计算循环对称结构振动特性的新方法

利用循环对称结构的循环对称性，通过扇区结点循环对称条件和结点位移复约束条件，解除结构特征方程中各个扇区之间的耦合关系；选取结构的任一个循环对称扇区作为有限元计算模型，建立单个扇区复约束特征值方程；通过对单个扇区的计算，获得完整结构的振动特性。算例表明了本文方法的正确性和精确性，并可极大地减少计算所需机器内存和机时

A New Method for Calculating the Vibration Characteristics of the Cyclic Symmetric Structures

Based on the structural cyclic symmetric property of the cyclic symmetric structures, the eigenvalue equations of the whole structure is uncoupled with the cyclic symmetric conditions of node points of the sectors and the complex constrained conditions of the displacements of the node points. The presented method selects only one cyclic symmetric sector of the structure as the finite element calculating model and establishes the complex constrained eigenvalue equation of the sector. The vibration characteristics of the whole structure can be obtained by calculating the single sector. The examples show that the method is correct and accuracy, and saves the computer memory and the CPU time considerably.