子结构Ritz向量综合法

Ritz Vectors Synthesis Technique for Substructuring

讨论了在动态子结构法中应用静态Ｒｉｔｚ向量替代模态向量时所应考虑的基本问题，即如何合理地定义荷载空间分布向量｛ｆ（ｓ）｝，以避免在子结构中出现低阶模态不连续分布的情况。文中给出了在自由子结构和约束子结构内进行Ｒｉｔｚ变换的一般形式及修正公式。

The basic problem of how to define the spatial load distribution vector is discussed, when the static Ritz vectors are applied to instead of the modal vectors in substructures. A new definition for the spatial load distribution vector is suggested to avoid the loss of some lower substructural modes if the WYD algorithm is directly used in the modal analysis. The transformation coordinates for the fixed interface and free interface substructures are introduced using the static Ritz vectors as a substitute for the natural modes of the substructures. The result of a numerical example demonstrates the efficiency of accuracy. the new method developed in this paper.