In this paper a non-intrusive adaptive stochastic collocation method is employed to predict limit-cycle oscillations of an elastically mounted airfoil with random structural properties.
The stochastic response of the airfoil due to several uncertain structural parameters are expanded on a multi-element generalized Polynomial Chaos basis. The parametric space is discretized and a Collocation/cubature grid is prescribed on each element.
A particular attention is paid to the computation of the stochastic supercritical bifurcation obtained when a hard spring is considered as the nonlinear restoring pitching force.
Numerical results show how the probability density function of the peak pitch response, computed for both supercritical and subcritical branches, is affected by independent multiple input random parameters with bounded distributions. The efficiency and robustness of the multi-element approach is investigated by means of analysis of h/p convergence and comparison with Monte-Carlo simulations and various stochastic bifurcation behaviors are investigated in details.