轴对称壳体结构声散射高效计算方法

Research on efficient calculation method of acoustic scattering of axisymmetric shell structures

本文基于轴对称结构在非轴对称激励情况下的变分理论,在有限元仿真软件中构建了旋转柱壳结构的二维声散射特性分析模型,将三维空间问题转变为二维平面问题,提高了计算效率。首先计算带帽圆柱壳的声散射并与文献中三维模型计算结果进行对比,结果拟合较好,说明本文二维轴对称有限元法的准确性与适用性;随后基于本方法研究水下周期加筋圆柱壳声散射特性(包括单壳体与双壳体两种形式),并通过与三维模型进行计算效率的对比分析,阐明该方法的高效性。

Based on the variational theory of axisymmetric structures under non-axisymmetric excitations,a two-dimensional sound scattering characteristic analysis model of a rotating cylindrical shell structure is constructed in the finite element simulation software,which transforms three-dimensional spatial problems into two-dimensional planar problem and improves calculation efficiency.In this paper,the acoustic scattering of a capped cylindrical shell is first calculated and compared with the calculation results of the three-dimensional model in the literature.The results fit well,which illustrates the accuracy and applicability of the two-dimensional axisymmetric finite element method in this paper.Then,based on this method,the acoustic scattering characteristics of the underwater periodic stiffened cylindrical shell(including single shell and double shell structures)are studied,and the efficiency of the method is illustrated by comparing and analyzing the calculation efficiency with the three-dimensional models.