复合夹层板声辐射快速数值计算

Fast numerical calculation for sound radiation of composite sandwich plate

采用哈密顿原理建立了水下复合夹层矩形板在机械激励作用下的振动与声辐射模型,并通过瑞利-里兹法求解动力学方程,夹层板的位移场用离散层理论进行描述,为了减少系统运动方程的维数,利用近似处理方法使得各位移分量均可用横向位移来表示.计算板表面声辐射阻抗时,给出了一种基于一重积分的快速计算的方法.计算结果与有限元软件ANSYS分析的结果一致,证明了算法的正确性.最后分析了夹芯板芯层几何参数与材料参数对声辐射的影响,指出根据具体工况合理设置芯层厚度和弹性模量能有效降低辐射噪声,可用于结构噪声被动控制.

The Hamilton principle was utilized for the vibration and sound radiation of underwater sandwich plate with mechanical excitation,and the obtained motion equation was solved by Rayleigh-Ritz method,the displacement field was described by the discrete layer theory.An approximation method in the reference was adopted to improve the calculation efficiency,which made other displace-ments to be expressed by the transverse displacement.While calculating the sound radiated impedance, a fast solution based on several single integrations was offered.The result was consistent with the so-lution obtained from FEM software ANSYS which proved the correctness of the algorithm.Finally, the influence of the core′s geometrical and material parameters on sound radiation was analyzed,which show that reasonable set of core thickness and Young′s modulus according to the specific condition can effectively reduce radiated noise and provide a reference for passive noise control.