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论文类型：期刊论文

发表时间：2001-12-01

发表刊物：AIAA JOURNAL

收录刊物：Scopus、SCIE、EI

卷号：39

期号：12

页面范围：2394-2399

ISSN号：0001-1452

摘要：The precise time-integration method proposed for a linear time-invariant dynamic system can give precise numerical results approaching the exact solution at the integration points. However, difficulties arise when the algorithm is used for nonhomogeneous dynamic systems due to the inverse matrix calculation required. A new algorithm is proposed to convert nonhomogeneous dynamic equations into homogeneous equations by means of the dimensional expanding method. With this conversion, the inverse matrix calculation is not required in the precise time-integration method. The new algorithm has enhanced the precise time-integration method by benefiting the programming implementation and the numerical stability; it has improved the computational efficiency as well. Numerical examples are given to demonstrate the validity and efficiency of the algorithm.