The lateral vibration differential equation for a marine riser conveying fl
uid is derived by use of the small deflection theory, and the effect of int
ernal flow velocity and top tension on the natural frequency of the riser i
s studied by use of FEM. At the same time, the preliminary relationship bet
ween the natural Frequency and riser span under different internal flow vel
ocities is obtained, the effect of riser supports on the vibration frequenc
y is computed. It is found that the natural frequency of the marine riser i
ncreases with the increase of top tension, however decreases with the incre
ase of internal flow velocity. In addition, the Frequency decreases drastic
ally with the increase of riser span.