Abstract
Important properties of linear systems, such as force-displacement proportionality and invariance of the resonant frequency, are not satisfied by nonlinear systems. The objective of this paper is to demonstrate that the intentional addition of properly tuned nonlinearities to a nonlinear system allows to retrieve those linear properties, enlarging the range over which a nonlinear system behaves linearly. Analytical findings are validated by numerical simulations.
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Acknowledgements
The authors would like to acknowledge the financial support of the European Union (ERC Starting Grant No. Vib 307265).
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Habib, G., Kerschen, G. (2018). Linearization of Nonlinear Resonances Through the Addition of Intentional Nonlinearities. In: Belhaq, M. (eds) Recent Trends in Applied Nonlinear Mechanics and Physics. Springer Proceedings in Physics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-63937-6_12
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DOI: https://doi.org/10.1007/978-3-319-63937-6_12
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