Technical Papers
Jun 15, 2012

P-Δ and End Rotation Effects on the Influence of Mechanical Properties of Elastomeric Isolation Bearings

Publication: Journal of Structural Engineering
Volume 138, Issue 6

Abstract

Seismic isolation systems constitute an accepted and simple technique for earthquake protection of structural systems and sensitive components. This approach has considerable potential in preventing the structures and their equipment from earthquake destruction. For predicting the behavior of an isolation bearing, Haringx’s theory is usually employed. According to this theory, the mechanical properties of an elastomeric isolation bearing can be predicted and described. Many investigators have proposed a nonlinear, mechanical model for multilayer elastomeric bearings. However, in previous theoretical and experimental studies, the effects of initial rotation at the ends of the bearings have been neglected. In this study, Haringx’s theory is extended and an analytical method is presented by considering the initial rotations of the upper and lower ends of multilayer rubber bearings as new boundary conditions. Three boundary conditions have been considered for modeling the elastomeric isolation bearing: (1) equal rotation at the bottom and top end of a bearing, (2) rotation only at the bottom end, and (3) rotation only at the top end of a bearing. According to these boundary conditions, variations of the lateral displacement and interior rotation of the laminated rubber bearings are obtained. The variations of horizontal stiffness, internal bending moment, and interior shear force of the bearing have also been presented. Examples are presented to demonstrate the validity of the development method in predicting the mechanical properties of elastomeric bearings with specified geometric parameters. The results of this study have shown that initial rotation as a boundary condition will change the mechanical properties of the laminated rubber bearings.

Get full access to this article

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

References

Abe, M., Yoshida, J., and Fujino, Y. (2004). “Multiaxial behaviors of laminated rubber bearings and their modeling.” J. Struct. Eng.JSENDH, 130(8), 1119–1132.
Buckle, I. G., Nagarajaiah, S., and Ferrell, K. (2002). “Stability of elastomeric seismic isolation bearings: Experimental study.” J. Struct. Eng.JSENDH, 128(1), 3–11.
Chang, C.-H. (2002). “Modeling of laminated rubber bearings using an analytical stiffness matrix.” Int. J. Solids Struct., 39(24), 6055–6078.IJSOAD
Gent, A. N. (2001). Structural engineering with rubber: How to design rubber components, Hanser, Munich, Germany.
Haringx, J. A. (1949). “On highly compressible helical springs and rubber rods, and their application for vibration-free mountings. III.” Philips Res. Rep., 4, 206–220.PRREA9
Huang, M. C., Wang, Y. P., Chang, J. R., and Chen, Y. H. (2009). “Physical-parameter identification of base-isolated buildings using backbone curves.” J. Struct. Eng.JSENDH, 135(9), 1107–1114.
Iizuka, M. (2000). “A macroscopic model for predicting large-deformation behavior of laminated rubber bearing.” Eng. Struct., 22(4), 323–334.ENSTDF
Imbimbo, M., and De Luca, A. (1998). “F.E. stress analysis of rubber bearings under axial loads.” Comput. Struct., 68(1–3), 31–39.CMSTCJ
Kelly, J. M. (1997). Earthquake-resistant design with rubber, Springer, London.
Kelly, J. M., and Marsico, M. R. (2010). “Stability and post-buckling behavior in nonbolted elastomeric isolators.” Seism. Isolation Protect. Syst., 1(1), 41–54.
Kelly, J. M., and Takhirov, S. M. (2007). “Tension buckling in multilayer elastomeric isolation bearings.” J. Mech. Mater. Struct., 2(8), 1591–1605.
Koh, C. G., and Kelly, J. M. (1988). “A simple mechanical model for elastomeric bearings used in base isolation.” Int. J. Mech. Sci., 30(12), 933–943.IMSCAW
Naeim, F., and Kelly, J. M. (1999). Design of seismic isolated structures from theory to practice, Wiley, New York.
Nagarajaiah, S., and Ferrell, K. (1999). “Stability of elastomeric seismic isolation bearings.” J. Struct. Eng.JSENDH, 125(9), 946–954.
Simo, J. C., and Kelly, J. M. (1984). “Finite element analysis of the stability of multilayer elastomeric bearings.” Eng. Struct., 6(3), 162–174.ENSTDF
Stanton, J. F., Scroggins, G., Taylor, A. W., and Roeder, C. W. (1990). “Stability of laminated elastomeric bearings.” J. Eng. Mech.JENMDT, 116(6), 1351–1371.
Tsai, H.-C., and Hsueh, S.-J. (2001). “Mechanical properties of isolation bearings identified by a viscoelastic model.” Int. J. Solids Struct., 38(1), 53–74.IJSOAD
Tsai, H.-C., and Kelly, J. M. (2005). “Buckling load of seismic isolators affected by flexibility of reinforcement.” Int. J. Solids Struct., 42(1), 255–269.IJSOAD
Warn, G. P., and Whittaker, A. S. (2008). “Vertical earthquake loads on seismic isolation systems in bridges.” J. Struct. Eng.JSENDH, 134(11), 1696–1704.
Warn, G. P., Whittaker, A. S., and Constantinou, M. C. (2007). “Vertical stiffness of elastomeric and lead-rubber seismic isolation bearings.” J. Struct. Eng.JSENDH, 133(9), 1227–1236.
Zhou, X. Y., Han, M., and Yang, I. (2003). “Study on protection measures for seismic isolation rubber bearings.” ISET J. Earthquake Tech., 40(2–4), 137–160.
Zou, X. K., Wang, Q. A., Li, G., and Chan, C. M. (2010). “Integrated reliability-based seismic drift design optimization of base-isolated concrete buildings.” J. Struct. Eng.JSENDH, 136(10), 1282–1295.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 138Issue 6June 2012
Pages: 669 - 675

History

Received: Jul 23, 2010
Accepted: Sep 22, 2011
Published online: Sep 26, 2011
Published in print: Jun 1, 2012
Published ahead of production: Jun 15, 2012

Permissions

Request permissions for this article.

Authors

Affiliations

Ali Karbakhsh Ravari [email protected]
Graduate Research Assistant, Dept. of Civil Engineering, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia (corresponding author). E-mail: [email protected]
Ismail Bin Othman
Associate Professor, Dept. of Civil Engineering, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia.
Zainah Binti Ibrahim, Ph.D.
Senior Lecturer, Dept. of Civil Engineering, Univ. of Malaya, 50603 Kuala Lumpur, Malaysia.
Kamarudin Ab-Malek, Ph.D.
Chief Executive Officer, Tun Abdul Razak Research Centre, Brickendonbury, Hertford, UK; formerly, Rubber Research Institute of Malaysia, Malaysian Rubber Board, 47000 Selangor, Malaysia.

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