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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 vibration and sound radiation model of submerged composite rectangular plate under mechanical excitation was established by Hamilton principle and the dynamic equation was solved by Rayleigh-Leitz method. The displacement field of the sandwich plate was described by discrete layer theory. Reduce the dimension of the system motion equation, and use the approximate processing method to make the displacement components can be expressed by the lateral displacement.When calculating the surface acoustic impedance, a fast calculation method based on one-point integral is given.Compared with the finite element method The results of software ANSYS are consistent, and the correctness of the algorithm is proved.Finally, the influence of core layer geometry and material parameters on acoustic radiation is analyzed, and the reasonable setting of core thickness and elastic modulus according to specific working conditions can be effectively reduced Radiated noise, can be used for passive control of structural noise.