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本文按有限元法导出了回转壳的刚度阵和质量阵,并用有限元法与源汇法 相结合的方法导出了该容器中液体的刚度阵(重力引起的)与质量阵,把它们 相应地加在一起就可用于对贮液罐作水弹性抗震分析。同时,对文中两个具有 柱支承的贮液罐,因其在水平地震时其周向主要呈cosθ变形,于是,可利用 “子结构”的概念来处理当回转壳轴对称性被破坏时所出现的富氏系数耦联问 题。最后,为了使贮液罐抗震分析得到简化,本文又在上面计算分析的基础 上,按梁变形理论对文中列举的三个具体算例进行了抗震分析。从而为一些较 复杂的水中工程结构的抗震分析提供了近似计算方法。 文后列举了三个算例的频率实测结果。
In this paper, the stiffness matrix and the mass array of the revolving shell are derived by the finite element method. The finite element method and the source-sink method are used to derive the stiffness matrix (gravity-induced) and mass matrix of the liquid in the container, and they are added accordingly. Together, they can be used for hydroelastic analysis of liquid storage tanks. At the same time, for the two liquid storage tanks with column support, because of its horizontal cosθ deformation in the circumferential direction, the concept of “substructure” can be used to deal with when the axial symmetry of the rotating shell is destroyed. The appearance of the Coulomb coefficient coupling problem. Finally, in order to simplify the anti-seismic analysis of the liquid storage tank, this paper also carried out seismic analysis of the three concrete examples cited in the paper on the basis of the above calculation and analysis. This provides an approximate calculation method for the seismic analysis of some of the more complex underwater structures. The results of frequency measurement of three examples are listed in the text.