This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
Finite Element Analysis of Viscoelastic Elastomeric Structures Vibrating about Non-Linear Statically Stressed Configurations
Annotation ability available
Sector:
Language:
English
Abstract
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.
Recommended Content
Authors
Topic
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.Also In
References
- Cardillo, R. M. “Dynamic Testing of Elastomer Mountings” J. Appl. Polym. Sci 8 53 1964
- Payne A. R. Whittaker, R. E. “Low Strain Dynamic Properties of Filled-Rubbers” Rubber Chemistry and Technology 44 440 1971
- Lianis, G. “Small Deformations Superposed on an Initial Large Deformation in Viscoelastic Bodies” Proc. Fourth Int. Congress on Rheology, Pt. 2, Interscicnce, New York ( 1965 109
- Coleman B. D. Noll, W. “Foundations of Linear Viscoelasticity” Rev. Mod. Phys 33 239 1961 36
- Morman, K. N. “Application of Finite Linear Viscoelasticity to Materials Exhibiting Separability of Time and Strain Effects Under Small Superposed Deformations”, submitted to J. Rheology
- Morman, K. N. Jr Nagtegaal, J. C. “Finite Element Analysis of Small Amplitude Vibrations in Pre-Strained Non-linear Viscoelastic Solids” submitted to Int. J. Num. Meth. Engng
- MARC User Information Manuals A-G MARC Analysis Research Corp Palo Alto, California
- Oden, J. T. Finite Elements of Non-Linear Continua McGraw Hill New York 1972
- James A. G. Green, A. “Strain Energy Functions of Rubber II. The Characterization of Filled Vulcanizates” J. Appl. Polym. Sci 19 1319 1975
- James, A. G. Green, A. Simpson, G. M. “Strain Energy Functions of Rubber I. Characterization of Gum Vulcanizates” J. Appl. Polym. Sci 19 1033 1975
- Morman K. N. Kao, B. G. “Torsional and Axial Vibrations in a Non-Linear Viscoelastic Cylinder Under Axial and Twisting Pre-Loads” Ford Technical Report
- Goldberg, W. “An Experimental Investigation of Non-Linear Isothermal Viscoelasticity” PhD Thesis Purdue University 1967