New algorithm applied to vibration equations of time-varying system

被引:3
|
作者
Chen Rui-lin [1 ,2 ]
Zeng Qing-yuan [1 ]
Zhang Jun-yan [2 ]
机构
[1] Cent S Univ, Sch Architectural & Civil Engn, Changsha 410075, Hunan, Peoples R China
[2] Xiangtan Univ, Coll Civil Engn & Mech, Xiangtan 411105, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
time-varying system; vibration analysis; precise integration algorithm;
D O I
10.1007/s11771-008-0314-2
中图分类号
TF [冶金工业];
学科分类号
0806 ;
摘要
Vibration equations of time-varying system are transformed to the form which is suitable to precise integration algorithm. Precision analysis and computation efficiency of new algorithm are implemented. The following conclusions can be got. Choosing matrixes M, G and K is certainly flexible. We can place left side of nonlinear terms of vibration equations of time-varying system into right side of equations in precise integration algorithms. The key of transformation from vibration equations of time-varying system to first order differential equations is to form matrix H, which should be assured to be nonsingular. With suitable disposal, precision and computation efficiency of precise integration algorithms are greatly larger than those of general methods.
引用
收藏
页码:57 / 60
页数:4
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