Chaotic oscillations in pipes conveying pulsating fluid

摘要: Chaotic motions of a simply supported nonlinear pipe conveying fluid with harmonie velocity fluetuations are investigated. The investigated in two flow regimes, one below and above the critical for divergence. Analyses carried out taking into account single mode approximations neighbourhood fundamental resonance. amplitude harmonic perturbation is considered as control parameter. Both period doubling sequence sudden transition to chaos an asymmetric 2 motion observed. Above explained terms periodic about equilibrium point shifting another through saddle point. Phase plane trajectories, Poincare maps time histories plotted giving nature motion. essentially give same qualitative behaviour. stability limits trivial nontrivial solutions obtained by multiple scale method balance which very good agreement numerical results.