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.

摘要： 本文用解析方法对地上立式圆柱形储液罐的轴对称振动特性进行了研究,初步探讨了液体的可压缩性,罐的几何尺寸对储液罐轴对称固有频率的影响,并给出了计算固有基频的近似公式.对于盛不可压缩液体的储罐,本文用解析法计算出的频率值、振型与Haroun和Tayel用有限元法计算出的结果符合很好.计算表明:对于绝大多数储液罐,近似公式计算出的固有基频与解析值非常接近.

关键词: 轴对称振动, 圆柱体储液罐, 解析法, 近似解