Abstract

A new theoretical model is presented on the added mass and natural frequencies of two coaxial fluid-coupled cylinders with free-clamped boundary conditions, a situation which has practical interest for seismic design of fast reactors(FR) or other engineering design scenarios. We modelize the boundary condition of cylinders using a sinusoidal mode function with basis transformation. The analytical method for the coaxial cylinders is verified by observing an excellent agreement with the finite-element analysis results, showing improved accuracy than Auyang’s model for lower values of circumferential wave numbers. By varying the length to radius ratio of cylinders, we observed that the model shows a better accuracy in the whole tested range, which largely covers the range of length to radius ratio of interest in the FR. In summary, this model can be used to evaluate the dynamic characteristics of the fluid-coupled system, especially in the stage of structural design for FR.

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