Numerical Modelling of Metal-Elastomer Spring Nonlinear Response for Low-Rate Deformations

Sikora, Wojciech; Michalczyk, Krzysztof; Machniewicz, Tomasz

doi:10.2478/ama-2018-0005

Abstract

Advanced knowledge of mechanical characteristics of metal-elastomer springs is useful in their design process and selection. It can also be used in simulating dynamics of machine where such elements are utilized. Therefore this paper presents a procedure for preparing and executing FEM modelling of a single metal-elastomer spring, also called Neidhart’s spring, for low-rate deformations. Elastomer elements were made of SBR rubber of two hardness values: 50°Sh and 70°Sh. For the description of material behaviour the Bergström-Boyce model has been used.

References

1. Arruda E.M., Boyce M.C. (1993), A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials, Journal of the Mechanics and Physics of Solids, 41 (2), 389-412.10.1016/0022-5096(93)90013-6
Open DOI Search in Google Scholar Back to article
2. Bergström J.S. (1999), Large strain time-dependent behavior of elastomeric materials, Ph.D. thesis, MIT.
Search in Google Scholar Back to article
3. Bergström J.S. (2015), Mechanics of solid polymers: theory and computational modeling, William Andrew, San Diego, USA.
Search in Google Scholar Back to article
4. Bergström J.S., Boyce M.C. (1998), Constitutive modeling of the large strain time-dependent behavior of elastomers, Journal of the Mechanics and Physics of Solids, 46, 931-954.10.1016/S0022-5096(97)00075-6
Open DOI Search in Google Scholar Back to article
5. Chouinard, P., Proulx, S., Lucking Bigué J.P., Plante, J. (2009), Design of an antagonistic bistable dielectric elastomer actuator using the Bergstrom-Boyce constitutive viscoelastic model, presented at 33rd Mechanisms and Robotics Conference, 2009, San Diego, CA, USA.10.1115/DETC2009-86476
Search in Google Scholar Back to article
6. Cieplok G. (2009), Verification of the nomogram for amplitude determination of resonance vibrations in the run-down phase of a vibratory machine, Journal of Theoretical and Applied Mechanics, 47, 295-306.
Search in Google Scholar Back to article
7. Dal H., Kaliske M. (2009), Bergström–Boyce model for nonlinear finite rubber viscoelasticity: theoretical aspects and algorithmic treatment for the FE method, Computational Mechanics, 44, 809–823.10.1007/s00466-009-0407-2
Search in Google Scholar Back to article
8. Diego S., Casado J. A, Carrascal I., Ferreno D., Cardona, J., Arcos R. (2017), Numerical and experimental characterization of the mechanical behavior of a new recycled elastomer for vibration isolation in railway applications, Construction and Building Materials, 134, 18-31.10.1016/j.conbuildmat.2016.12.115
Search in Google Scholar Back to article
9. Doi M., Edwards S.F. (1986), The theory of polymer dynamics. Oxford University Press, Oxford.
Search in Google Scholar Back to article
10. Gennes P.G. (1971), Reptation of a polymer chain in the presence of fixed obstacles, The Journal of Chemical Physics, 55 (2), 572-579.10.1063/1.1675789
Search in Google Scholar Back to article
11. Gent A. N. (1996), A new constitutive relation for rubber, Rubber Chemistry and Technology, 69, 59-61.10.5254/1.3538357
Open DOI Search in Google Scholar Back to article
12. Ghoreishy M.H.R., Firouzbakht M., Naderi G. (2014), Parameter determination and experimental verification of Bergström-Boyce hysteresis model for rubber compounds reinforced by carbon black blends. Materials and Design, 53, 457–465.10.1016/j.matdes.2013.07.040
Search in Google Scholar Back to article
13. Ghoreishy M.H.R., Naderi G., Roohandeh B. (2015), An experimental investigation on the degradation effect of ozone on hyperelastic behavior of an NR/BR blend, Iranian Polymer Journal, 24(12), 1015-1024.10.1007/s13726-015-0389-1
Search in Google Scholar Back to article
14. Hossain M., Vu D.K., Steinmann P. (2012), Experimental study and numerical modelling of VHB 4910 polymer, Computational Materials Science, 59, 65-74.10.1016/j.commatsci.2012.02.027
Search in Google Scholar Back to article
15. Kießling R., Landgraf R., Scherzer R., Ihlemann J. (2016), Introducing the concept of directly connected rheological elements by reviewing rheological models at large strains, International Journal of Solids and Structures, 97-98, 650-667.10.1016/j.ijsolstr.2016.04.023
Search in Google Scholar Back to article
16. Mooney M. (1940), A theory of large elastic deformation, Journal of Applied Physics, 11(9), 582-592.10.1063/1.1712836
Open DOI Search in Google Scholar Back to article
17. Neidhart H. (1951), Elastic joints, US patent 2 712 742.
Search in Google Scholar Back to article
18. Sikora W., Michalczyk K., Machniewicz T. (2016), A study of the preload force in metal-elastomer torsion springs, Acta Mechanica et Automatica, 10(4), 300-305.10.1515/ama-2016-0047
Search in Google Scholar Back to article
19. Yeoh O.H. (1993), Some forms of the strain energy function for rubber, Rubber Chemistry and Technology, 66(5), 754-771.10.5254/1.3538343
Open DOI Search in Google Scholar Back to article

Numerical Modelling of Metal-Elastomer Spring Nonlinear Response for Low-Rate Deformations

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