The perturbation method is applied to an aeroelastic system consisting of a clamped plate with a ¿eld of elastic properties. A one-dimensional ¿ow over the upper surface is considered. The dynamics of the plate are represented by means of a Rayleigh-Ritz technique and the aerodynamic forces are approximated using piston theory. The elasticity modulus is discretised with a Karhunen-Loeve expansion. The computation of the ¿rst and second-order derivatives of the eigenvalues of the dynamic problem, which are required in the perturbation method, is explained in detail. The statistical properties of the ¿ow velocity at which ¿utter ¿rst occurs are studied.
|Title of host publication||Proceedings of the 9th International Conference on Structural Safety and Reliability (ICOSSAR '05), 19-23 June 2005, Rome, Italy|
|Place of Publication||Italy, Rome|
|Publication status||Published - 2005|