This content is not included in your SAE MOBILUS subscription, or you are not logged in.
Modeling the Stiffness and Damping Properties of Styrene-Butadiene Rubber
ISSN: 0148-7191, e-ISSN: 2688-3627
Published May 17, 2011 by SAE International in United States
Annotation ability available
Styrene-Butadiene Rubber (SBR), a copolymer of butadiene and styrene, is widely used in the automotive industry due to its high durability and resistance to abrasion, oils and oxidation. Some of the common applications include tires, vibration isolators, and gaskets, among others. This paper characterizes the dynamic behavior of SBR and discusses the suitability of a visco-elastic model of elastomers, known as the Kelvin model, from a mathematical and physical point of view. An optimization algorithm is used to estimate the parameters of the Kelvin model. The resulting model was shown to produce reasonable approximations of measured dynamic stiffness. The model was also used to calculate the self heating of the elastomer due to energy dissipation by the viscous damping components in the model. Developing such a predictive capability is essential in understanding the dynamic behavior of elastomers considering that their dynamic stiffness can in general depend on temperature.
CitationLin, H., Bengisu, T., and Mourelatos, Z., "Modeling the Stiffness and Damping Properties of Styrene-Butadiene Rubber," SAE Technical Paper 2011-01-1628, 2011, https://doi.org/10.4271/2011-01-1628.
- Lin, H., Bengisu, T., and Mourelatos, Z., “Dynamic Properties of Styrene-Butadiene Rubber for Automotive Applications,” SAE Technical Paper 2009-01-2128, 2009, doi:10.4271/2009-01-2128.
- Bland, D. R., The Theory of Linear Viscoelasticity, Pergamon Press, New York, 1960.
- Findley, W. N., Lai, J. S., and Onaran, K., Creep and Relaxation of Nonlinear Viscoelastic Materials, Dover, New York, 1976.
- Ferry, J. D., Viscoelastic Properties of Polymers, 3rd Edition, Academic Press, New York, 1982.
- Christensen, R. M., Theory of Viscoelasticity, 2nd Edition, Academic Press, New York, 1982.
- Tschoegl, N. M., The Phenomenological Theory of Linear Viscoelastic Behavior, Springer, Berlin, 1989.
- Mase, George E., Theory and Problems of Continuum Mechanics, Schaum's Outline Series, New York, 1970.
- Park, S.W., “Analytical Modeling of Viscoelastic Dampers for Structural and Vibration Control,” International Journal of Solids and Structures, 38, 8065-8092, 2001.
- Inaudi, J. A., “Time-Domain Analysis of Linear Hysteretic Damping,” Earthquake Engineering and Structural Dynamics, Vol. 25, 529-545, 1996.
- Chapra, Steven C. and Canale, Raymond P., Numerical Methods for Engineers, McGraw-Hill, New York, 1988.