有限浸没深度无限长圆柱壳辐射声场波动特性  

The Wave Characteristics of the Acoustic Radiation from Cylindrical Shells Within Finite Depth from the Free Surface

作　　者：李天匀[1] 江丰[1] 叶文兵[1] 朱翔[1] 

机构地区：[1]华中科技大学船舶与海洋工程学院,湖北武汉430074

出　　处：《中国舰船研究》2013年第1期73-79,共7页Chinese Journal of Ship Research

基　　金：国家自然科学基金资助项目(40976058);高等学校博士学科点专项科研基金(20120142110051)

摘　　要：研究水下圆柱壳声辐射问题时常常将流体声介质假设为无限域,而在实际工程中流体为存在自由液面的有限域。针对此假设的不足,基于Flügge薄壳振动方程和Helmholtz方程,利用镜像法和汉克尔函数的加法定理建立自由液面以下有限浸没深度处圆柱壳结构与声场的耦合振动方程,研究辐射声场中辐射声压随浸没深度的波动特性。研究表明,不同频率下远场辐射声压随浸没深度的变化曲线上,波峰之间的距离为流体声波波长的1/2。研究结论可为实际工程应用提供理论基础。While studying the underwater acoustic radiation from cylindrical shells, the fluid is often assumed to be infinite. However, the free surface of the fluid always exists in real practices. Aiming at this flaw in the assumption, the structure-acoustical coupling equation of a cylindrical shell submerged in the fluid with finite depth is established by applying the image method and the addition theorem of the Hankel function, based on the Fltigge equation and the Helmholtz equation. The fluctuation characteristics of the sound pressure at a certain observation point versus the depth are investigated, and it is found that the dis- tance between the two adjacent peaks in the obtained curve equals half of the acoustic wavelength in the fluid. These findings may provide a theoretical basis for practical engineering applications.

关 键 词：自由液面 圆柱壳 远场辐射声压 镜像法 加法定理 

分 类 号：U661.44[交通运输工程—船舶及航道工程]