (3D-Basis). Technical report NCEER-89-0009, State University of New York at Buffalo

    Google Scholar 

  • Nguyen DA, Dang J, Okui Y, Amin AFMS, Okada S, Imai T (2015) An improved rheology model for the description of the rate-dependent cyclic behavior of high damping rubber bearings. Soil Dyn Earthq Eng 77:416–431

    Article  Google Scholar 

  • Ogden RW (1998) Nonlinear elastic deformations. Elasticity. Dover Publications, Mineola, NY

    Google Scholar 

  • Oliveto G, Oliveto ND, Athanasiou A (2014) Constrained optimization for 1-D dynamic and earthquake response analysis of hybrid base-isolation systems. Soil Dyn Earthq Eng 67:44–53

    Article  Google Scholar 

  • Oliveto G, Athanasiou A, Granata M (2013) Blind simulation of full scale free vibration tests on a three story base isolated building. In: Proceedings of 10th international conference on urban earthquake engineering, Tokyo

    Google Scholar 

  • Oliveto G, Granata M, Buda G, Sciacca P (2004) Preliminary results from full-scale free vibration test on a four story reinforced concrete building after seismic rehabilitation by base isolation. In: Proceedings of JSSI 10th anniversary symposium on performance of response controlled buildings, Yokohama

    Google Scholar 

  • Ozdemir H (1976) Nonlinear transient dynamic analysis of yielding structures. PhD dissertation, University of California, Berkeley, California

    Google Scholar 

  • Pan TC, Yang G (1996) Nonlinear analysis of base isolated MDOF structures. In: Proceedings of 11th world conference on earthquake engineering, Acapulco, Mexico, Paper No. 1534

    Google Scholar 

  • Park YJ, Wen YK, Ang AH-S (1986) Random vibration of hysteretic systems under bi-directional ground motions. Earthq Eng Struct Dynmics 14:543–557

    Article  Google Scholar 

  • Sanò T, Di Pasquale G (1995) A constitutive model for high damping rubber bearings. J Press Vessel Technol ASCE 107:53–58

    Article  Google Scholar 

  • Shenton HW (1996) NISTIR 5800, guidelines for pre-qualification, prototype and quality control testing of seismic isolation systems. National Institute of Science and Technology (NIST), Gaithersburg, Maryland

    Google Scholar 

  • Sivaselvan MV, Reinhorn AM (2006) Lagrangian approach to structural collapse simulation. J Eng Mech ASCE 132(8):795–805

    Article  Google Scholar 

  • Skinner RI, Robinson WH, McVerry GH (1993) An introduction to seismic isolation. Wiley, Chistester

    Google Scholar 

  • Treolar LRG (1975) The physics of rubber elasticity. Clarendon Press, Oxford

    Google Scholar 

  • Tsai CS, Chiang TC, Chen BJ, Lin SB (2003) An advanced analytical model for high damping rubber bearings. Earthq Eng Struct Dyn 32:1373–1387

    Article  Google Scholar 

  • Tsopelas PC, Constantinou MC, Reinhorn AM (1994) 3D-BASIS-ME: computer program for nonlinear dynamic analysis of seismically isolated single and multiple structures and liquid storage tanks. Technical report NCEER-94-0010, State University of New York at Buffalo

    Google Scholar 

  • Wen YK (1976) Method for random vibration of hysteretic systems. J Eng Mech ASCE 102:249–263

    Google Scholar 

  • Yamamoto S, Kikuchi M, Ueda M, Aiken ID (2009) A mechanical model for elastomeric seismic isolation bearings including the influence of axial force. Earthq Eng Struct Dyn 38:157–180

    Article  Google Scholar 

  • Yamamoto M, Minewaki S, Yoneda H, Higashino M (2012) Nonlinear behavior of high-damping rubber bearings under horizontal bidirectional loading: full-scale tests and analytical modeling. Earthq Eng Struct Dyn 41:1845–1860

    Article  Google Scholar 

  • Yeoh OH (1993) Some forms of the strain energy function for rubber. Rubber Chem Technol 66(5):754–771

    Article  Google Scholar 

Download references

Acknowledgements

This work was carried out with the financial support from ReLUIS (Italian National Network of University Earthquake Engineering Laboratories), Project D.P.C.-ReLUIS 2014–2016, WP1.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Athanasios A. Markou .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Markou, A.A., Oliveto, N.D., Athanasiou, A. (2017). Modeling of High Damping Rubber Bearings. In: Sextos, A., Manolis, G. (eds) Dynamic Response of Infrastructure to Environmentally Induced Loads. Lecture Notes in Civil Engineering , vol 2. Springer, Cham. https://doi.org/10.1007/978-3-319-56136-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-56136-3_7

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56134-9

  • Online ISBN: 978-3-319-56136-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics