关键词: 轴对称振动, 圆柱体储液罐, 解析法, 近似解

Abstract: An analytical method for the computation of the axisymmetric dynamic characteristics of ground-supported,filled,upright circular cylindrical storage tanks is presented.The liquid is assumed to be non-viscous and compressible.The effects of liquid compressibility and dimensions of tanks on the natural frequencies of the axisymmetric vibrations of tank-liquid system are discussed.An approximate equation for calculating the fundamental natural frequency is derived by an application of Galerkin's method.The natural frequencies and mode shapes calculated by the analytical method showed excellent agreement with those obtained by Haroun and Tayel with the finite element method for tanks filled with incompressible liquid.A number of numerical examples also indicate a good agreement between the analytical and the approximate solutions.