Dynamics and stability of pinned-clamped and clamped-pinned cylindrical shells conveying fluid

The paper examines the dynamics and stability of fluid-conveying cylindrica l shells having pinned-clamped or clamped-pinned boundary conditions, where "pinned" is an abbreviation for "simply supported". Flugge's equations are used to describe the shell motion, while the fluid-dynamic perturbation pr essure is obtained utilizing the linearized potential flow theory. The solu tion is obtained using two methods-the travelling wave method and the Fouri er-transform approach. The results obtained by both methods suggest that th e negative damping of the clamped-pinned systems and positive damping of th e pinned-clamped systems, observed by previous investigators for any arbitr arily small flow velocity, are simply numerical artefacts; this is reinforc ed by energy considerations, in which the work done by the fluid on the she ll is shown to be zero. Hence, it is concluded that both systems are conser vative. (C) 2001 Academic Press.