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求解水下纵向加肋无限长非圆柱壳声辐射问题的一种新的半解析方法
引用本文:黄玉盈,向宇,苏海东.求解水下纵向加肋无限长非圆柱壳声辐射问题的一种新的半解析方法[J].固体力学学报,2005,26(1):1-10.
作者姓名:黄玉盈  向宇  苏海东
作者单位:1. 华中科技大学土木工程与力学学院,武汉,430074
2. 华中科技大学土木工程与力学学院,武汉,430074;广西工学院汽车工程系,柳州,545006
基金项目:国家自然科学基金 (10 172 0 3 8),广西自然科学基金 (桂科自 0 3 3 90 19)资助 .
摘    要:基于齐次扩容精细积分法和复数矢径虚拟边界谱方法,利用Fourier积分变换和稳相法,提出了一种具有较高效率和精度的新的求解水下纵向加肋无限长非圆柱壳声辐射问题的半解析方法.考虑了非圆柱壳和肋骨之间同时存在多种相互作用力和力偶矩,较已往很多学者仅计及法向相互作用力更加符合实际.不仅比较了该文方法和精确解计算纵向加肋圆柱壳在集中点力激励下的声辐射计算结果,同时还研究了肋骨数量、大小以及椭圆柱壳横截面椭圆度对声辐射特性的影响.数值计算结果表明该文方法较已有的混合FE-BE法更为有效.

关 键 词:声辐射  圆柱壳  求解  相互作用力  精确解  谱方法  力偶  肋骨  纵向  问题

A NOVEL SEMI-ANALYTICAL METHOD FOR SOLVING ACOUSTIC RADIATION FROM LONGITUDINALLY STIFFENED INFINITE NON-CIRCULAR CALINDRICAL SHELLS IN WATER
Huang Yuying,XIANG Yu,Su Haidong.A NOVEL SEMI-ANALYTICAL METHOD FOR SOLVING ACOUSTIC RADIATION FROM LONGITUDINALLY STIFFENED INFINITE NON-CIRCULAR CALINDRICAL SHELLS IN WATER[J].Acta Mechnica Solida Sinica,2005,26(1):1-10.
Authors:Huang Yuying  XIANG Yu  Su Haidong
Institution:Huang Yuying 1 Xiang Yu 1,2 Su Haidong 1
Abstract:Based on the extended homogeneous capacity high precision integration method and the spectrum method of virtual boundary with complex radius vector, a novel semi analytical method, which has satisfactory computation effectiveness and precision, is presented for solving the acoustic radiation from a submerged infinite non circular cylindrical shell stiffened by longitudinal ribs by means of the Fourier integral transformation and stationary phase method. Besides the normal interacted force, that is commonly adopted in literature, the other interacted forces and moments between the longitudinal ribs and the non circular cylindrical shell are considered at the same time. Effects of the number of longitudinal ribs and their crosss section size on the characteristics of acoustic radiation are investigated. Numerical results show that the proposed method is more efficient than the existing mixed FE BE method.
Keywords:sound-structure interaction  stiffened non  circular cylindrical shell  vibration and acoustic radiation  semi  analytical method  transfer matrix method
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