一种含内部结构的水下圆柱壳振动声辐射计算方法  

A method for vibration and sound radiation analysis of an immersed cylindrical shell with internal structures

作　　者：张磊[1] 马逊军 鲁民月[1] 汪利[1] ZHANG Lei;MA Xun-jun;LU Min-yue;WANG Li(Wuhan Second Ship Design and Research,Wuhan 430064,China)

机构地区：[1]武汉第二船舶设计研究所,湖北武汉430064

出　　处：《舰船科学技术》2021年第12期122-127,共6页Ship Science and Technology

摘　　要：为解决含内部结构的水下圆柱壳振动声辐射快速预报问题,提出一种解析-数值混合方法。将整个结构分为水下圆柱壳和内部结构两部分,采用轴对称边界元法得到圆柱壳表面声阻抗,结合Flügge壳体理论,建立水下圆柱壳的数理模型;采用有限元法建立内部结构的动力学模型。根据圆柱壳与内部结构接触点的位移协调和内力平衡条件,建立整个结构的动力学方程,求解方程得到壳体表面振动速度,再采用边界元法得到声场中任意一点的辐射声压。通过与数值软件计算结果对比,验证了本文方法的正确性。本文方法在改变内部结构进行多方案对比分析时具有显著的计算速度优势。In present paper, a hybrid analytical-numerical approach is adopted to investigate vibration and acoustic radiation characteristics of a submerged cylindrical shell coupled with interior structures. The entire structure is divided into a fluid-loaded cylindrical shell and interior structures. Flügge shell equations and Helmholtz equation in the cylindrical coordinate system are adopted to describe the shell and surrounding fluid, respectively. Interior structures are modelled through finite element method(FEM). By utilizing the continuity conditions between the shell and internal structures, the final governing equations are established. Once vibration responses of the structure are determined, acoustic radiation from the cylindrical shell can be computed through the boundary element method(BEM). The validity of present method is demonstrated by comparing the results with those obtained from the coupled finite element/boundary element method. Present method is highly efficient and has significant advantages in the comparative analysis of multiple schemes.

关 键 词：圆柱壳 解析/数值混合法 声辐射 

分 类 号：TB123[理学—工程力学]