Added Mass for Beam Mode Response

Abstract

In 1972 a method was presented for evaluating the added mass of fluid contained between two long co-axial cylinders. The resulting equations have been widely quoted in the literature, and the resistive forces obtained from these expressions have been utilized extensively in seismic and LOCA studies to demonstrate design integrity. The present study extends the analysis to less idealized design configurations in which a finite annular geometry is subjected to a velocity that is a function of the axial coordinate. The theory includes the capability to model the effect of any combination of closed-open axial boundary conditions on the fluid and to compute the added mass associated with motion of either or both of the radial boundaries.