Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances

摘要: Abstract Nonlinear dynamics of a hinged–hinged pipe conveying pulsatile fluid subjected to combination and principal parametric resonance in the presence internal is investigated. The system has geometric cubic nonlinearity due stretching effect out immovable support conditions at both ends. conveys velocity with harmonically varying component over constant mean velocity. For appropriate choice parameters, natural frequency second mode approximately three times that first for range flow velocity, activating three-to-one resonance. analysis carried using method multiple scales by directly attacking governing nonlinear integro-partial-differential equations associated boundary conditions. set first-order ordinary differential modulation amplitude phase analyzed numerically Stability, bifurcation response behavior are detuning harmonic perturbation taken as control parameters. exhibits excited indirectly modes modal interaction. Dynamic presented form plane trajectories, Poincare maps time histories. A wide array dynamical observed illustrating influence