中文摘要：

从矩形薄板的振动特性出发,提出了一种改进的弯曲振动矩形板.因该板在自由边界下无解析解,作者应用有限元法,将自由边界弯曲振动辐射面进行离散、提取模态参数并进行处理.结合瑞利积分编制程序,求出了自由边界矩形板条纹振动模式的辐射声压及指向性,并与改进前的矩形薄板的指向性做了对比.结果表明,改进后的矩形薄板轴线方向上的指向性比改进前的明显尖锐.这对矩形板作为弯曲振动辐射源的应用提供了一定的依据.

英文摘要：

An improved flexural vibration rectangular plate is proposed on the base of vibrational characteristics of rectangular plate.There is no analytical solution for rectangular plate with free boundary conditions.Finite element method is utilized to perform a discrete solution,to extract modal data and to deal with it for the radiating surface of rectangular plate.The radiated sound pressure and the directivity pattern of rectangular thin plate with stripe vibration are obtained by Rayleigh integration,which is compared with the directivity pattern of unimproved rectangular thin plate before.Some results can be got that improved flexural vibrating plate＇s directivity pattern is sharper than the unimproved in the axis.This work provides the theoretical foundation for application of this kind of flexural vibrator.