Equivalent Homogeneous FE Model for Elastomeric Bearings
Publication: Journal of Engineering Mechanics
Volume 113, Issue 1
Abstract
An “equivalent homogeneous, orthotropic” model that includes edge effects and an accompanying finite element analysis is presented for elastomeric bearings. The model is developed for three‐dimensional configurations with horizontal layers, and for linear, elastic, small deformation conditions. The equivalent homogeneous theory, in addition to capturing. the overall response characteristics of the layered elastomeric bearing system, approximately models the important edge effects, which occur at and near boundaries that cut the layers, and the stress concentrations at layer interfaces. The primary dependent variables for the theory have been selected such that the highest derivatives appearing in the strain energy function are first‐order, thus requiring only C° continuity of the finite element approximations. As a result, the finite element analysis is simple and computationally efficient. Numerical examples are presented to verify the theory and to illustrate potential applications of the analysis.
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References
1.
Chow, H. M., and Herrmann, L. R. (1984). “Investigation of a refined plane elasticity theory.” Proc. 5th Engrg. Mech. Div. Specialty Conf., ASCE, Univ. of Wyoming, New York, N.Y., 503–506.
2.
Derham, C. J., and Thomas, A. G. (1980). “The design and use of rubber bearings for vibration isolation and seismic protection of structures.” Engrg. Structures, 2(3), 53–58.
3.
Gent, A. N., and Mienecke, E. A. (1970). “Compression, bending and shear of bonded rubber blocks.” Polymer Engrg. Science, 10(1), 48–53.
4.
Kulkami, S. B. (1976). “Design criteria for elastomeric bearings, Volume II—Design Manual.” Thiokol/Wasatch Division, AD/A‐024767, Brigham City, Utah.
5.
Herrmann, L. R. (1979). “Finite element modeling of composite edge effects.” Proc. ASCE 7th Conf. on Elect. Computations, New York, N.Y., 593–607.
6.
Herrmann, L. R., and Al‐Yassin, Z. (1978). “Numerical analysis of reinforced soil systems.” Proc. Symp. on Earth Reinforcement, ASCE, New York, N.Y., 428–457.
7.
Herrmann, L. R., and Schamber, R. A. (1981). “Finite element analysis of layered systems with edge effects.” Numerical methods' for coupled problems, E. Hinton, P. Bettess, R. W. Lewis, Eds., Pineridge Press, Swansea, United Kingdom, 418–429.
8.
Herrmann, L. R., Welch, K. R., and Lim, C. K. (1984). “Composite FEM analysis for layered systems,” J. Engrg. Mech., ASCE, 110(9), 1284–1302.
9.
Lim, C. K. (1985). “3‐D linear composite FEM for layered systems,” thesis presented to the University of California, at Davis, Calif., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Moore, J. K., and Herrmann, L. R. (1983). “A stress‐strain analysis of rubber and steel composite bearings.” Proc. 4th Engrg. Mech. Div. Specialty Conf. on Recent Advances in Engrg. Mech. and Their Impact on Civ. Engrg. Practice, ASCE, 2, 734–737.
11.
Nayfeh, A. H. (1973). Perturbation methods. John Wiley and Sons, New York, N.Y.
12.
Pagano, N. J. (1978). “Stress fields in composite laminates.” Int. J. Solids and Struct., 14, 385–400.
13.
Reddy, J. N. (1984). Energy and variational methods in applied mechanics. John Wiley and Sons, New York, N.Y.
14.
Rejcha, C. (1964). “Design of elastomer bearings.” PCI J., 9(2), 62–78.
15.
Sino, M. L. (1966). “A microstructure continuum theory for laminated elastic composites,” thesis presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
16.
Stanton, J. F., and Roeder, C. W. (1982). “Elastomeric bearings design, construction and materials.” Report 248, National Cooperative Highway Research Program, Nat. Research Council, Washington, D.C.
17.
Sun, C. T., Achenback, J. D., and Herrmann, G. (1968). “Continuum theory for a laminated medium.” J. Appl. Mech., 35, 467–475.
18.
Tsai, S. W., and Hahn, H. T. (1980). Introduction to composite materials. Technomic Publishing Co., Westport, Conn.
19.
Zienkiewicz, O. C. (1977). The finite element method. McGraw‐Hill, London, England.
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Copyright © 1987 ASCE.
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Published online: Jan 1, 1987
Published in print: Jan 1987
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