中文摘要：

该文研究带有环形弹性隔板的部分充液刚性圆柱罐中液体与隔板的耦合振动特性。将液体域分割成两个圆柱子域和两个圆环柱子域，利用分离变量法和叠加原理求得各子域内液体运动势函数的解。将环形薄板的湿模态用干模态展开以求解环形薄板与液体耦合振动的微分方程。对液体子域间的界面连续条件作Fourier展开并对表面波方程作Bessel展开，得到环形薄板与液体耦合振动的频率和对应模态。数值结果与流．固耦合专用软件ADINA的结果进行了比较，显示出很好的一致性。

英文摘要：

The coupled vibration characteristics of liquid and a flexural annular baffle in a cylindrical rigid tank were studied. The complicated fluid domain is separated into four simple sub-domains composed of two circular columns and two annular columns, respectively. The velocity potential functions corresponding to every fluid sub-domain were analytically solved by using the separation variable method and the decomposition method. The dry-modal functions were used to expand the wet modes in order to solve the differential equation of coupled vibration of the baffle and liquid. Based on the consistent conditions of liquid movement between the sub-domain interfaces and the surface wave equation of fluid, the unknown coefficients in the solutions were determined by using the Fourier series expansions and the Bessel series expansions. Finally, the eigenvalue equation was obtained. The coupled frequencies were numerically calculated by using the searching root method for non-linear equations. The convergence study shows high accuracy of the present method. The numerical results were compared with those obtained from the ADINA finite element software.An excellent agreement has been achieved.