Nonlinear Behaviors of Spinning Pipes Conveying Fluid with Pulsation

Bifurcation analysis is conducted to investigate the dynamics of a spinning pipe conveying fluid with pulsation. The partial differential equations of the system are obtained by considering the nonlinearity in curvature and inertia. They are then discretized to the ordinary differential equations by means of the Galerkin expansion so that the primary and combination resonance conditions are imposed to the system. Moreover, the multiple scales method is utilized to solve the resultant equations, and the stability of the equilibrium points of the system is determined through the continuation method. The equilibrium solutions are also examined by the numerical integration, by which the existence of double jump, saddle node and Hopf bifurcations are demonstrated for different values of the fluid velocity.

Automated summary

Bifurcation analysis was used to investigate the dynamics of a spinning pipe conveying fluid with pulsation. The study found the existence of double jump, saddle node, and Hopf bifurcations for different values of fluid velocity through numerical integration.