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有限浸深圆柱壳振动及远场声辐射的解析方法

郭文杰 李天匀 朱翔 张帅

郭文杰, 李天匀, 朱翔, 张帅. 有限浸深圆柱壳振动及远场声辐射的解析方法[J]. 中国舰船研究, 2017, 12(4): 62-70. doi: 10.3969/j.issn.1673-3185.2017.04.010
引用本文: 郭文杰, 李天匀, 朱翔, 张帅. 有限浸深圆柱壳振动及远场声辐射的解析方法[J]. 中国舰船研究, 2017, 12(4): 62-70. doi: 10.3969/j.issn.1673-3185.2017.04.010
Wenjie GUO, Tianyun LI, Xiang ZHU, Shuai ZHANG. Analytical research of vibration and far-field acoustic radiation of cylindrical shell immersed at finite depth[J]. Chinese Journal of Ship Research, 2017, 12(4): 62-70. doi: 10.3969/j.issn.1673-3185.2017.04.010
Citation: Wenjie GUO, Tianyun LI, Xiang ZHU, Shuai ZHANG. Analytical research of vibration and far-field acoustic radiation of cylindrical shell immersed at finite depth[J]. Chinese Journal of Ship Research, 2017, 12(4): 62-70. doi: 10.3969/j.issn.1673-3185.2017.04.010

有限浸深圆柱壳振动及远场声辐射的解析方法

doi: 10.3969/j.issn.1673-3185.2017.04.010
基金项目: 

国家自然科学基金资助项目 51379083

国家自然科学基金资助项目 51479079

国家自然科学基金资助项目 51579109

详细信息
    作者简介:

    郭文杰, 男, 1991年生, 博士生。研究方向:船舶结构减振降噪。E-mail:739633869@qq.com

    通信作者:

    李天匀(通信作者), 男, 1969年生, 博士, 教授, 博士生导师

  • 中图分类号: U661.44

Analytical research of vibration and far-field acoustic radiation of cylindrical shell immersed at finite depth

知识共享许可协议
有限浸深圆柱壳振动及远场声辐射的解析方法郭文杰,等创作,采用知识共享署名4.0国际许可协议进行许可。
  • 摘要:   目的  针对目前对于自由液面影响下圆柱壳—流场耦合系统振动及声辐射解析研究的匮乏,提出一种有限浸没深度下有限长圆柱壳振动及远场声辐射的解析求解方法。  方法  采用镜像原理和Graf加法定理得到流体速度势的解析表达式,然后再结合能量泛函变分方法推导出计及自由液面影响的壳—液耦合振动方程,从而可以求解系统受迫振动响应。  结果  研究表明,相比于无限域,自由液面的存在会增大同阶次共振频率,但随着浸没深度的逐渐增加,均方振速很快趋于无限域工况。与Nastran软件计算结果对比表明所提出的方法准确、可靠,且具有方法简便、计算量小的优点。利用求得的振动响应,通过傅里叶变换和稳相法可得到远场辐射声压,计算结果表明,自由液面会使得远场声压指向性和波动性出现类偶极子效应;但是不同于振动特性,远场声压并不会随浸没深度增大而很快趋于无限域工况。  结论  所提出的方法实现了外力激励下计及自由液面影响的水下圆柱壳远场声辐射快速预报,对于半空间结构声振问题的研究具有一定的指导意义。
  • 图  1  模型及坐标系

    Figure  1.  Model and coordinate system

    图  2  镜像原理示意图

    Figure  2.  Schematic diagram of image method

    图  3  径向均方振速收敛性分析

    Figure  3.  The convergence curves of the quadratic velocity

    图  4  本文方法和数值仿真径向位移级对比

    Figure  4.  Comparison of the radial displacement levels between the present method and the numerical simulation

    图  5  不同浸没深度下径向均方振速频谱

    Figure  5.  The quadratic radial velocity versus frequency at different submerged depth

    图  6  稳相法和边界元法声压级对比图

    Figure  6.  Comparison of sound pressure level(SPL)between the stationary phase method and the boundary element method

    图  7  远场声压级随浸没深度变化曲线

    Figure  7.  The curve of far-field sound pressure level with different immersion depth

    表  1  不同观测点远场声压峰峰值及偶极子计算值对

    Table  1.   peak-to-peak values of far field SPL and calculated values of dipole at different observation points

    φ=π/6 φ=π/4
    D/m D0/m D/m D0/m
    θ=π/6 3.40 3.46 4.15 4.24
    θ=π/4 2.39 2.45 2.94 3.00
    下载: 导出CSV
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出版历程
  • 收稿日期:  2017-02-28
  • 网络出版日期:  2017-07-27
  • 刊出日期:  2017-08-04

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