A conical frustum shell is used as the reactor internal structure of an integral reactor, SMART that is under development by KAERI (Korea Atomic Energy Research Institute). As a basic study on the fluid-structure interaction of the shell structure, a theoretical formulation has been suggested on the free vibration of a thin-walled conical frustum shell filled with an ideal fluid. In the theoretical study, it is assumed that the shell is simply supported or fixed at both ends. The motion of fluid coupled with the shell is determined by means of the velocity potential flow theory. Additionally, in order to calculate the normalized natural frequencies that represent the fluid effect on a fluid-coupled system, finite elemtn analyses for a fluid-filled conical frustum shell were carried out. It was found that the normalized natural frequencies increase according to increase of mode numbers except when the circumferential mode number, n=0.
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