GREENS-FUNCTION SOLUTION FOR AXISYMMETRIC VIBRATION OF FLEXIBLE LIQUID-FILLED STORAGE TANKS

The dynamic response of a flexible, liquid-filled cylindrical storage tank subjected to high frequency vertical ground motions is investigated theoretically. The tank motion is idealized as that of a uniform, elastic, thin-walled cylindrical shell undergoing radial displacements; all axial deformations are neglected. The fluid is assumed to be inviscid and linearly compressible and to undergo small-amplitude, irrotational motion. Both the structural and fluid motions are expressed in terms of appropriate Green's functions. The axisymmetry of the response then leads to a pair of coupled line integral equations for the fluid velocity potential and its normal derivative on the walls of the tank. These equations are then solved numerically. Results are presented which illustrate the influence of the frequency of ground excitation and the various geometric and material parameters on the hydrodynamic pressure distribution and associated dynamic response of several example structures. © 1990.