带填充结构圆柱形容器内液体横向晃荡特征研究

Liquid Horizontal Sloshing Behavior in Cylindrical Tank with Filling Structure

应用比例边界有限元法(SBFEM)研究了带填充结构圆柱形容器内液体横向晃荡问题。忽略流体的黏性并假设流体不可压缩,利用变分原理,推导出各子域速度势的SBFEM控制方程,引入贝塞尔函数作为基本解并根据匹配边界条件求解控制方程。将SBFEM计算结果与解析解进行比较,在很少的离散单元下能得到很高的计算精度,从而验证了该方法的精确性和高效性。同时,数值结果表明选取合适的填充介质参数及适当的填充区域情况下,可以取得有效的减晃效果,可为实际工程提供理论参考。

Liquid sloshing has been commonly observed in many fields of engineering and the dynamic respond behavior of sloshing has a significant influence on the security and stability of the correlation structure. The scaled boundary finite element method (SBFEM) was applied for the investigation of the horizontal liquid sloshing in an cylindrical tank with the filling structure. By assuming the inviscid,irrotational and incompressible flow,the SBFEM governing equations of the velocity potential in each sub-domain can be obtained based on the variational principle. The governing equations are solved by introducing the Hankel functions as base solutions and coupling with the corresponding boundary conditions. Comparison between the results solved by SBFEM and the analytical solution in the literature is made. The results show that the proposed approach is effective and accurate for the liquid sloshing problem with quite few discretized nodes. Besides,by choosing the appropriate filling parameters and suitable filling areas can mitigate sloshing effectively, and the research results of this study can provide reference and theoretical basis to practical engineering.