Finite Element Analysis of Viscoelastic Elastomeric Structures Vibrating about Non-Linear Statically Stressed Configurations 811309
This paper concerns the finite element method as applied to the analysis of small oscillations about the non-linear equilibrium position in elastomeric components. The capability, which was developed at Ford, has been implemented in the general-purpose finite element program, MARC. The material behavior is treated by use of a modified form of the constitutive equations derived by Lianis [Proc. Fourth International Congress on Rheology, Pt. 2, 109 (1965)] using the finite linear viscoelasticity theory of Coleman and Noll [Rev. Mod. Phys., 33 239 (1961)]. In order to establish numerical accuracy, program predictions are compared with a closed form solution for the torsional and axial vibrations in a cylinder under axial and twisting pre-loads: differences between the finite element solutions and exact results are less than two (2) percent. The measured static force deflection response and dynamic stiffness k* (= k1 + jk2) of two automotive components used for vibration attenuation and isolation purposes is shown to be in good agreement with the theoretical predictions.
Citation: Morman, K., Kao, B., and Nagtegaal, J., "Finite Element Analysis of Viscoelastic Elastomeric Structures Vibrating about Non-Linear Statically Stressed Configurations," SAE Technical Paper 811309, 1981, https://doi.org/10.4271/811309. Download Citation
K. N. Morman, B. G. Kao, J. C. Nagtegaal
Ford Motor Co., MARC Analysis Research Corp.
4th International Conference on Vehicle Structural Mechanics
Fourth International Conference on Vehicle Structural Mechanics-P-099