Impulsive response of nonuniform density liquid in a laterally excited tank
Abstract
A study on the impulsive component of the dynamic response of a liquid of nonuniform density in a tank undergoing lateral base excitations is presented. The system considered is a circular cylindrical tank containing an incompressible and inviscid liquid whose density increases with the liquid depth. The density distribution along the depth can be of any arbitrary continuous or discontinuous function. In the analysis, the liquid field is divided into n layers. The thickness of the liquid layers can be different, but the density of each liquid layer is considered to be uniform and is equal to the value of the original liquid density at the midheight of that layer. The problem is solved by the eigenfunction expansion in conjunction with the transfer matrix technique. The effect of the nonuniform liquid density on the impulsive component of the dynamic response is illustrated in a numerical example in which the linear and cosine distributions of the liquid density are assumed. The response quantities examined include the impulsive pressure, base shear, and moments. The results are presented in tabular and graphical forms. It is found that the impulsive pressure distribution along the tank wall is not sensitive to the detailed distribution function of the density, and the base shear and moments for the nonuniform liquid can be estimated by assuming an equivalent uniform liquid density that preserves the total liquid weight. The effect of tank flexibility is assessed by a simple approach in which the response quantities for flexible tanks are evaluated by simplified equations.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 April 1994
 Bibcode:
 1994STIN...9513679T
 Keywords:

 Cylindrical Tanks;
 Density Distribution;
 Dynamic Response;
 Dynamic Structural Analysis;
 Earthquakes;
 Liquid Sloshing;
 Pressure Distribution;
 Bending Moments;
 Eigenvectors;
 Flexibility;
 Seismic Waves;
 Shear Stress;
 Storage Stability;
 Fluid Mechanics and Heat Transfer