Dynamic Behavior of Articulated Pipes Conveying Fluid With Harmonic Velocity Using the Method of Multiple time scales

Fluid contact structures as a branch of the Fluid–Structure Interaction (FSI) are among the physical models that have been able to present themselves as a new example of dynamic systems due to their very rich dynamics and Pay close attention to scientists. The dynamic behavior of two rigid straight articulated pipes conveying fluid is studied. The flow rate in the pipe is harmonic. The numerical results are compared with the present method and Runge–kutta 4th order for validation and an acceptable match between them is obtained. The method of multiple time scales is used to drive the time response and phase plane curves. The influence of the initial velocity , ratio fluid mass per total fluid mass and mass of pipes and flow frequency on the time response and phase plane curves are examined. The results show, by increasing "u" _"0" and and decreasing the system is closer to loss of stability and increasing dynamic chaos.