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

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.

[1]  G. Kerschen,et al.  Suppression Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 1: Theory , 2007 .

[2]  John Yen,et al.  Design and Implementation of a Shape Memory Alloy Actuated Reconfigurable Airfoil , 2003 .

[3]  Cyril Touzé,et al.  Non-linear dynamic thermomechanical behaviour of shape memory alloys , 2012 .

[4]  Davide Bernardini,et al.  The influence of model parameters and of the thermomechanical coupling on the behavior of shape memory devices , 2010 .

[5]  George Platanitis,et al.  Control of a Nonlinear Wing Section Using Leading- and Trailing-Edge Surfaces , 2004 .

[6]  Fabrizio Vestroni,et al.  Nonlinear thermomechanical oscillations of shape-memory devices , 2004 .

[7]  Robert H. Scanlan,et al.  A Modern Course in Aeroelasticity , 1981, Solid Mechanics and Its Applications.

[8]  Alexander F. Vakakis,et al.  Suppressing Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers , Part 1 : Theory , 2007 .

[9]  Alexander F. Vakakis,et al.  Suppressing Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 2: Experiments , 2007 .

[10]  Cyril Touzé,et al.  Experimental analysis of the quasi-static and dynamic torsional behaviour of shape memory alloys , 2012 .

[11]  A. Kurdila,et al.  Adaptive Feedback Linearization for the Control of a Typical Wing Section with Structural Nonlinearity , 1997, 4th International Symposium on Fluid-Structure Interactions, Aeroelasticity, Flow-Induced Vibration and Noise: Volume III.

[12]  Arata Masuda,et al.  An overview of vibration and seismic applications of NiTi shape memory alloy , 2002 .

[13]  Fabrizio Vestroni,et al.  Non-isothermal oscillations of pseudoelastic devices , 2003 .

[14]  A. Visintin.  Differential models of hysteresis , 1994 .