An Approach to Assessing the Added Mass for a Plate in a Channel

The Global Threat Reduction initiative (GTRI) was established by the National Nuclear Security Administration (NNSA) in 2004. One of the highlights of the program is to convert research and test reactors at home and abroad from Highly Enriched Uranium (HEU) to Low Enriched Uranium (LEU) fuels. By switching directly from HEU to LEU, an LEU reactor produces fewer neutrons than an HEU reactor, and in some cases, a direct switch from HEU to LEU results in the reactor being unable to achieve criticality. Under certain circumstances, criticality is achieved and the original neutron fluxes are restored with LEU fuel by adding more fuel elements to the core. Not all reactors, exemplified by the Advanced Test Reactor (ATR) at the Idaho National Lab (INL), have the luxury of simply adding more fuel to the core. In such cases, entirely new designs must be created and tested. The ATR utilizes plate type fuel. During the design and testing of the ATR fuel, flow induced vibrations were identified as potential source for experiment and fuel failure. Flow induced vibrations are problematic to solve because both the frequency of excitation and the modal frequencies of the object need to be determined. For the frequency of the object the frequency is often determined, either theoretically or experimentally without any influence of fluid. When a fluid is introduced, the fundamental frequency of an object can be greatly reduced allowing for resonance between the excitation frequency and the fundamental frequency of the plate. The consequence of such resonance is often failure of the component. Current methods for determining the frequency of a body immersed in a fluid requires the use of multi-physics software in order to determine (if at all possible) the frequency of the object. The work herein provides an alternative means of calculating the frequency of a plate by combining plate frequency theory to determine the added mass on the plate when in the presence of narrow channels. (authors)