中文摘要：

首先应用谱元法（SEM）建立简支加筋双层板结构在简谐平面声波激励下的振动响应分析模型,将所得结果与有限元法（FEM）计算结果对比,表明谱元法（SEM）在求解该类问题时具有精度高和求解速度快的优点。然后应用Rayleigh积分求解加筋双层板结构路径传声的透射声功率。在筋板截面面积不变的约束条件下,研究筋板倾角与面板间距在声波正入射情况下对透射侧面板辐射声功率的影响。结果表明：筋板倾角越大,加筋双层板的透射声功率越小;在倾角小于22o的情况下,隔声性能随着面板间距的减小而提高。分析结果对加筋双层板的结构设计与隔声优化具有一定的指导意义。

英文摘要：

A theoretical study on the vibration response of sandwich plates with typical corrugated cores under incident plane sound wave excitation was done by using spectral element method（SEM）. Accuracy and efficiency of the SEM were validated by comparing the results with those of FEM. The transmission sound power through the sandwich plates under the normal incidence of the plane sound wave was calculated by applying Rayleigh integral. The effects of the distance between the two faceplates and the inclination angle of the stiffening core on the transmission acoustic power were studied under the condition of constant cross sectional area of the whole structure. It is shown that the transmission sound power of the reinforced sandwich plate decreases as the inclination angle of the corrugated core increases. When the inclination angle of the core is less than 22 o, the transmission sound power reduces with the decrease of the distance between the two faceplates.These results are meaningful to the structural design and vibro-acoustic optimization of sandwich plates with corrugated cores.