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本文根据对称性采用半解析有限元法,将带有球形弹性隔板的球形贮箱中的三维流弹耦合问题化为两维问题.对流体域采用三角形环单元,球壳隔板采用截锥单元,分别应用Galerkin方法和Hamilton原理对流体和球壳隔板推导出了有限元离散方程.编制了计算机计算程序,并利用Arnoldi方法进行了算例计算与分析.
According to the symmetry, the semi-analytical finite element method is used in this paper to solve the two-dimensional problem of the three-dimensional flow-elastic coupling problem in spherical tanks with spherical elastic partitions. Triangular ring element is used for the fluid field, and the truncated cone element is used for the spherical shell diaphragm. The finite element discretization equation is deduced by Galerkin method and Hamilton principle separately for the fluid and the spherical shell diaphragm. The computer program is compiled and the calculation and analysis of the example are done by Arnoldi method.