Vibration of submerged and ring stiffened conical shells

Flügge equations of motion and power series solution were used to study the vibrational characteristics of submerged and ring stiffened conical shells. The ring stiffeners were modeled by using a smeared approach. The fluid loading of water was taken into account through dividing the shell into narrow strips which were considered to be equivalent cylindrical shells. The characteristics of natural vibration and forced vibration of the shells were analyzed. The numerical and analytical results are in good agreement. The influences of fluid loading, ring stiffeners, semi-cone angle and boundary conditions on vibrational characteristics of shells were studied. The results show that the fluid loading and ring stiffeners affect as added mass and damping on conical shells.