Abstract
Wave Propagation Technique and Cyclic Symmetry Method are very useful for analyzing vibration of periodically symmetric structures consisting of columns with hollow centers. However, these two methods are not applicable to periodically symmetric structures consisting of columns with solid centers, because the solid center connects all the substructures to form a total system. As a result of improving these two methods, a new analytical method is proposed in this paper. Using the proposed method, the vibration characteristics of a total system can be predicted simply by analyzing one fundamantal substructure which is separated from the total system regardless of whether the center of a periodically symmetric structure is solid or hollow. The application of this method to specific structures, and the accuracy and efficiency of the method are discussed in detail.
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