Interval analysis of the wing divergence

In this paper the Taylor expansion (TE) is combined with the optimization and anti-optimization problems (OAP) solutions of parameterized interval analysis (PIA) to study the effect of structural uncertainties on the divergence of wing. Through a two-dimensional wing example, the TE + PIA + OAP method developed by this paper is compared with the classic interval analysis (CIA), the results show that the TE + PIA + OAP method can reduce overestimation in the CIA and TE method, and the interval of divergence dynamic pressure predicted by the TE + PIA + OAP method is as narrow as the one from the PIA + OAP methods, but the computation cost of the TE + PIA + OAP method is much lower. In addition an actual engineering example of forward swept wing with uncertain structural parameters is studied by the TE + PIA + OAP method to illustrate the capability to solve the real divergence problem of wing with uncertain structural parameters.