变厚度圆柱蓄水池动力分析的传递矩阵法

本文用改进的传递矩阵方法分析了变厚度圆柱蓄水池的液固耦合问题,推广了T.Irie等人创立的传递矩阵法.文中导出的每一个壳元的传递矩阵能表示为一个封闭的形式,而不同以往采用的幂级数渐近形式.在建立的一阶矩阵微分方程中,虽然由于池内壁的水动压力作用出现了耦合项,但文中采用了振型迭代技术使求解中遇到的这一困难得到圆满解决.

Transfer Matrix Method on Dynamic Analysis of Circular Cylindrical Tanks with Variable Wall-Thickness

As is well known, the transfer matrix method by T. Irie et al. has proven very useful in the analyses of free vibrations of various plates and shells. The main purpose of the present study is to extend this approach to dynamic analyses of circular cylindrical tanks with fluid-structure interaction.The transfer matrix of each shell element derived is expressed by a close form rather than a powet series one given by T. Irie, therefore numerical calculations can be carried out in higher precision as compared with the transfer matrix method used before. Although the coupled term induced by the hydrodynamic pressure exerted on the internal surface of the circular cylindrical tank occurs in the matrix differential equation of the first order, the difficulty resulted from it may be overcome by a mode shape iteration technique.