Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-19T04:08:02.240Z Has data issue: false hasContentIssue false
  • English
  • Français

Compression Behavior of Annular Elastic Layers Bonded Between Rigid Plates

Published online by Cambridge University Press:  16 October 2012

H.-C. Tsai
H.-C. Tsai*
Affiliation:
Department of Construction Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan 10607, R.O.C.
*
* Corresponding author ([email protected])
Get access

Abstract

An annular elastic layer bonded between rigid plates and subjected to a compressive force normal to the layer is analyzed through a theoretical approach. On the basis of two kinematic assumptions, the governing equation for the mean pressure is established from the equilibrium equation, which is then solved by satisfying the stress boundary conditions. Through the obtained pressure expression, the compression stiffness of the bonded annular layer is derived in closed form and is very close to the finite element solution. The derived formula has no limitation on the Poisson's ratio and is more concise than the previous research. Through the asymptotic approach, the compression stiffness for the incompressible elastic layers is derived and is more accurate than the previous research obtained by directly neglecting the bulk compressibility. The stiffness reduction caused by the central hole is more prominent when the Poisson's ratio is close to 0.5.

Keywords

Bonded elastic layerElastomeric bearingSeismic isolation
Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 4 , December 2012 , pp. 657 - 663
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Gent, A. N. and Lindley, P. B., “The Compression of Bonded Rubber Blocks,” Proceeding of the Institution of Mechanical Engineers, 173, pp. 111–117 (1959).Google Scholar
2.Kelly, J. M., Earthquake-Resistant Design with Rubber, 2nd Ed., Springer-Verlag, London (1997).Google Scholar
3.Tsai, H.-C. and Lee, C.-C., “Compressive Stiffness of Elastic Layers Bonded between Rigid Plates,” International Journal of Solids and Structures, 35, pp. 3053–3069 (1998).Google Scholar
4.Pinarbasi, S., Mengi, Y. and Akyuz, U., “Compression of Solid and Annular Circular Discs Bonded to Rigid Surfaces,” International Journal of Solids and Structures, 45, pp. 4543–4561 (2008).Google Scholar
5.Constantinou, M. C., Kartoum, A. and Kelly, J. M., “Analysis of Compression of Hollow Circular Elastomeric Bearings,” Engineering Structures, 14, pp. 103–111 (1992).Google Scholar
6.Ling, Y., Engel, P. A. and Brodsky, W. L., “Compression of Bonded Annular Rubber Blocks,” Journal of Engineering Mechanics, ASCE, 121, pp. 661–666 (1995).Google Scholar
7.Ling, Y., “An Approximate Solution for the Compression of a Bonded Thin Annular Disk,” Journal of Applied Mechanics, ASME, 63, pp. 780–787 (1996).Google Scholar
8.Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover, New York (1972).Google Scholar
9. SAP2000 – Integrated Structural Analysis & Design Software, Computers and Structures Inc., Berkeley, California (1997).Google Scholar