中文摘要：

针对隔振结构-弹性基础耦合结构向外声辐射问题,采用刚体理论及改进的傅里叶级数方法建立以任意边界弹性板为基础的双层隔振耦合结构数学模型。采用瑞利-里兹方法得到整个耦合结构的强迫振动响应,继而通过提取表面振速分布计算基础弹性板向外的辐射声功率。根据隔振结构的布置情况,以隔振器安装点的振动作为表征,探讨了耦合结构振动模态与基础板声辐射模态之间的耦合对应关系。最后计算并分析了基础边界条件对基础板向外辐射声功率的影响。

英文摘要：

The mathematical model of a double-stage vibration isolation system mounting on a flexible plate was established from the viewpoint of energy in this paper.The masses of double-stage vibration isolation system were regarded as rigid bodies whereas the flexible base plate was described using a modified Fourier series expansion which permits arbitrary boundary conditions.By using Rayleigh-Ritz method,the forced responses of the coupled structure could be obtained and the sound radiation power from the base plate could be evaluated employing Rayleigh integral.Furthermore,the coupling between vibration modes of the coupling structure and sound radiation modes of the plate was discussed.In addition,the influence of boundary conditions upon sound radiation was analyzed.