Nonlinear and chaotic fluidelastic vibrations of a flexible pipe conveying fluid

摘要: The dynamics of a cantilevered pipe conveying fluid have been investigated, both theoretically and experimentally, focusing on the nonlinear effects introduced by motion-limiting constraints. experiments indicated that, with increasing flow velocity, beyond Hopf bifurcation (flutter) there are regions period-doubling chaos. Fractal dimension calculations recorded vibration signals showed that finite-dimensionalmodelling system is possible. Accordingly, two-degree-of-freedom, four-dimensional analytical model was implemented, aim investigating existence chaotic vibrations in parameter space this autonomous system. Chaotic were indeed found to exist, aid modern numerical techniques, involving construction diagrams determination Lyapunov exponents power spectra. results qualitative agreement experimental observations.