Modeling composite wing aeroelastic behavior with uncertain damage severity and material properties

Abstract

The effect of uncertain material properties and severity of damage on the aeroelastic behavior of a finite element composite wing model are predicted by applying the Polynomial Chaos Expansion method (PCE). Different damage modes, including the transverse matrix cracking and broken fibers, are induced into pre-defined locations in the laminates and the aeroelastic stability and dynamic response of the wing due to “1-cosine” vertical gusts are evaluated. For this purpose, PCE models that predict the variation due to uncertainty of the flutter speed and an “Interesting Quantity” (root shear force) of the wing box are developed based upon a small sample of observations, exploiting the efficient Latin Hypercube sampling technique. The uncertainty propagation on the output responses, in the form of probability density functions, is evaluated at low computational cost, implementing the PCE models and verified successfully against the actual results.