基于Riccati传递矩阵法分析水下有限长环肋圆柱壳的声辐射性能

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (9) : 149-154.

论文

基于Riccati传递矩阵法分析水下有限长环肋圆柱壳的声辐射性能

曹雷马运义黄玉盈

作者信息 +

ANALYSIS OF ACOUSTIC RADIATION OF THE RING-STIFFENED CYLINDRICAL SHELL WITH FINITE LENGTH IN UNDERWATER BASED ON RICCATI TRANSFER MATRIX METHOD

CAO Lei MA Yunyi HUANG Yuyin

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摘要

采用与以往解析法和FEM/BEM不同的思路，通过运用Riccati传递矩阵法和齐次扩容精细积分法求解水下圆柱壳声振问题的一阶矩阵微分方程，提出一种新的半解析半数值法分析有限长环肋圆柱壳的声振问题。声压解析表达式由满足Helmholtz方程的基本解的线性组合表示；利用液固交界面的法向速度协调条件以及在壳体母线上配点，从而将结构的声振耦合方程转化为求解声压系数的线性代数方程组，实现了对环肋圆柱壳声振问题的求解。数值算例研究了几个重要计算参数对精度的影响；另外通过结果比较表明了该方法的有效性。该方法可以进一步推广到求解有限长环肋圆锥壳以及环肋锥壳组合壳的声振问题。

Abstract

Based on the Riccati transfer matrix method and high precision intergration scheme combined with the extended homogeneous capacity technique, a new semi-analytical and semi-numerical method is presented for analyzing the vibro-acoustic interaction problems of ring-stiffened circular shells with finite length in underwater by solving a set of first order differential equations. This method is different from previous analytical method and FE-BE method. An analytical expression of the acoustic pressure is derived by linear combination of the basic functions which satisfies the Helmholtz equation. The vibro-acoustic interaction problem can be transferred into solving a linear algebraic equations in all acoustic pressure coefficients by matching points along the generating line of the shell by means of the continuity conditions of the normal velocity on the interface between the acoustic field and shell. The obtained numerical results show this method is efficient. It can also be extended to analyze the vibro-acoustic interaction problems of ring-stiffened conical shells and jointed conical-cylindrical shells with finite length.

导出引用

曹雷马运义黄玉盈 . 基于Riccati传递矩阵法分析水下有限长环肋圆柱壳的声辐射性能[J]. 振动与冲击, 2009, 28(9): 149-154

CAO Lei MA Yunyi HUANG Yuyin. ANALYSIS OF ACOUSTIC RADIATION OF THE RING-STIFFENED CYLINDRICAL SHELL WITH FINITE LENGTH IN UNDERWATER BASED ON RICCATI TRANSFER MATRIX METHOD[J]. Journal of Vibration and Shock, 2009, 28(9): 149-154