Reduced order modeling of a cantilevered pipe conveying fluid applying a modular methodology

In this paper, a modular methodology, in which constraints associated to compatibility conditions can be included a posteriori, is applied for the derivation of a non-linear reduced order model of a cantilevered pipe conveying fluid, a classical problem in the area of Fluid-Structure Interaction (FSI). The dynamic response of this model is detailed in the neighborhood of the equilibrium state, by describing the dependency of the eigenvalues of its linearized form with respect to its parameters. For two scenarios, these responses are compared to benchmark results available in the literature. Also, two numerical simulations are proposed to compare how accurately the reduced order model can reproduce the results computed by a non-linear FEM model, previously proposed by the authors for this problem. The assessment of the numerical analyses indicates good agreement in the performed comparisons, which illustrates the good quality of the non-linear reduced order model proposed and suggests that the adopted modeling approach might be successfully applied for other problems in FSI.