A fast precise integration method for structural dynamics problems

A fast precise integration method for structural dynamics problems
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结构动力学问题的快速精确积分方法

DOI:
10.12989/sem.2012.43.1.001
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发表时间:
2012-07
影响因子:
2.2
通讯作者:
Williams, F. W.
Williams, F. W.
中科院分区:
工程技术4区
文献类型:
--
作者:
Gao, Q.;Wu, F.;Zhang, H. W.;Zhong, W. X.;Howson, W. P.;Williams, F. W.

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提出了一种求解结构动力学问题的快速精细积分法。它是基于原来的精细积分法(PIM),利用稀疏性质的系统矩阵,特别是在结构动力学问题中发现的物理特征。给出了矩阵指数的物理解释,这导致了一个有效的算法,其评估和随后的大规模结构动力学问题的解决方案。所提出的算法是准确的,高效的,需要更少的计算机存储比以前的技术。
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.
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