Influence of boundary conditions on dynamics and stability of thin cylindrical shells conveying fluid

This paper is concerned with the effect of boundary constraints of thin cylindrical shells containing flowing fluid, and investigates the quantitative relation between the fundamental natural frequency and mode shape and the geometric parameters and the flow velocity in detail. The results show that although axial displacements are smaller than radical displacements, the effect of axial constraints is significant for simply supported systems. It makes the lowest critical velocity of instability increase by 40%, and the minimum frequencies by 50%, even for long shells (L/a=20.0). On the contrary, the influence of rotation constraint (w/x=O) is much smaller.