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Fractional damping in a monoatomic chain with cubic nonlinearity
Milan Cajic,
Stepa Paunović,
Sondipon Adhikari
Proceedings of the 26th International Congress of Mechanical Engineering, Pages: 1 - 6
Swansea University Authors: Milan Cajic, Sondipon Adhikari
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DOI (Published version): 10.26678/abcm.cobem2021.cob2021-2340
Abstract
In this communication, we show the model of a nonlinear periodic chain with fractional-order damping included. The model includes point masses connected through cubic nonlinear and linear springs and fractional spring-pot elements. The motion equation is solved by using the first-order multiple scal...
| Published in: | Proceedings of the 26th International Congress of Mechanical Engineering |
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| Published: |
Brasil
ABCM
2021
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| Online Access: |
http://dx.doi.org/10.26678/abcm.cobem2021.cob2021-2340 |
| URI: | https://cronfa.swan.ac.uk/Record/cronfa61900 |
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| Abstract: |
In this communication, we show the model of a nonlinear periodic chain with fractional-order damping included. The model includes point masses connected through cubic nonlinear and linear springs and fractional spring-pot elements. The motion equation is solved by using the first-order multiple scales perturbation analysis. The case with weak nonlinearity and damping is observed and the corresponding dispersion equation derived. A parametric study is performed to examine the effects of different parameters on dispersion curves. Given the wavenumber, the cubic nonlinearityand fractional damping parameter have shown to produce lower frequencies than the corresponding undamped linear system. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant |
| Start Page: |
1 |
| End Page: |
6 |