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Structural Engineering and Mechanics Volume 43, Number 1, July10 2012 , pages 1-13 DOI: https://doi.org/10.12989/sem.2012.43.1.001 |
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A fast precise integration method for structural dynamics problems |
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Q. Gao, F. Wu, H.W. Zhang, W.X. Zhong, W.P. Howson and F.W. Williams
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Abstract | ||
A fast precise integration method (FPIM) is proposed for solving structural dynamics problems. It is based on the original precise integration method (PIM) that utilizes the sparse nature of the system matrices and especially the physical features found in structural dynamics problems. A physical interpretation of the matrix exponential is given, which leads to an efficient algorithm for both its evaluation and subsequently the solution of large-scale structural dynamics problems. The proposed algorithm is accurate, efficient and requires less computer storage than previous techniques. | ||
Key Words | ||
structural dynamics system; sparse matrix; precise integration method; matrix exponential; fast algorithm | ||
Address | ||
Q. Gao, F. Wu, H.W. Zhang, W.X. Zhong: State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, P.R. China Howson and F.W. Williams: Cardiff School of Engineering, Cardiff University, Cardiff CF24 3AA, UK | ||