模态综合的交叉子结构方法

Cross Substructural Method for Modal Synthesis

提出了一种称作“交叉综合法”的模态综合模型。在这种模型中 ,子结构的划分是彼此交叉重合的。在模态综合时 ,没有界面模式 ,全部以子结构的截尾模态构造基函数 ,以能量最小作为子结构的连接条件 ,用 Rayleigh-Ritz法进行综合。由于全部采用了模态函数 ,可望达到较好的综合效果。本方法进行了几个例子的考证 。

In this paper a modal synthesis method named 'Cross Modal Synthesis' is proposed. In this model the substructures can share the same parts of the structure. The modal synthesis is carried out by Rayleigh Ritz principle. But all the basic functions are constructed by truncated modal functions of substructures and there are no interface modes. The connected condition of the substructures is formed by the minimum energy. As eigenfunctions are used only, a more effective synthesis result may be expected. Some examples are examined and this model has been applied for the modal analysis of a complex hydraulic structure.