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Study of the High-Amplitude Solutions in the System of Magnetic Sliding Oscillator with Many Degrees of Freedom

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Dynamical Systems in Theoretical Perspective (DSTA 2017)

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Abstract

Magnetic interactions are strongly non-linear, especially for small distances between magnets. Their implementation to the oscillator gives it the ability to display complex non-linear and chaotic behaviours. These phenomena under certain conditions can lead to widening of the vibration bandwidth of the system which in the case of energy harvesting systems increases their efficiency, especially under varying excitation conditions. In this paper we compare the numerical and experimental study of different systems of longitudinal magnetic oscillators with one and many degrees of freedom. Tested oscillator configurations differ in magnet parameters and system rigidity. In systems modelling we look for conditions in which the high-amplitude solutions occur over a wide frequency range. Predictions of models are next verified in experimental investigations.

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Acknowledgements

This work was supported by the Polish National Science Center under the grant Agreement No. DEC-2013/11/D/ST8/03308.

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Correspondence to Andrzej Rysak .

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Rysak, A., Gregorczyk, M., Chwełatiuk, K., Ga̧ska, D. (2018). Study of the High-Amplitude Solutions in the System of Magnetic Sliding Oscillator with Many Degrees of Freedom. In: Awrejcewicz, J. (eds) Dynamical Systems in Theoretical Perspective. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-96598-7_24

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