Skip to main content
Log in

Optimum Values of Mechanical Properties for Lead Core Rubber Bearing (LCRB) Under Variable Pulse-Like Ground Motions

  • Published:
International Journal of Steel Structures Aims and scope Submit manuscript

Abstract

In this study, mechanical properties of lead core rubber bearing (LCRB) under variable pulse-like ground motions have been optimized to minimize the response quantities of interest at the level of the base isolation system, e.g., bearing acceleration and bearing displacement. Since the isolator period, effective damping ratio, superstructure mass, design displacement, and yielding displacement are major parameters that characterize the general behavior of the base isolation system, they have been selected as random variables. A single degree of seismically-isolated building as a shear beam-stick model has been implemented. Then, the dynamic response of the seismic isolation system is investigated considering the variability of mechanical properties of LCRB and superstructure mass over the base isolation system. In this investigation, the isolation device is developed using the Bouc–Wen model of hysteresis. To this end, Monte Carlo simulation has been conducted to provide comprehensive insight into the variability of seismic responses. Thus, 37,800 time-history analyzes have been performed and the effect of levels of uncertainty of the input parameters on the seismically isolated building's dynamic response is studied for 126 natural pulse-like ground motions whose pulse periods are between 0.6 and 13 s. Moreover, to find the best compound properties of LCRB parameters, the “desirability function optimization” method has been employed. Finally, the behavior of the LCRB has been optimized and increased its effectiveness to reduce the response criteria considering uncertainties in natural excitation parameters.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Ahmadi, G. (1983). Stochastic earthquake response of structures on sliding foundation. International Journal of Engineering Science, 2(21), 93–102.

    Article  MATH  Google Scholar 

  • Alhan, C., & Gavin, H. (2005). Reliability of base-isolation for the protection of critical equipment from earthquake hazards. Engineering Structures, 9(27), 1435–1449.

    Article  Google Scholar 

  • Alhan, C., & Öncü-Davas, S. (2016). Performance limits of seismically isolated buildings under near-field earthquakes. Engineering Structures, 116, 83–94. https://doi.org/10.1016/j.engstruct.2016.02.043

    Article  Google Scholar 

  • Bagerzadeh Karimi, M. R. (2019). Seismic performance evaluation of the base isolation systems (Thesis). 1–200. Eastern Mediterranean University.

  • Cheng, F., Jiang, H., & Lou, K. (2008). Smart structures innovative systems for seismic response control. CRC Press Taylor & Francis Group. https://doi.org/10.1201/9781420008173

  • Chimamphant, S., & Kasai, K. (2016). Comparative response and performance of base-isolated and fixed-base structures. Earthquake Engineering & Structural Dynamics, 45(1), 5–27.

    Article  Google Scholar 

  • Dodson, B., Hammett, P., & Klerx, R. (2014). Probabilistic design for optimization and robustness for engineers. Wiley.

  • Elnashai, A., & Sarno, L. (2008). Fundamentals of earthquake engineering. Wiley.

  • Er, G. K., & Iu, V. P. (2000). Stochastic response of base-excited Coulomb oscillator. Journal of Sound and Vibration, 233, 81–92.

    Article  Google Scholar 

  • Eurocode8. (1998-1.). Eurocode 8, design of structures for earthquake resistance—Part 1: General rules, seismic actions and rules for buildings, EN.

  • Greco, R., & Marano, G. (2016). Robust optimization of base isolation devices under uncertain parameters. Journal of Vibration and Control, 22(3), 853–868.

    Article  MathSciNet  Google Scholar 

  • Jacob, C., Sepahvand, K., Matsagar, V., & Marburg, S. (2013). Stochastic seismic response of base-isolated buildings. International Journal of Applied Mechanics, 1(5), 1–21.

    Google Scholar 

  • Jangid, R. (2000). Stochastic seismic response of structures isolated by rolling rods. Engineering Structure, 8(22), 937–946.

    Article  Google Scholar 

  • Jangid, R., & Datta, T. (1995). Performance of base-isolation systems for asymmetric building subject to random excitation. Engineering Structure, 6(17), 443–454.

    Article  Google Scholar 

  • Kodakkal, A., Saha, S. K., Sepahvand, K., Matsagar, V. A., Duddeck, F., & Marburg, S. (2019). Uncertainties in dynamic response of buildings with non-linear baseisolators. Engineering Structures, 197, 109423.

    Article  Google Scholar 

  • Kohrangi, M., Vamvatsikos, D., & Bazzurro, P. (2018). Pulse-like versus non-pulse-like ground motion records: Spectral shape comparisons and record selection strategies. Earthquake Engineering & Structural Dynamics, 48(1), 46–64.

    Article  Google Scholar 

  • Kulkarni, J. A., & Jangid, R. S. (2002). Rigid body response of base-isolated structures. Journal of Structural Control, 9(3), 171–188. https://doi.org/10.1002/stc.11

    Article  Google Scholar 

  • Kulkarni, J., & Jangid, R. (2003). Effects of superstructure flexibility on the response of base isolated structures. Shock and Vibration, 10, 1–13.

    Article  Google Scholar 

  • Li, J., & Chen, J. (2004). Probability density evolution method for dynamic response analysis of structures with uncertain parameters. Computational Mechanics, 5(34), 400–409.

    Article  MATH  Google Scholar 

  • Masaeli, H., Khoshnoudian, F., & Tehrani, M. (2014). Rocking isolation of nonductile moderately tall buildings subjected to bidirectional near-fault ground motions. Engineering Structures. https://doi.org/10.1016/j.engstruct.2014.08.053

    Article  Google Scholar 

  • Minimum Design Loads for Buildings and Other Structures. (ASCE/SEI 7-10). American Society of Civil Engineers.

  • Montgomery, D. (2013). Design and analysis of experiments (8th ed.). Wiley.

  • Naeim, F., & Kelly, M. J. (1999). Design of seismic isolated structures: From theory to practice. Wiley.

  • Pan, P., Zamfirescu, D., Nakashima, M., Nakayasu, N., & Kashiwa, H. (2005). Base-isolation design practice in Japan: Introduction to the post-Kobe approach. Journal of Earthquake Engineering, 09(01), 147–171. https://doi.org/10.1142/S1363246905001943

    Article  Google Scholar 

  • PEER Ground Motion Database. (n.d.). Retrieved from Pacific Earthquake Engineering Research Center: https://ngawest2.berkeley.edu/

  • Technologies, W. (2010). Worksafe Technologies Corporation. Effects of seismic vibrations on disk drives. Retrieved September 03, 2010, from http://www.worksafetech.com/pages/isotest.html

  • Tyler, R., & Robinson, W. (1984). High-strain tests on lead–rubber bearings for earthquake loadings. Bulletin of New Zealand National Society Earthquake Engineering, 17(2), 90–105.

    Article  Google Scholar 

  • Xu, C., Chase, J. G., & Rodgers, G. W. (2014). Physical parameter identification of nonlinear base-isolated buildings using seismic response data. Computers & Structures, 145, 47–57. https://doi.org/10.1016/j.compstruc.2014.08.006

    Article  Google Scholar 

  • Yeh, C. H., & Wen, Y. K. (1990). Modeling of non-stationary ground motion and analysis of inelastic structural response. Structural Safety, 8(1), 281–298.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammad Reza Bagerzadeh Karimi.

Ethics declarations

Conflict of interest

The authors declare that there is no conflict of interests in this article.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 58 kb)

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bagerzadeh Karimi, M.R. Optimum Values of Mechanical Properties for Lead Core Rubber Bearing (LCRB) Under Variable Pulse-Like Ground Motions. Int J Steel Struct 23, 780–794 (2023). https://doi.org/10.1007/s13296-023-00728-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13296-023-00728-0

Keywords

Navigation