New insight into the stability and dynamics of fluid-conveying supported pipes with small geometric imperfections

Abstract In several previous studies, it was reported that a supported pipe with small geometric imperfections would lose stability when the internal flow velocity became sufficiently high. Recently, however, has become clear this conclusion may be at best incomplete. A reevaluation of problem is undertaken here by essentially considering flow-induced static deformation pipe. With aid absolute nodal coordinate formulation (ANCF) and extended Lagrange equations for dynamical systems containing non-material volumes, nonlinear governing three different are introduced formulated. Based on extensive numerical calculations, equilibrium configuration, stability, dynamics considered system determined analyzed. The results show imperfection half sinusoidal wave, could not even if reaches an extremely high value 40. However, one or waves, first-mode buckling instability take place velocity. Moreover, based further parametric analysis, effects amplitude aspect ratio deformation, critical instability, responses pipes