Theoretical and Experimental Analysis of Hysteresis in Piezocomposite Airfoils using the Classical Preisach Model

O Bilgen, MI Friswell (Swansea University) & DJ Inman (Virgina Tech, USA)

Journal of Aircraft, Vol. 48, No. 6, November-December 2011, pp. 1935-1947


In this paper, the classical (scalar) Preisach model is used to predict hysteresis observed in several Macro-Fiber Composite (MFC) actuated piezocomposite bimorph devices: 1) two cantilevered beams, 2) a simply-supported thin airfoil, and 3) a cascading bimorph thick airfoil. This paper contributes to the research field by examining the effectiveness of the scalar Preisach model for operational and wind-tunnel tested piezocomposite airfoils in the presence of aerodynamic and inertial loading and subjected to two different electrical boundary conditions. A low-speed, open-circuit wind tunnel is used for experimental analysis. The flow speed is used as a parameter to understand the effect of non-uniform aerodynamic loading on the accuracy of the model. In addition, the excitation frequency is used as a parameter to understand the effect of inertial (mass) loading. It was observed that the aerodynamic loading, up to 19m/s, has a negligible effect on the aerodynamic output of the airfoils considered in this research. The classical Preisach model is capable of predicting the hysteresis observed in all of the samples tested with an average prediction error less than 6.8% for a 0.5Hz input signal and less than 9.3% for a 1Hz input signal. The increasing-decreasing and decreasing-increasing first-order transition curves are both found to be equally successful in developing the Preisach model for all samples.

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Link to paper using doi: 10.2514/1.C031374

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