Geometrically exact dynamics of cantilevered pipes conveying fluid

In this paper, the global dynamics of a hanging fluid conveying cantilevered pipe with concentrated mass attached at free end is investigated. The problem interest not only for engineering applications, but also because it displays interesting and often surprising dynamical behaviour. widely used nonlinear models based on transverse motion are able to accurately capture behaviour system very high flow velocities. Thus, high-dimensional geometrically-exact model developed first time, utilising Hamilton’s principle together Galerkin modal decomposition technique. Extensive numerical simulations conducted investigate influence key parameters. It shown that sufficiently velocities past instability (Hopf bifurcation), undergoes multiple bifurcations extremely large oscillation amplitudes rotations, beyond validity third-order proposed to-date. presence an additional tip mass, quasi-periodic chaotic motions observed; additionally, such cases exact absolutely essential capturing even relatively small instability.