Nonlinear Resonant Responses, Mode Interactions, and Multitime Periodic and Chaotic Oscillations of a Cantilevered Pipe Conveying Pulsating Fluid under External Harmonic Force

Figure 7

The bifurcation diagrams and maximum Lyapunov exponents of the cantilevered pipe conveying pulsating fluid are given for the parametric excitations of the flow velocities when the external excitation is . (a) versus flow velocity, (b) versus flow velocity, and (c) maximum Lyapunov exponents versus flow velocity.

(a)

(b)

(c)