Technical Papers
Jul 6, 2021

Evaluation of Design Equations for Critical Properties of Reinforced Elastomeric Bearings and Recommended Revisions

This article has been corrected.
VIEW CORRECTION
Publication: Journal of Structural Engineering
Volume 147, Issue 9

Abstract

Global interest in seismic isolation technology continues to increase due to the satisfactory performance of isolated structures in recent earthquake events. In addition to the overall response of the structure, the design of the isolation devices is an important consideration. Reinforced elastomeric bearings are commonly used in seismic isolation applications and as bridge bearings. Relevant standards have been developed to guide designers on several critical design properties, such as the compression and bending modulus and the maximum shear strain due to compression and rotation. These standards commonly assume that the elastomer is incompressible and that the reinforcement is rigid and inextensible. In this paper, inconsistencies in design equations within and between selected standards are identified and discussed. It is shown that the aforementioned assumptions can result in significant error depending on the design and geometry of the bearing. To address these inconsistencies and to minimize the error, new design equations are derived and proposed. The proposed design equations include the compressibility of the elastomer and the extensibility of the reinforcement. The derivation of the proposed design equations is presented and the equations are compared against the analytical solutions and current design standards. It is shown that the proposed design equations are accurate, simple to use, and can address current inconsistencies in critical design properties.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

The author acknowledges the support of the Natural Sciences and Engineering Research Council of Canada (NSERC), funding reference number RGPIN-2019-03924.

References

AASHTO. 2014. Guide specification for seismic isolation design. Washington, DC: AASHTO.
AASHTO. 2017. AASHTO LRFD bridge design specifications. Washington, DC: AASHTO.
Angeli, P., G. Russo, and A. Paschini. 2013. “Carbon fiber-reinforced rectangular isolators with compressible elastomer: Analytical solution for compression and bending.” Int. J. Solids Struct. 50 (22–23): 3519–3527. https://doi.org/10.1016/j.ijsolstr.2013.06.016.
BSI (British Standards Institution). 2005. Structural bearings—Part 3: Elastomeric bearings. BS EN 1337-3:2005. London: BSI.
BSI (British Standards Institution). 2018. Anti-seismic devices. BS EN 15129:2018. London: BSI.
Chalhoub, M. S., and J. M. Kelly. 1990. “Effect of bulk compressibility on the stiffness of cylindrical base isolation bearings.” Int. J. Solids Struct. 26 (7): 743–760. https://doi.org/10.1016/0020-7683(90)90004-F.
Chalhoub, M. S., and J. M. Kelly. 1991. “Analysis of infinite-strip-shaped base isolator with elastomer bulk compression.” J. Eng. Mech. 117 (8): 1791–1805. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:8(1791).
Clemente, P. 2017. “Seismic isolation: Past, present and the importance of SHM for the future.” J. Civ. Struct. Health Monit. 7: 217–231. https://doi.org/10.1007/s13349-017-0219-6.
Crozier, W., J. Stoker, V. Martin, and E. Nordlin. 1974. A laboratory evaluation of full size elastomeric bridge bearing pads. Sacramento, CA: California DOT.
CSA (Canadian Standards Association). 2014. Canadian highway bridge design code. CSA S6-14. Mississauga, ON, Canada: CSA.
CSA (Canadian Standards Association). 2019. Canadian highway bridge design code. CSA S6-19. Mississauga, ON, Canada: CSA.
Gent, A. N., and P. B. Lindley. 1959. “The compression of bonded rubber blocks.” Proc. Inst. Mech. Eng. 173 (1): 111–122. https://doi.org/10.1243/PIME_PROC_1959_173_022_02.
ISO. 2018a. Elastomeric seismic-protection isolators—Part 2: Applications for bridges—Specifications. ISO 22762-2:2018. Geneva: ISO.
ISO. 2018b. Elastomeric seismic-protection isolators—Part 3: Applications for buildings—Specifications. ISO 22762-3:2018. Geneva: ISO.
Kelly, J. M. 1999. “Analysis of fiber-reinforced elastomeric isolators.” J. Seismol. Earthquake Eng. 2 (1): 19–34.
Kelly, J. M., and A. Calabrese. 2013. “Analysis of fiber-reinforced elastomeric isolators including stretching of reinforcement and compressibility of elastomer.” Ingegneria Sismica 30 (3): 5–16.
Kelly, J. M., and D. Konstantinidis. 2011. Mechanics of rubber bearings for seismic and vibration isolation. Chichester, UK: Wiley.
Kelly, J. M., and S. M. Takhirov. 2002. Analytical and experimental study of fiber-reinforced strip isolators. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Kelly, J. M., and N. C. Van Engelen. 2015. Single series solution for the rectangular fiber-reinforced elastomeric isolator compression modulus. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Kelly, J. M., and N. C. Van Engelen. 2016. “Fiber-reinforced elastomeric bearings for vibration isolation.” J. Vib. Acoust. 138 (1): 011015.
National Research Council Canada. 2015. National building code of Canada 2015. Ottawa: National Research Council Canada.
Pinarbasi, S., and F. Okay. 2011. “Compression of hollow-circular fiber-reinforced rubber bearings.” Struct. Eng. Mech. 38 (3): 361–384. https://doi.org/10.12989/sem.2011.38.3.361.
Thuyet, V. N., S. K. Deb, and A. Dutta. 2018. “Mitigation of seismic vulnerability of prototype low-rise masonry building using U-FREIs.” J. Perform. Constr. Facil. 32 (2): 04017136. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001136.
Tsai, H.-C. 2007. “Tilting analysis of circular elastic layers interleaving with flexible reinforcements.” Int. J. Solids Struct. 44 (18–19): 6318–6329. https://doi.org/10.1016/j.ijsolstr.2007.02.028.
Tsai, H.-C., and J. M. Kelly. 2001. Stiffness analysis of fiber-reinforced elastomeric isolators. Berkeley, CA: Pacific Earthquake Engineering Research Center, Univ. of California.
Tsai, H.-C., and J. M. Kelly. 2002. “Bending stiffness of fiber-reinforced circular seismic isolators.” J. Eng. Mech. 128 (11): 1150–1157. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:11(1150).
Van Engelen, N. C. 2019a. “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. 2019b. “Rotation in rectangular and circular reinforced elastomeric bearings resulting in lift-off.” Int. J. Solids Struct. 168 (Aug): 172–182. https://doi.org/10.1016/j.ijsolstr.2019.03.021.
Van Engelen, N. C., and J. M. Kelly. 2015. “Correcting for the influence of bulk compressibility on the design properties of elastomeric bearings.” J. Eng. Mech. 141 (6): 04014170. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000891.
Van Engelen, N. C., D. Konstantinidis, and M. J. Tait. 2017a. “Shear strain demands in elastomeric bearings subjected to rotation.” J. Eng. Mech. 143 (4): 04017005. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001194.
Van Engelen, N. C., D. Konstantinidis, and M. J. Tait. 2017b. “Simplified approximations for critical design parameters of rectangular fiber-reinforced elastomeric isolators.” J. Eng. Mech. 143 (8): 06017009. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001251.
Van Engelen, N. C., M. J. Tait, and D. Konstantinidis. 2016. “Development of design code oriented formulas for elastomeric bearings including bulk compressibility and reinforcement extensibility.” J. Eng. Mech. 142 (6): 04016024. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001015.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 147Issue 9September 2021

History

Received: Jul 2, 2019
Accepted: Apr 1, 2021
Published online: Jul 6, 2021
Published in print: Sep 1, 2021
Discussion open until: Dec 6, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Niel C. Van Engelen [email protected]
Assistant Professor, Dept. of Civil and Environmental Engineering, Univ. of Windsor, 401 Sunset Ave., Windsor, ON, Canada N9B 3P4. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share