A virtual parameter to improve stability properties for an integration method

被引：3

作者：

Chang, Shuenn-Yih ^{[1
]}

机构：

[1] Natl Taipei Univ Technol, Dept Civil Engn, Box 2653, Taipei 106, Taiwan

来源：

EARTHQUAKES AND STRUCTURES | 2016年 / 11卷 / 02期

关键词：

unconditional stability; conditional stability; nonlinear dynamic analysis; virtual parameter; structure-dependent integration method; IMPROVED NUMERICAL DISSIPATION; STRUCTURAL DYNAMICS;

D O I：

10.12989/eas.2016.11.2.297

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

A virtual parameter is introduced into the formulation of the previously published integration method to improve its stability properties. It seems that the numerical properties of this integration method are almost unaffected by this parameter except for the stability property. As a result, it can have second order accuracy, explicit formulation and controllable numerical dissipation in addition to the enhanced stability property. In fact, it can have unconditional stability for the system with the instantaneous degree of nonlinearity less than or equal to the specified value of the virtual parameter for the modes of interest for each time step.

引用

页码：297 / 313

页数：17

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