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求解平板结构声辐射特性的虚拟面声源方法

Virtual surface source method for solving the sound radiation characteristics of flat plate structures

  • 摘要: 针对虚拟点源法声场计算时精度不高的问题,提出一种求解平板结构声辐射特性的虚拟面源方法。根据平板的边界条件,采用模态展开法等确定结构的表面振速,基于波叠加原理将平板辐射的声场等效成平板一侧空间中连续分布虚拟面源辐射声场的叠加,并采用插值形函数对虚拟面源进行离散。在此基础上,根据欧拉定理,构建关于面声源节点与结构表面振速之间的关系方程,从而确定虚拟面声源强度,以此计算声辐射特性参数。以水中无限大障板上简支矩形板为例,将所提方法计算结果与常规虚拟点源法计算结果进行比较,并讨论声学参量对虚拟面声源数的敏感性。结果表明,所提方法相对传统虚拟点声源方法计算精度更高,且在低频段仅需较少的等效源数即可准确预报结构的辐射声功率。

     

    Abstract: A virtual surface source method is proposed to solve the problem of low accuray in the calculation of the sound field using the virtual point source method. Based on the boundary conditions of the flat plate, the surface vibration velocity of the structure is determined using modal expansion method. Based on the principle of wave superposition, the sound field radiated by the flat plate is equivalent to the superposition of the continuous distributed virtual surface source radiation sound field in the space on one side of the flat plate, and the virtual surface source is discretized using interpolation shape function. On this basis, according to Euler's theorem, a relationship equation between the surface acoustic source node and the structural surface vibration velocity is constructed to determine the virtual surface acoustic source intensity and calculate the acoustic radiation characteristic parameters. Taking a simply supported rectangular plate on an infinitely large baffle in water as an example, the calculation results of the proposed method are compared with those of the conventional virtual point source method, and the sensitivity of acoustic parameters to the number of virtual surface sound sources is discussed. The results indicate that the proposed method has higher computational accuracy compared to traditional virtual point sound source methods, and can accurately predict the radiated sound power of structures with fewer equivalent sources at the low frequenciy band.

     

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