An efficient algorithm based on group theory and the Woodbury formula for the dynamic responses of periodic structures

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• 作者：X.Q. Liang ^{liangxq@mail.dlut.edu.cn} ; Q. Gao ; ^{qgao@dlut.edu.cn} ; W.A. Yao ^{ywa@dlut.edu.cn}
• 关键词：Periodic structures ; Woodbury formula ; Group theory ; Newmark method ; Dynamic responses
• 刊名：Computers & Structures
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：182
• 期：Complete
• 页码：238-251
• 全文大小：1654 K
• 卷排序：182

文摘

An algorithm is proposed for the dynamic responses of periodic structures. Using Woodbury formula, the periodic structure is converted into a cycle structure. The cycle structure is decoupled into independent substructures with group theory. The algorithm is highly efficient and memory saving.