A parameter to improve stability for a family of dissipative integration methods

被引：3

作者：

Chang, Shuenn-Yih ^{[1
]}

Ngoc-Cuong Tran ^{[1
]}

Wu, Tsui-Huang ^{[1
]}

机构：

[1] Natl Taipei Univ Technol, Dept Civil Engn, Taipei, Taiwan

来源：

JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS | 2016年 / 39卷 / 06期

关键词：

Unconditional stability; numerical dissipation; explicit formulation; time integration method; IMPROVED NUMERICAL DISSIPATION; STRUCTURAL DYNAMICS; UNCONDITIONAL STABILITY; EXPLICIT METHOD; ALGORITHMS;

D O I：

10.1080/02533839.2016.1176872

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

There is a family of integration methods which has unconditional stability for linear elastic and stiffness softening-type systems; however, it becomes conditionally stable for stiffness hardening-type systems. Consequently, its applications are inconvenient or limited due to the conditional stability in stiffness hardening-type systems. This drawback can be overcome by introducing a free parameter into its formulation. The numerical properties of this family method are almost unaffected by this free parameter except that the stability property is improved. Thus, the method's unconditional stability is successfully extended into stiffness hardening-type systems in addition to linear elastic and stiffness softening-type systems.

引用

页码：686 / 694

页数：9

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