薄板动力分析的双向有限条法

本文采用双向有限条将板划分成两组方向互相垂直的板条，采用满足边界条件的 梁函数组成相应节线的坐标函数，使节线的交点满足变位协调条件．在两组节线分割 成的各矩形域，由康斯曲面插值确定一点的变位，然后用瑞里－李兹法求解了板的动 力问题，并在ＩＢＭ上编制了相应的程序，若干算例表明这种算法比较准确、简便．

The Bi-Directional Finite Strip Method for the Dynamic Analysis of Thin Plates

The Bi-directional Finite Strip Method is presented, in which a plate is di- vided into two groups of finite strips perpendicular to each other, with beam functions being adopted to form the coordinate functions of corresponding divid- ing lines, and the coincidence of displacement is required at junctions of every two dividing lines, while the deflection at any point within a rectangular region which results from the dividing strip process is determined by Coons' curved surface interpolation method before the application of Rayleigh-Ritz's Method to the dynamical analysis of plates. The corresponding program has been worked out for IBM Computer, and the advantage of the accuracy and simplicity of the method is shown clearly in some numerical experiments.