Bifurcation and Chaos of Slightly Curved Pipe Conveying Fluid
by
B. Gultekin Sinir
Department of Mathematics, Celal Bayar University, Turkey

In this paper, bifurcation and chaos of slightly curved pipes conveying fluid are investigated. The equation of motion is derived for constant fluid velocity by Newton’s second low. The equation is obtained in integro-differential equation form. The 1-term and 2-term Galerkin truncations are respectively employed to simplify the partial differential equation that governs the transverse motion of the pipe into a set of ordinary differential equation. The bifurcation diagrams are presented in the case the fluid velocity is varied. Numerical simulations indicate that periodic and chaotic motions occur in the transverse vibrations of the slightly curved pipe.

Date received: April 2, 2007