Precise time-integration method with dimensional expanding for structural dynamic equations

被引：56
|
作者：
Gu, YX [1 ]
Chen, BS [1 ]
Zhang, HW [1 ]
Guan, ZQ [1 ]
机构：
[1] Dalian Univ Technol, Dept Mech Engn, State Key Lab Struct Anal Ind Equipment, Dalian 116024, Peoples R China
来源：
AIAA JOURNAL | 2001年 / 39卷 / 12期
关键词：
D O I：
10.2514/2.1248
中图分类号：
V [航空、航天];
学科分类号：
08 ; 0825 ;
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.
引用
收藏
页码：2394 / 2399
页数：6
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