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

摘要: In this paper, the nonlinear planar vibration of a pipe conveying pulsatile fluid subjected to principal parametric resonance in presence internal is investigated. The hinged two immovable supports at both ends and conveys velocity with harmonically varying component over constant mean velocity. geometric cubic nonlinearity equation motion due stretching effect pipe. natural frequency second mode approximately three times first for range flow velocity, resulting three-to-one resonance. analysis done using method multiple scales (MMS) by directly attacking governing integral-partial-differential equations associated boundary conditions. set first-order ordinary differential modulation amplitude phase analyzed numerically mode. Stability, bifurcation, response behavior are results show new zones instability A wide array dynamical observed, illustrating influence