ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Intrusive Flutter Solutions with Stochastic Uncertainty
Received date: 2013-11-18
Revised date: 2014-01-14
Online published: 2014-01-22
Supported by
National Natural Science Foundation of China (11302011, 11172025); Research Fund for the Doctoral Program of Higher Education of China (20131102120051)
There is generally a certain distribution for parameter uncertainty in an aeroelastic model. In order to quantify the influence of stochastic uncertain parameters on the flutter boundary, a flutter analysis with generalized stiffness stochastic uncertainty is conducted in this work, based on the intrusive polynomial chaos expansion (PCE) theory. According to the traditional flutter solution method, namely the p-k method, an augmented PCEPK (polynomial chaos expansion with p-k) method for an uncertain aeroelastic system is presented to analyze its aeroelastic stability range. This flutter uncertainty analysis method is applied to a wing model, considering structural uncertainties with uniform distribution. A comparison of accuracy and computational time indicates that the range of flutter velocity by the PCEPK method is consistent with that obtained by the robust μ method. Finally, the standard Monte Carlo simulation (MCS) are employed to validate the results of the PCEPK method. In addition, though the parameter uncertainty is stochastic, the flutter velocity range is deterministic, invariant with the sample number, which resists the dependence on the random samples by the usual stochastic method. Moreover, the influence of the different distribution types of parameter uncertainty on flutter boundary can be obtained by the PCEPK method, which is more applicable when compared with the robust flutter analysis with μ method.
Key words： aeroelasticity; flutter; p-k method; uncertainty; polynomial chaos expansion; intrusive
DAI Yuting , YANG Chao . Intrusive Flutter Solutions with Stochastic Uncertainty[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2014 , 35(8) : 2182 -2189 . DOI: 10.7527/S1000-6893.2013.0520
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