An improved continued fraction solution algorithm for dynamic stiffness of bounded domain
GAO Yichao1,LIU Hao2,TANG Xinwei3
1.College of Civil Engineering, Huaqiao University, Xiamen 361021, China;
2.Hydrochina Zhongnan Engineering Corporation, Changsha 410014, China;
3.School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 540641, China
The scaled boundary finite element method is an ideal method for dynamic analyses of structures. It requires the only discretization of the boundary, which leads to flexible mesh generation and easy employment of high-order elements. Based on the generalized eigenvalue decomposition, the scaled boundary finite element equation in dynamic stiffness for bounded domain dynamic problem was transformed. Choosing a specific factor matrix, a new improved continued fraction solution algorithm with simplified solution procedure was proposed. Introducing the auxiliary variables, the motion equation with sparse and symmetric coefficient matrices for bounded domain was established. It can be solved using the existing finite element solver. Numerical examples including a regular octagon plate and a gravity dam were analyzed. Good numerical stability and computational accuracy of the new algorithm are demonstrated; this algorithm is suitable for dynamic response analyses of realistic engineering problems.
高毅超1，刘昊2，唐欣薇3. 一种新的有限域动力刚度改进连分式求解算法[J]. 振动与冲击, 2020, 39(12): 164-169.
GAO Yichao1,LIU Hao2,TANG Xinwei3. An improved continued fraction solution algorithm for dynamic stiffness of bounded domain. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(12): 164-169.
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