Flow-Induced Flutter Instability of Functionally Graded Cantilever Pipe

In this paper, the flutter characteristics of a functionally graded cantilever pipe conveying flow are presented. The functionally graded structural model is based on the classical thin-walled beam theory. The governing equations and boundary conditions are determined via Hamilton's variational principle. Then, the pipe partial differential equations are converted into a set of ordinary differential equations using the extended Galerkin method. Finally, having solved the resulting structural-fluid eigenvalue system of equations, we shed lights on the effects of volume fraction index and mass ratio on flutter speeds and frequencies. A validation of the selected result in comparison to the previous published literatures is also supplied.