Semler, C.; Païdoussis, M. P. Intermittency route to chaos of a cantilevered pipe conveying fluid with a mass defect at the free end. (English) Zbl 0861.73055 J. Appl. Mech. 62, No. 4, 903-907 (1995). The aim is to propose and study a mathematical model describing motion of a cantilevered pipe conveying a fluid. In addition to a lumped end-mass, the authors assume a contribution to the kinetic and potential energies due to the presence of a mass at the free end of the pipe. The concentrated mass gives rise to a Dirac delta function term in a governing nonlinear beam equation. This equation is approximated by means of Galerkin procedure. Such an approximation provides a system of ODEs which the authors solve numerically. A careful bifurcation analysis shows a sequence of periodic doubling bifurcations leading to an intermittency route to chaos when the flow velocity is increased beyond a critical value. Reviewer: D.Ševčovič (Bratislava) Cited in 1 Document MSC: 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:Hopf bifurcation; Dirac delta function term; nonlinear beam equation; Galerkin procedure; periodic doubling PDFBibTeX XMLCite \textit{C. Semler} and \textit{M. P. Païdoussis}, J. Appl. Mech. 62, No. 4, 903--907 (1995; Zbl 0861.73055) Full Text: DOI