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2019 | OriginalPaper | Buchkapitel

Wave and Vibration Analysis of Rotating Periodic Structures by Wave-Based Methods

verfasst von : Danilo Beli, Priscilla Brandão Silva, Jean-Mathieu Mencik, José Roberto de França Arruda

Erschienen in: Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM

Verlag: Springer International Publishing

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Abstract

The vibration of flexible rotating structures has been extensively investigated by the rotordynamics community. The analysis is usually performed via the finite element method using normal mode superposition. However, some interesting features of these structures may be hidden using a modal approach. In this paper, a wave-based approach is used to study the dynamic behavior of flexible rotating structures. Using a wave description, it is straightforward to show that the gyroscopic effect inherent to flexible rotating structures breaks the time-reversal symmetry. This corresponds to an asymmetric wave propagation, i.e., a forward-going wave and its corresponding backward-going pair travel with different wave speeds. In this paper, we show that this feature of flexible rotating structures makes them a natural mechanical circulator. On the other hand, we show that in the case of inhomogeneous flexible rotating structures designed as spectral gap elastic materials, i.e., phononic crystals or locally resonant metamaterials, the rotational speed has a strong influence in the location and width of the band gaps. The mathematical formulation of these problems have been presented by the authors elsewhere. Here, the conceptual aspects of these investigations are discussed under the light of original numerical simulation results.

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Titel: Wave and Vibration Analysis of Rotating Periodic Structures by Wave-Based Methods
verfasst von: Danilo Beli
Priscilla Brandão Silva
Jean-Mathieu Mencik
José Roberto de França Arruda
Verlag: Springer International Publishing
Buch: Proceedings of the 10th International Conference on Rotor Dynamics – IFToMM
Print ISBN: 978-3-319-99267-9

Electronic ISBN: 978-3-319-99268-6

Copyright-Jahr: 2019
DOI: https://doi.org/10.1007/978-3-319-99268-6_36

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