摘要
为了精确快速地获取考虑声振耦合作用结构的声辐射特性参数,根据波叠加原理和有限单元法提出了一种水中结构的声辐射特性的高效计算方法。首先,利用波叠加原理和单元体积速度匹配原则,将结构运动方程中的声压项表示为形函数与等效源函数的乘积,再根据耦合界面连续性条件,建立了等效源强与结构位移的关系表达式,从而计算等效源强度,确定声压振速等声学参数;然后,以置于水中的矩形板为案例,在未知振速情况下计算声功率,并与解析方法计算结果进行对比,说明等效源法的有效性,讨论了对等效源数目的敏感性。结果表明:该方法计算精度较高,在研究低频声辐射特性方面具有较大优势;与有限元法相比,该方法只需要离散结构表面单元,不需要离散流体域,减少了计算量;与边界元法相比,该方法不需要处理声场的奇异性问题,提高了计算效率。
It is of great academic and engineering significance to accurately and quickly obtain the acoustic radiation characteristic parameters of the structures considering acoustic vibration coupling.Based on the wave superposition principle and the finite element method,an efficient calculation method for acoustic radiation characteristics of underwater structures was developed.According to the principle of wave superposition and volume-velocity matching,the sound pressure term in structural motion equation was expressed as the product of shape function and virtual sound source and function.Based on the compatibility condition of the coupling interface,the coupling equation between equivalent source strength and structural displacement was established,and then the equivalent source strength was solved to determine the vibro-acoustic coupling characteristic parameters.Taking a rectangular plate in water as an example,the acoustic power was calculated under the condition of unknown vibration velocity,and the results were compared with those obtained by analytical method.The effectiveness of the equivalent source method was illustrated,and the sensitivity to the number of equivalent sources was discussed.The results show that this method boasts high accuracy and great advantages in calculating low frequency acoustic radiation characteristics.Compared with finite element method,it only requires discrete surface elements and does not need discrete fluid domain,which can reduce the computational complexity.Also,compared with the boundary element method,it does not require dealing with the singularity of the acoustic field and thus improves the computational efficiency.
作者
刘洋
刘宝
王蕾
LIU Yang;LIU Bao;WANG Lei(Office of Acadmeic Affairs,Naval Univ.of Engineering,Wuhan 430033,China;College of Electronic Engineering,Naval Univ.of Engineering,Wuhan 430033,China;College of Weaponry Engineering,Naval Univ.of Engineering,Wuhan 430033,China)
出处
《海军工程大学学报》
CAS
北大核心
2021年第1期34-40,共7页
Journal of Naval University of Engineering
基金
国家自然科学基金资助项目(11602300)
海军工程大学科研发展基金资助项目(425317S039)。
关键词
等效源法
有限单元法
声振耦合
单元体积速度匹配法则
equivalent source method
FEM
vibro-acoustic coupling
volume-velocity matching principle
