Pseudoelastic Shape Memory Alloys to Mitigate the Flutter Instability: A Numerical Study

Abstract : A passive control of aeroelastic instabilities on a two-degrees-of-freedom (dofs) system is considered here using shape memory alloys (SMA) springs in their pseudo-elastic regime. SMA present a solid-solid phase change that allow them to face strong deformations (∼10%) ; in the pseudo-elastic regime, an hysteresis loop appears in the stress-strain relationship which in turn gives rise to an important amount of dissipated energy. This property makes the SMA a natural candidate for mitigating undesired vibrations in a passive manner. A 2-dofs system is here used to model the classical flutter instability of a wing section in a uniform flow. The SMA spring is selected to act on the pitch in order to dissipate energy of the predominant motion. A simple phenomenological model for the SMA hysteresis loop is introduced, allowing for a quantitative study of the important parameters to optimize in view of an experimental design. Thanks to a simple phenomenological model for the SMA hysteresis loop, a quantitative numerical study is performed in order to exhibit the best tuning of the material parameters for controlling the flutter instability.
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M. Belhaq. Structural Nonlinear Dynamics and Diagnosis, 168, Springer, pp.353-365, 2015, Springer Proceedings in Physics, 978-3-319-19851-4. 〈10.1007/978-3-319-19851-4_17〉
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Arnaud Malher, Olivier Doaré, Cyril Touzé. Pseudoelastic Shape Memory Alloys to Mitigate the Flutter Instability: A Numerical Study. M. Belhaq. Structural Nonlinear Dynamics and Diagnosis, 168, Springer, pp.353-365, 2015, Springer Proceedings in Physics, 978-3-319-19851-4. 〈10.1007/978-3-319-19851-4_17〉. 〈hal-01206679〉

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