Skip to main content
SpringerLink
Log in

Modeling and analysis of laminated rubber bearings under axial tensile loading

  • Original Article
  • Published:
Materials and Structures Aims and scope Submit manuscript

Abstract

To analyze the tension performance of laminated rubber bearings under tensile loading, a tension model for analyzing the rubber layers is proposed based on the theory of elasticity. Applying the boundary restraint condition and the assumption of incompressibility of the rubber layers, stress and deformation expressions for the tensile rubber layers are derived. Based on the derived expressions, the stress distribution and deformed pattern specifically for deformed shape of the free edges of rubber layers are analyzed, and the theory of cracking energy is applied to analyze the distributions of predicted cracking energy density and gradient direction. Prediction of crack initiation and crack propagation direction of the rubber layers is investigated. The analytical results show that the stress and deformation expressions can be used to simulate the stress distribution and deformed pattern of the rubber layer for laminated rubber bearings in the elastic range, and the crack energy method for predicting the failure mechanism is feasible according to the experimental phenomenon.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20

Similar content being viewed by others

References

  1. Matsuda A (2004) Evaluation for mechanical properties of laminated rubber bearings using finite element analysis. J Press Vessel Technol 126:134–140

    Article  Google Scholar 

  2. Benthem JP, Minderhoud P (1972) The problem of solid cylinder compressed between rough rigid stamps. Int J Solids Struct 8:1027–1042

    Article  MATH  Google Scholar 

  3. Takaoka E, Takenaka Y, Nimura A (2011) Shaking table test and analysis method on ultimate behavior of slender base-isolated structure supported by laminated rubber bearings. Earthq Eng Struct Dyn 40:551–570

    Article  Google Scholar 

  4. Hino J, Yoshitomi S, Tsuji M (2008) Bound of aspect ratio of base-isolated buildings considering nonlinear tensile behavior of rubber bearing. Struct Eng Mech 30(3):351–368

    Article  Google Scholar 

  5. Imbimbo M, Luca AD (1998) FE stress analysis of rubber bearings under axial loads. Comput Struct 68:31–39

    Article  MATH  Google Scholar 

  6. Yoshida J, Abe M, Fujino Y (2004) Three-dimensional finite-element analysis of high damping rubber bearings. J Eng Mech 130(5):607–620

    Article  Google Scholar 

  7. Jain SK, Thakkar SK (2005) Experimental investigations on laminated rubber bearings. Bull Earthq Eng 3(1):129–136

    Article  Google Scholar 

  8. Kilar V, Koren D (2009) Seismic behavior of asymmetric base isolated structures with various distributions of isolators. Eng Struct 31(4):910–921

    Article  Google Scholar 

  9. Ling Y, Engel PA, Brodsky WL (1995) Compression of bonded annular rubber blocks. J Eng Mech 121(6):661–666

    Article  Google Scholar 

  10. Liu WG, Yang QR, Zhou FL (2004) Nonlinear elastic rotation and shear property theoretical and experimental research of rubber isolators. Earthq Eng Eng Vib 24(2):158–167

    Google Scholar 

  11. Mars WV (2002) Cracking energy density as a predictor of fatigue life under multiaxial conditions. Rubber Chem Technol 75:1–17

    Article  Google Scholar 

  12. Mosqueda G, Masroor A, Sanchez J, Ryan K (2010) Performance limit states of seismically Isolated buildings with elastomeric bearings. In: Proceedings from the 9th US National and 10th Canadian Conference on Earthquake Engineering. Toronto, Canada

  13. Park SK, Han KB (2004) Effects of seismic isolation bearing with sliding mechanism on the response of bridge. Mater Struct 37:412–421

    Google Scholar 

  14. Sarno LD, Chioccarelli E, Cosenza E (2011) Seismic response analysis of an irregular base isolated building. Bull Earthq Eng 9:1673–1702

    Article  Google Scholar 

  15. Warn GP, Whittaker AS (2008) Vertical stiffness of elastomeric and lead-rubber seismic isolation bearings. J Struct Eng 133(9):1227–1236

    Article  Google Scholar 

  16. Xu L, Wu GZ (1999) Some forms of strain energy function for rubber with finite element analysis. Rubber Ind 46(12):707–711

    Google Scholar 

  17. Xu ZL (2009) A concise course in elasticity. Higher Education Press, Beijing

    Google Scholar 

  18. Yang QR, Liu WG (2010) Tensile stiffness and deformation model of rubber isolators in tension and tension-shear states. J Eng Mech 136(4):429–437

    Article  Google Scholar 

  19. Yoshitake M, Ichiro N, Ichizou K (2001) Tensile property of large-sized natural rubber bearing. AIJ J Technol 12:53–56

    Google Scholar 

  20. Zhang ZQ (2012) Tension property of laminated rubber bearings under tensile loading. Ph.D. Thesis, Beijing University of Technology, Beijing, China

Download references

Acknowledgments

The authors would like to thank Dr. Zhang Zhiqian and Fan Chunyu for their support. This work was financially supported by the Natural Science Foundation (50978009) and Beijing Science and Technology Foundation (KM201210005025).

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Beijing University of Technology, Beijing, China

    S. C. Chen, X. K. Tian & W. M. Yan

  2. Department of Civil Engineering, Tsinghua University, Beijing, China

    Kang-Suk Kim

Authors
  1. S. C. Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. K. Tian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. W. M. Yan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Kang-Suk Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. C. Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, S.C., Tian, X.K., Yan, W.M. et al. Modeling and analysis of laminated rubber bearings under axial tensile loading. Mater Struct 47, 987–997 (2014). https://doi.org/10.1617/s11527-013-0108-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1617/s11527-013-0108-3

Keywords

Search

Navigation